Percentage

{
  "antigravity_content": "## Story: The Festival of Percentages\n\n### Setting the Scene\nIt was a bright morning in the bustling town of Varanasi, where the sweet aroma of jalebis wafted through the air. The festival of Diwali was just around the corner, and everyone was busy preparing for the grand celebration. Lights were being hung, new clothes were being bought, and sweets were being prepared in every household. \n\n### The Problem\nAarav, a smart 10-year-old, was excited to help his mother, Aditi, with the Diwali preparations. This year, Aditi had promised to make 200 ladoos for the family and their neighbors. However, as they began making them, Aditi noticed that they were running out of ingredients like sugar and flour.\n\n\"Ah, Aarav! I just realized that we might need more ingredients. We have only 85% of what we need for the ladoos! Can you help me figure out how much more we need?\" Aditi said, looking worried.\n\n### The Math Adventure Begins\nAarav, always up for a challenge, rolled up his sleeves and decided to help his mother. He quickly remembered that 85% means they have only 85 out of every 100 parts of the ingredients.\n\n\"Okay, Mom! If we need enough to make 200 ladoos, let\u0027s first figure out how much we have!\" Aarav exclaimed. \n\nAarav calculated:\n- 85% of the total ingredients needed means they have 0.85 x 200 = 170 ladoos worth of ingredients. \n\n### Discovering the Missing Amount\n\"But we need enough to make 200 ladoos. Let\u0027s find out how many more ingredients we need!\" Aarav suggested. \n\nTo find out how many ingredients were missing, Aarav did the math:\n- Total ladoos needed = 200\n- Ladoos they can make with the ingredients they have = 170\n\nSo, they are short:\n200 - 170 = 30 ladoos.\n\n\"This means we need enough ingredients to make 30 more ladoos, right?\" Aarav asked, feeling proud of his calculation.\n\n### The Ingredient Shop\nExcited to share this discovery with his mother, Aarav and Aditi rushed to the local market, Chaat Bazaar. They approached Mrs. Sharma, the friendly shopkeeper, who was busy preparing for the rush of customers during the festival. \n\n\"Namaste, Mrs. Sharma! We need to buy ingredients to make 30 more ladoos. Can you help us?\" Aarav asked.\n\n\"Of course! Do you know how much sugar and flour you need for that?\" Mrs. Sharma replied with a smile.\n\nAarav quickly explained, \"We need to find out what percentage of the full amount we need for 30 ladoos. If one ladoo requires 100 grams of flour, we can calculate the total.\"\n\n### Calculating the Ingredients\nMrs. Sharma nodded as Aarav continued, \"If we need 30 more ladoos, we will need:\n30 ladoos x 100 grams = 3000 grams of flour.\n\nAnd if ladoo requires 50 grams of sugar, we will need:\n30 ladoos x 50 grams = 1500 grams of sugar.\"\n\n\"That\u0027s correct, Aarav! Now let\u2019s find out how much you will pay for these ingredients. Flour is priced at \u20b940 per kilogram and sugar at \u20b970 per kilogram,\" Mrs. Sharma added.\n\n### The Final Calculation\nAarav quickly converted grams into kilograms (as there are 1000 grams in a kilogram):\n- Flour: 3000 grams = 3 kilograms\n- Sugar: 1500 grams = 1.5 kilograms\n\nNow the cost would be:\n- Flour: 3 kg x \u20b940 = \u20b9120\n- Sugar: 1.5 kg x \u20b970 = \u20b9105\n\nFinally, he calculated the total cost:\n\u20b9120 (flour) + \u20b9105 (sugar) = \u20b9225.\n\n### The Celebration\nWith the ingredients purchased and the ladoos made, Aarav and his family were ready for Diwali. They distributed the ladoos to neighbors and friends and enjoyed the twinkling lights and vibrant festivities together.\n\n\"Thank you, Aarav! You saved the day with your math skills!\" Aditi said, hugging her son with pride.\n\n### Conclusion\nAnd so, Aarav not only helped make delicious ladoos but also learned how percentages play an important role in everyday life. As he enjoyed the festival, he realized that math wasn\u2019t just a subject; it was a part of every wonderful moment around him. \n\nAs the night sky lit up with dazzling fireworks, Aarav knew he was ready for the next math challenge that awaited him!",
  "meta": {
    "difficulty_distribution": {
      "1": 10,
      "2": 10,
      "3": 10,
      "4": 10
    },
    "total_questions": 40
  },
  "prompt_id": "cultural_storyteller",
  "prompt_name": "\ud83d\udcd6 Cultural Storyteller (Research: PMC Ghana 2024)",
  "questions": [
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "80% of 200 sweets is calculated as 0.80 x 200 = 160 sweets.",
      "id": 1,
      "options": [
        "A) 160",
        "B) 180",
        "C) 200",
        "D) 150"
      ],
      "question": "Riya and her mother are preparing for a festival. They need 200 sweets but have only 80% of the ingredients. How many sweets can they make?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "75% of \u20b94000 is calculated as 0.75 x 4000 = \u20b93000.",
      "id": 2,
      "options": [
        "A) \u20b92000",
        "B) \u20b93000",
        "C) \u20b92500",
        "D) \u20b93500"
      ],
      "question": "Amit has 75% of the money he needs to buy a new bicycle costing \u20b94000. How much money does he have?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "If 90% completed their homework, then 10% did not. 10% of 40 is 0.10 x 40 = 4 students.",
      "id": 3,
      "options": [
        "A) 2",
        "B) 4",
        "C) 3",
        "D) 5"
      ],
      "question": "In a class of 40 students, 90% completed their homework. How many students did not complete their homework?"
