{
  "title": "Proportion Problems - Grade 7 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "🍎 If 3 apples cost ₹45, what is the cost of 7 apples? (direct proportion)",
      "options": { "A": "₹100", "B": "₹105", "C": "₹110", "D": "₹115" },
      "correct_answer": "B"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "📏 5 metres of cloth cost ₹250. How much for 8 metres?",
      "options": { "A": "₹390", "B": "₹395", "C": "₹400", "D": "₹405" },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "👷 6 workers build a wall in 10 days. How many days for 15 workers? (inverse proportion)",
      "options": { "A": "3", "B": "4", "C": "5", "D": "6" },
      "correct_answer": "B"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "🚗 A car travels 300 km in 5 hours. How far in 8 hours at same speed?",
      "options": { "A": "470 km", "B": "475 km", "C": "480 km", "D": "485 km" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "📚 8 books weigh 12 kg. How many kg do 14 books weigh?",
      "options": { "A": "20 kg", "B": "21 kg", "C": "22 kg", "D": "23 kg" },
      "correct_answer": "B"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "💰 If ₹1200 is divided in ratio 2:3, smaller part is?",
      "options": { "A": "₹460", "B": "₹470", "C": "₹480", "D": "₹490" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "🍫 10 chocolates cost ₹80. Cost of 18 chocolates?",
      "options": { "A": "₹142", "B": "₹144", "C": "₹146", "D": "₹148" },
      "correct_answer": "B"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "🏗️ 4 machines make 200 parts in 5 hours. How many parts in 10 hours by 2 machines?",
      "options": { "A": "190", "B": "195", "C": "200", "D": "205" },
      "correct_answer": "C"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "⛽ A car uses 15 litres for 180 km. How many litres for 300 km?",
      "options": { "A": "24", "B": "25", "C": "26", "D": "27" },
      "correct_answer": "B"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "📦 If 5 boxes hold 60 kg, how many boxes for 144 kg?",
      "options": { "A": "10", "B": "11", "C": "12", "D": "13" },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🍕 2 pizzas serve 6 people. How many pizzas for 21 people?",
      "options": { "A": "6", "B": "7", "C": "8", "D": "9" },
      "correct_answer": "B"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "🚌 Bus fare for 15 km is ₹45. Fare for 35 km?",
      "options": { "A": "₹100", "B": "₹102", "C": "₹105", "D": "₹108" },
      "correct_answer": "C"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "📐 If 3 : 5 = x : 20, find x.",
      "options": { "A": "10", "B": "11", "C": "12", "D": "13" },
      "correct_answer": "C"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "🍓 4 kg strawberries make 1 kg jam. How many kg strawberries for 3.5 kg jam?",
      "options": { "A": "13", "B": "13.5", "C": "14", "D": "14.5" },
      "correct_answer": "C"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "📊 If a : b = 2 : 3 and b : c = 6 : 5, find a : c.",
      "options": { "A": "4 : 5", "B": "5 : 4", "C": "3 : 4", "D": "4 : 3" },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "💰 Divide ₹1500 between A and B in ratio 7 : 8. A’s share?",
      "options": { "A": "₹690", "B": "₹695", "C": "₹700", "D": "₹705" },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🏃 Running 8 km burns 600 calories. How many km to burn 1500 calories?",
      "options": { "A": "19", "B": "20", "C": "21", "D": "22" },
      "correct_answer": "B"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "📦 6 workers pack 180 boxes in 3 days. How many boxes packed by 10 workers in 2 days?",
      "options": { "A": "190", "B": "195", "C": "200", "D": "205" },
      "correct_answer": "C"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "🍎 If 12 apples cost ₹96, cost of 25 apples?",
      "options": { "A": "₹195", "B": "₹198", "C": "₹200", "D": "₹205" },
      "correct_answer": "C"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "📏 Map scale 1 cm = 5 km. Distance on map for 35 km?",
      "options": { "A": "6 cm", "B": "6.5 cm", "C": "7 cm", "D": "7.5 cm" },
      "correct_answer": "C"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "🚗 Speed 60 km/h, time 4 h. If speed 80 km/h, time for same distance?",
      "options": { "A": "2.5 h", "B": "3 h", "C": "3.5 h", "D": "4 h" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "👷 15 men finish in 24 days. How many men to finish in 18 days?",
      "options": { "A": "18", "B": "19", "C": "20", "D": "21" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "💰 Interest on ₹2000 at 5% for 3 years = ? (simple interest proportion)",
      "options": { "A": "₹290", "B": "₹295", "C": "₹300", "D": "₹305" },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "📦 If 8 pumps empty tank in 9 hours, how many pumps to empty in 6 hours?",
      "options": { "A": "10", "B": "11", "C": "12", "D": "13" },
