{
  "title": "Word Problems (Compound Interest) - Grade 9 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Rita invests ₹1000 at 10% p.a. compound interest for 2 years. Total amount = ? 🧮", "options": {"A": "1200", "B": "1210", "C": "1100", "D": "1300"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "A bike worth ₹50,000 depreciates 20% per year. Value after 1 year = ?", "options": {"A": "₹40,000", "B": "₹45,000", "C": "₹48,000", "D": "₹42,000"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Population of town 2000, grows 5% yearly. Population after 1 year = ?", "options": {"A": "2100", "B": "2050", "C": "2200", "D": "2005"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Find compound interest on ₹2000 at 5% p.a. for 2 years.", "options": {"A": "205", "B": "210", "C": "200", "D": "220"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "A car bought for ₹3,00,000 depreciates 10% per year. Value after 2 years = ?", "options": {"A": "₹2,43,000", "B": "₹2,70,000", "C": "₹2,40,000", "D": "₹2,50,000"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "If you deposit ₹5000 in bank at 8% p.a. compound interest, amount after 1 year = ?", "options": {"A": "5400", "B": "5800", "C": "5200", "D": "5600"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "A tree grows 2% per year. If height 300 cm now, height after 1 year = ?", "options": {"A": "306 cm", "B": "310 cm", "C": "302 cm", "D": "304 cm"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Find amount for ₹800 at 10% p.a. for 2 years compound interest.", "options": {"A": "968", "B": "960", "C": "880", "D": "900"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "A machine worth ₹80,000 depreciates 5% yearly. Value after 1 year?", "options": {"A": "₹76,000", "B": "₹75,000", "C": "₹78,000", "D": "₹77,000"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "City population 10,000 increases 3% annually. After 1 year population = ?", "options": {"A": "10,300", "B": "10,030", "C": "10,003", "D": "10,330"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Compound interest on ₹4000 at 4% p.a. for 2 years = ?", "options": {"A": "326.4", "B": "320", "C": "324", "D": "336"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "A phone's value reduces 15% each year. If new price ₹20,000, value after 1 year?", "options": {"A": "₹17,000", "B": "₹18,000", "C": "₹16,000", "D": "₹15,000"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Amount for ₹1500 at 6% p.a. compound interest for 2 years = ?", "options": {"A": "1685.4", "B": "1680", "C": "1690", "D": "1700"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Value of ₹10,000 after 2 years at 8% depreciation p.a. = ?", "options": {"A": "8464", "B": "8500", "C": "8600", "D": "8400"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Village population 5000 grows 2% per year. After 1 year = ?", "options": {"A": "5100", "B": "5200", "C": "5050", "D": "5002"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Compound interest on ₹6000 at 3% p.a. for 2 years = ?", "options": {"A": "365.4", "B": "360", "C": "366", "D": "370"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Car worth ₹4,00,000 depreciates 8% per year. Value after 1 year?", "options": {"A": "₹3,68,000", "B": "₹3,70,000", "C": "₹3,60,000", "D": "₹3,80,000"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Amount for ₹900 at 5% p.a. for 2 years compound interest = ?", "options": {"A": "992.25", "B": "990", "C": "1000", "D": "995"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "If a laptop depreciates 12% yearly from ₹50,000, value after 1 year?", "options": {"A": "₹44,000", "B": "₹43,000", "C": "₹45,000", "D": "₹46,000"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Population 8000 grows 4% per year. After 1 year = ?", "options": {"A": "8320", "B": "8400", "C": "8120", "D": "8300"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "A sum of ₹12,000 is invested at 8% p.a. compound interest. Amount after 2 years? 💰", "options": {"A": "13996.8", "B": "14000", "C": "13800", "D": "13900"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "A machine depreciates 10% annually. After 2 years its value is ₹81,000. Original price?", "options": {"A": "100000", "B": "90000", "C": "110000", "D": "95000"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Population 25000 grows 2% in first year, 3% in second year. Population after 2 years?", "options": {"A": "26265", "B": "26000", "C": "26500", "D": "26100"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Find CI on ₹15,000 at 6% p.a. for 2 years.", "options": {"A": "1854", "B": "1800", "C": "1900", "D": "2000"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "A house appreciates 5% per year. If current value ₹30,00,000, value after 2 years?", "options": {"A": "33,07,500", "B": "33,00,000", "C": "32,00,000", "D": "31,50,000"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Value of ₹18,000 after 3 years at 5% depreciation p.a. = ?", "options": {"A": "15433.25", "B": "15000", "C": "16000", "D": "15500"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "A sum doubles in 8 years at compound interest. In how many years will it triple? (approx)", "options": {"A": "12.68", "B": "10", "C": "15", "D": "20"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Compound interest on ₹25,000 at 4% p.a. for 3 years = ?", "options": {"A": "3121.6", "B": "3000", "C": "3200", "D": "3100"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "A car worth ₹5,00,000 depreciates 15% first year, 10% second year. Value after 2 years?", "options": {"A": "3,82,500", "B": "4,00,000", "C": "3,75,000", "D": "3,80,000"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "If ₹8000 amounts to ₹9261 in 3 years compounded annually, rate% = ?", "options": {"A": "5%", "B": "6%", "C": "4%", "D": "8%"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Population 1,20,000 grows 2.5% per year. After 2 