    },
    {
      "correct_answer": "D",
      "difficulty": 1,
      "explanation": "20% of \u20b9500 is \u20b9100, so the sale price is \u20b9500 - \u20b9100 = \u20b9400.",
      "id": 4,
      "options": [
        "A) \u20b9400",
        "B) \u20b9350",
        "C) \u20b9300",
        "D) \u20b9450"
      ],
      "question": "Neha saw a dress on sale for 20% off. If the original price is \u20b9500, what is the sale price?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "75% of 120 runs is calculated as 0.75 x 120 = 90 runs.",
      "id": 5,
      "options": [
        "A) 90",
        "B) 85",
        "C) 75",
        "D) 80"
      ],
      "question": "During a cricket match, Ravi\u0027s team scored 75% of their target of 120 runs. How many runs did they score?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "If 60% are boys, then 40% are girls. 40% of 50 is 0.40 x 50 = 20 girls.",
      "id": 6,
      "options": [
        "A) 20",
        "B) 30",
        "C) 25",
        "D) 15"
      ],
      "question": "In a school, 60% of the students are boys. If there are 50 students, how many are girls?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "10% of \u20b9200 is \u20b920, so the discount amount is \u20b920.",
      "id": 7,
      "options": [
        "A) \u20b910",
        "B) \u20b915",
        "C) \u20b920",
        "D) \u20b925"
      ],
      "question": "A shopkeeper gives a discount of 10% on a toy that costs \u20b9200. What is the discount amount?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "If 95% corresponds to 57 questions, then total questions = 57 / 0.95 = 60.",
      "id": 8,
      "options": [
        "A) 60",
        "B) 50",
        "C) 70",
        "D) 80"
      ],
      "question": "Anjali scored 95% on her math test, getting 57 questions right. How many questions were on the test?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "40% of 500 kg is calculated as 0.40 x 500 = 200 kg.",
      "id": 9,
      "options": [
        "A) 150 kg",
        "B) 200 kg",
        "C) 250 kg",
        "D) 300 kg"
      ],
      "question": "During a festival, a family bought 40% of their groceries. If they need 500 kg in total, how much did they buy?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "15% of \u20b920,000 is \u20b93,000, so new salary = \u20b920,000 + \u20b93,000 = \u20b923,000.",
      "id": 10,
      "options": [
        "A) \u20b922,000",
        "B) \u20b923,000",
        "C) \u20b921,000",
        "D) \u20b920,500"
      ],
      "question": "Samir\u0027s salary increased by 15%. If his previous salary was \u20b920,000, what is his new salary?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "If \u20b9800 is 80%, then total money = \u20b9800 / 0.80 = \u20b91000.",
      "id": 11,
      "options": [
        "A) \u20b9900",
        "B) \u20b91000",
        "C) \u20b91100",
        "D) \u20b91200"
      ],
      "question": "Arjun has \u20b9800, which is 80% of the total money he wants to save for a new bike. How much does he need in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "25% of \u20b9400 is \u20b9100, so she pays \u20b9400 - \u20b9100 = \u20b9300.",
      "id": 12,
      "options": [
        "A) \u20b9300",
        "B) \u20b9250",
        "C) \u20b9350",
        "D) \u20b9200"
      ],
      "question": "Rani bought a shirt at 25% off the marked price of \u20b9400. How much did she pay?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "If 60 ladoos is 75%, then total ladoos = 60 / 0.75 = 80.",
      "id": 13,
      "options": [
        "A) 70",
        "B) 80",
        "C) 90",
        "D) 100"
      ],
      "question": "During a festival, a family has 60 ladoos, which is 75% of the total they want to make. How many ladoos do they want to make?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "30% of 200 is 60, so boys = 200 - 60 = 140.",
      "id": 14,
      "options": [
        "A) 120",
        "B) 140",
        "C) 150",
        "D) 160"
      ],
      "question": "A school has 200 students, and 30% of them are girls. How many boys are there?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "Let the original price be x, then x - 0.20x = \u20b912,000, so x = \u20b915,000.",
      "id": 15,
      "options": [
        "A) \u20b914,000",
        "B) \u20b915,000",
        "C) \u20b916,000",
        "D) \u20b913,000"
      ],
      "question": "Rahul bought a new phone for \u20b912,000 after a 20% discount. What was the original price?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "If 120 runs is 80%, then target = 120 / 0.80 = 150 runs.",
      "id": 16,
      "options": [
        "A) 130",
        "B) 140",
        "C) 150",
        "D) 160"
      ],
      "question": "In a cricket match, Team B scored 120 runs, which is 80% of the total runs they wanted to achieve. What was their target?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "Let original price be x, then x - 0.25x = \u20b91,500, so x = \u20b92,000.",
      "id": 17,
      "options": [
        "A) \u20b91,800",
        "B) \u20b92,000",
        "C) \u20b92,500",
        "D) \u20b91,600"
      ],
      "question": "During a sale, a dress costs \u20b91,500 after a discount of 25%. What was the original price?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "10% of \u20b92,000 is \u20b9200, so total bill = \u20b92,000 + \u20b9200 = \u20b92,200.",
      "id": 18,
      "options": [
        "A) \u20b92,200",
        "B) \u20b92,300",
        "C) \u20b92,400",
        "D) \u20b92,500"
      ],
      "question": "A restaurant serves a 10% service charge on a bill of \u20b92,000. What is the total bill?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "If 40% of total toys is 50, total toys = 50 / 0.40 = 125.",
      "id": 19,
      "options": [
        "A) 100",
        "B) 120",
        "C) 80",
        "D) 150"
      ],
      "question": "Amit\u0027s toy collection has 40% cars, and he has 50 cars. How many toys does he have in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "If 70% is 210, total students = 210 / 0.70 = 300.",
      "id": 20,
      "options": [
        "A) 300",
        "B) 280",
        "C) 240",
        "D) 260"
      ],
      "question": "In a school, 70% of students passed the exam. If 210 students passed, how many students were there in total?"
    },
    {
      "correct_answer": "C",
      "difficulty": 3,
      "explanation": "65% of \u20b910,000 is \u20b96,500. So, they still need \u20b910,000 - \u20b96,500 = \u20b93,500.",
      "id": 21,
      "options": [
        "A) \u20b93,500",
        "B) \u20b92,500",
        "C) \u20b94,000",
        "D) \u20b91,500"
      ],
      "question": "Priya and her brother are saving money for a vacation. They have saved 65% of their goal of \u20b910,000. How much do they still need to save?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "15% of \u20b91,200 is \u20b9180, so selling price = \u20b91,200 - \u20b9180 = \u20b91,020.",
      "id": 22,
      "options": [
        "A) \u20b91,020",
        "B) \u20b91,100",
        "C) \u20b91,050",
        "D) \u20b91,200"
      ],
      "question": "A shopkeeper marks a price of \u20b91,200 for a dress but offers a discount of 15%. What is the selling price?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "75% of 80 ladoos is calculated as 0.75 x 80 = 60 ladoos.",
      "id": 23,
      "options": [
        "A) 60",
        "B) 70",
        "C) 75",
        "D) 80"
      ],
      "question": "During a festival, a family needs 80 ladoos. If they can only make 75% of that due to missing ingredients, how many ladoos can they make?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "70% of \u20b930,000 is \u20b921,000.",
      "id": 24,
      "options": [
        "A) \u20b921,000",
        "B) \u20b920,000",
        "C) \u20b925,000",
        "D) \u20b922,000"
      ],
      "question": "Anita wants to buy a bike for \u20b930,000 but has saved only 70% of the amount. How much has she saved?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "80% of 25 matches is calculated as 0.80 x 25 = 20 matches.",
      "id": 25,
      "options": [
        "A) 20",
        "B) 22",
        "C) 18",
        "D) 15"
      ],
      "question": "In a cricket tournament, Team A won 80% of their matches. If they played 25 matches, how many did they win?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "Let the original price be x, then x - 0.10x = \u20b925,000, so x = \u20b927,500.",
      "id": 26,
      "options": [
        "A) \u20b927,500",
        "B) \u20b928,000",
        "C) \u20b930,000",
        "D) \u20b926,000"
      ],
      "question": "A family bought a new refrigerator for \u20b925,000 after a discount of 10%. What was the original price?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "30% of 200 students is calculated as 0.30 x 200 = 60 students.",
      "id": 27,
      "options": [
        "A) 60",
        "B) 50",
        "C) 70",
        "D) 80"
      ],
      "question": "A school conducted a survey and found that 30% of students prefer online classes. If there are 200 students, how many prefer online classes?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "Let original price be x, then x - 0.15x = \u20b935,000, so x = \u20b941,176.",
      "id": 28,
      "options": [
        "A) \u20b940,000",
        "B) \u20b941,000",
        "C) \u20b942,000",
        "D) \u20b939,000"
      ],