years?", "options": {"A": "1,26,075", "B": "1,26,000", "C": "1,25,000", "D": "1,27,000"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Find amount for ₹7,500 at 8% p.a. compounded half-yearly for 1 year.", "options": {"A": "8112", "B": "8100", "C": "8120", "D": "8000"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Depreciation: Value of machinery after 3 years at 7% p.a., original ₹2,00,000?", "options": {"A": "1,60,871.42", "B": "1,70,000", "C": "1,60,000", "D": "1,65,000"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "CI for 2 years at 12% p.a. on ₹10,000 = ?", "options": {"A": "2544", "B": "2500", "C": "2400", "D": "2600"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "A town population 80000 grows 3% per year. After 2 years?", "options": {"A": "84872", "B": "84000", "C": "85000", "D": "84500"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Value after 2 years of ₹22,000 at 9% depreciation p.a. = ?", "options": {"A": "18211.8", "B": "18000", "C": "18500", "D": "19000"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "If ₹5000 becomes ₹6050 in 2 years at CI, rate% = ?", "options": {"A": "10%", "B": "12%", "C": "8%", "D": "9%"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "A sum invested at CI amounts to ₹10816 in 2 years and ₹11248.64 in 3 years. Find principal.", "options": {"A": "10000", "B": "9000", "C": "11000", "D": "12000"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Car depreciates 12% p.a. After 3 years value ₹1,36,294.08. Original price?", "options": {"A": "200000", "B": "180000", "C": "220000", "D": "190000"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Population grows from 50,000 to 55,125 in 2 years. Growth rate% p.a.?", "options": {"A": "5%", "B": "4%", "C": "6%", "D": "8%"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "A sum of money doubles in 6 years at CI. In how many years will it be 8 times? 🤔", "options": {"A": "18", "B": "12", "C": "24", "D": "30"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Difference between CI and SI on a sum for 2 years at 10% p.a. is ₹200. Find sum.", "options": {"A": "20000", "B": "15000", "C": "25000", "D": "30000"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "A machine depreciates 8% p.a. After 4 years value is ₹6,99,840. Original price?", "options": {"A": "1000000", "B": "900000", "C": "1100000", "D": "1200000"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "Population of city increases 5% annually. If present population 92,610, it was 80,000 ___ years ago.", "options": {"A": "3", "B": "2", "C": "4", "D": "5"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "At what rate% p.a. compound interest will ₹15625 become ₹17576 in 3 years?", "options": {"A": "4%", "B": "5%", "C": "6%", "D": "8%"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "A car's value depreciates 10% first year, 15% second year, 12% third year. If bought for ₹5,00,000, value after 3 years?", "options": {"A": "3,36,600", "B": "3,50,000", "C": "3,40,000", "D": "3,30,000"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "If the CI on a sum for 2 years at 12% p.a. is ₹2544, find the sum.", "options": {"A": "10000", "B": "12000", "C": "15000", "D": "8000"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "A sum invested at CI amounts to ₹2420 in 2 years and ₹2662 in 3 years. Find rate%.", "options": {"A": "10%", "B": "12%", "C": "15%", "D": "8%"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "Population grows 4% in first year, 5% in second, 6% in third. If initial 1,00,000, after 3 years?", "options": {"A": "1,15,752", "B": "1,16,000", "C": "1,15,000", "D": "1,14,000"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Find CI on ₹50,000 at 8% p.a. for 1.5 years compounded half-yearly.", "options": {"A": "6243.20", "B": "6000", "C": "6200", "D": "6300"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "hard", "question": "A principal amounts to ₹13,310 in 2 years at 10% p.a. compound interest. Find principal.", "options": {"A": "11000", "B": "10000", "C": "12000", "D": "13000"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "If depreciation rate is 12% p.a., value after 3 years = original × (0.88)^3. Original ₹4,00,000, value?", "options": {"A": "2,72,588.80", "B": "2,70,000", "C": "2,80,000", "D": "2,75,000"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "The difference between CI and SI on ₹16,000 for 2 years is ₹102.40. Find rate%.", "options": {"A": "8%", "B": "10%", "C": "12%", "D": "6%"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "A sum of money becomes ₹1,331 in 3 years at 10% p.a. compound interest. Find sum.", "options": {"A": "1000", "B": "1100", "C": "1200", "D": "1300"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "A machine depreciates so that after 3 years its value is ₹6,85,900. If rate 10% p.a., original price?", "options": {"A": "1000000", "B": "900000", "C": "1100000", "D": "800000"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Population 2,00,000 grows 3% per year. After how many years will it reach 2,62,348? (log use approx)", "options": {"A": "9", "B": "8", "C": "10", "D": "12"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "Find time if ₹12,000 amounts to ₹15,987.20 at 10% p.a. compounded annually.", "options": {"A": "3", "B": "2", "C": "4", "D": "5"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "A sum doubles in 5 years at CI. Rate% p.a.? (approx)", "options": {"A": "14.87%", "B": "12%", "C": "15%", "D": "20%"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "Value of ₹30,000 after 4 years at 5% depreciation p.a. = ?", "options": {"A": "24,433.88", "B": "24,000", "C": "25,000", "D": "23,500"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "A principal becomes ₹21,632 in 2 years and ₹23,255.36 in 3 years at CI. Find principal.", "options": {"A": "18000", "B": "20000", "C": "19000", "D": "21000"}, "correct_answer": "A"}
  ]
}