      "question": "During a sale, a TV is available for \u20b935,000 after a discount of 15%. What was the original price?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "85% of 20 exams is calculated as 0.85 x 20 = 17 exams passed.",
      "id": 29,
      "options": [
        "A) 15",
        "B) 16",
        "C) 17",
        "D) 18"
      ],
      "question": "A student is scoring 85% in her exams. If she has taken 20 exams, how many has she passed?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "If 1000 kg is 80%, then total harvest = 1000 / 0.80 = 1250 kg.",
      "id": 30,
      "options": [
        "A) 1200 kg",
        "B) 1500 kg",
        "C) 1300 kg",
        "D) 1100 kg"
      ],
      "question": "A farmer harvested 1000 kg of rice, which is 80% of his total harvest. What is his total harvest?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "30% of \u20b91,000 is calculated as 0.30 x 1000 = \u20b9300.",
      "id": 31,
      "options": [
        "A) \u20b9250",
        "B) \u20b9300",
        "C) \u20b9400",
        "D) \u20b9350"
      ],
      "question": "Priya plans to spend 30% of her allowance of \u20b91,000 on a new dress. How much will she spend?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "40% of \u20b950,000 is calculated as 0.40 x 50000 = \u20b920,000.",
      "id": 32,
      "options": [
        "A) \u20b915,000",
        "B) \u20b920,000",
        "C) \u20b925,000",
        "D) \u20b930,000"
      ],
      "question": "A family wants to save 40% of their monthly income of \u20b950,000 for vacation. How much will they save?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "25% of \u20b9800 is \u20b9200, so the sale price is \u20b9800 - \u20b9200 = \u20b9600.",
      "id": 33,
      "options": [
        "A) \u20b9600",
        "B) \u20b9650",
        "C) \u20b9700",
        "D) \u20b9750"
      ],
      "question": "A shop has a sale with a discount of 25% on all items. If an item costs \u20b9800, what is the sale price?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "If 75% is 300, then total students = 300 / 0.75 = 400.",
      "id": 34,
      "options": [
        "A) 350",
        "B) 400",
        "C) 450",
        "D) 500"
      ],
      "question": "In a school, 75% of the students passed the exam. If 300 students passed, how many students were there in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "If \u20b91,200 is 60%, then total saving = \u20b91,200 / 0.60 = \u20b92,000.",
      "id": 35,
      "options": [
        "A) \u20b91,800",
        "B) \u20b92,000",
        "C) \u20b92,200",
        "D) \u20b92,500"
      ],
      "question": "Amit had \u20b91,200, which is 60% of the total he wanted to save. How much did he want to save in total?"
    },
    {
      "correct_answer": "C",
      "difficulty": 4,
      "explanation": "80% of \u20b910,000 is calculated as 0.80 x 10000 = \u20b98,000.",
      "id": 36,
      "options": [
        "A) \u20b96,000",
        "B) \u20b97,000",
        "C) \u20b98,000",
        "D) \u20b99,000"
      ],
      "question": "During a festival, a family used 80% of their budget of \u20b910,000. How much did they spend?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "15% of \u20b92,000 is \u20b9300, so final price = \u20b92,000 - \u20b9300 = \u20b91,700.",
      "id": 37,
      "options": [
        "A) \u20b91,700",
        "B) \u20b91,800",
        "C) \u20b91,900",
        "D) \u20b91,600"
      ],
      "question": "A shop is offering a 15% discount on an item worth \u20b92,000. What will be the final price after the discount?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "90% of 50 questions is calculated as 0.90 x 50 = 45 questions.",
      "id": 38,
      "options": [
        "A) 45",
        "B) 40",
        "C) 42",
        "D) 38"
      ],
      "question": "A student scored 90% on an exam with 50 questions. How many did she answer correctly?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "20% of \u20b950,000 is \u20b910,000, so the sale price is \u20b950,000 - \u20b910,000 = \u20b940,000.",
      "id": 39,
      "options": [
        "A) \u20b940,000",
        "B) \u20b942,000",
        "C) \u20b945,000",
        "D) \u20b948,000"
      ],
      "question": "A shop has a sale where all items are 20% off. If a laptop costs \u20b950,000, what will the sale price be?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "75% of \u20b980,000 is calculated as 0.75 x 80000 = \u20b960,000.",
      "id": 40,
      "options": [
        "A) \u20b950,000",
        "B) \u20b955,000",
        "C) \u20b960,000",
        "D) \u20b970,000"
      ],
      "question": "During a charity event, a group raised 75% of their target of \u20b980,000. How much did they raise?"
    }
  ],
  "source_ixl_skills": [
    "What percentage is illustrated?"
  ],
  "topic": "Percentage"
}