      "correct_answer": "C"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "🍰 Recipe: 3 cups flour for 2 cakes. How many cups for 7 cakes?",
      "options": { "A": "9.5", "B": "10", "C": "10.5", "D": "11" },
      "correct_answer": "C"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "📊 If x : y = 3 : 4 and y : z = 8 : 9, find x : z.",
      "options": { "A": "2 : 3", "B": "3 : 4", "C": "4 : 5", "D": "5 : 6" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "🏗️ 10 workers 6 hours/day finish in 15 days. How many days for 12 workers 5 hours/day?",
      "options": { "A": "13", "B": "14", "C": "15", "D": "16" },
      "correct_answer": "C"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "📐 If 5, x, 20, 24 are in proportion, find x.",
      "options": { "A": "5", "B": "6", "C": "7", "D": "8" },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "🚌 40 passengers pay ₹6000 total. If 5 more join, how much each pays now? (inverse)",
      "options": {
        "A": "₹130",
        "B": "₹132",
        "C": "₹133.33",
        "D": "₹135"
      },
      "correct_answer": "C"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "🍫 18 chocolates divided in ratio 2:3:4 among 3 kids. Largest share?",
      "options": { "A": "6", "B": "7", "C": "8", "D": "9" },
      "correct_answer": "C"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "⛽ Car gives 20 km per litre. How many litres for 450 km?",
      "options": { "A": "21.5", "B": "22", "C": "22.5", "D": "23" },
      "correct_answer": "C"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "🏃 A runs 100 m in 15 sec, B in 12 sec. Ratio of speeds A : B?",
      "options": { "A": "4 : 5", "B": "5 : 4", "C": "3 : 4", "D": "4 : 3" },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "💰 Price of 12 oranges = price of 8 apples. If 1 apple ₹15, 1 orange?",
      "options": { "A": "₹9", "B": "₹9.5", "C": "₹10", "D": "₹10.5" },
      "correct_answer": "C"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "📦 6 containers hold 90 L. How many containers for 150 L?",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "B"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "📏 3 cm on map = 12 km actual. Actual distance for 8 cm?",
      "options": { "A": "30 km", "B": "32 km", "C": "34 km", "D": "36 km" },
      "correct_answer": "B"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "🍕 4 pizzas for ₹600. How many pizzas for ₹1350?",
      "options": { "A": "8", "B": "9", "C": "10", "D": "11" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🚚 5 trucks carry 40 tonnes in 8 trips. How many trips for 8 trucks to carry 64 tonnes?",
      "options": {
        "A": "6",
        "B": "7",
        "C": "8",
        "D": "9"
      },
      "correct_answer": "C"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "📊 If a/b = 3/4 and b/c = 2/5, find a : c.",
      "options": { "A": "3 : 10", "B": "4 : 9", "C": "5 : 12", "D": "6 : 13" },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "💧 Tap fills 30 L in 5 min. Time to fill 84 L?",
      "options": {
        "A": "13 min",
        "B": "13.5 min",
        "C": "14 min",
        "D": "14.5 min"
      },
      "correct_answer": "C"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "🏗️ 8 masons build wall in 10 days. After 4 days, 2 left. Remaining days?",
      "options": { "A": "7", "B": "8", "C": "9", "D": "10" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "📐 If (2x + 3) : (5x - 4) = 3 : 4, find x.",
      "options": {
        "A": "24/7",
        "B": "25/7",
        "C": "26/7",
        "D": "27/7"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "💰 ₹7700 divided among A, B, C in ratio 1/2 : 1/3 : 1/4. C’s share?",
      "options": {
        "A": "₹1760",
        "B": "₹1765",
        "C": "₹1776.92",
        "D": "₹1780"
      },
      "correct_answer": "C"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🏗️ A and B together do work in 12 days, B and C in 15 days, A and C in 20 days. A alone days?",
      "options": {
        "A": "24",
        "B": "28",
        "C": "30",
        "D": "36"
      },
      "correct_answer": "C"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "🚗 Two cars start towards each other, speeds 50 km/h and 60 km/h, distance 330 km. Time to meet?",
      "options": { "A": "2.5 h", "B": "3 h", "C": "3.5 h", "D": "4 h" },
      "correct_answer": "B"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "📦 3 machines produce 100 parts in 2 hours. How many machines to produce 250 parts in 1.5 hours?",
      "options": { "A": "9", "B": "10", "C": "11", "D": "12" },
      "correct_answer": "B"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "🍎 Fruit seller mixes apples ₹40/kg and ₹60/kg in ratio 3:2. Price per kg of mix?",
      "options": { "A": "₹46", "B": "₹47", "C": "₹48", "D": "₹49" },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "📊 If a : b = 3 : 5, b : c = 7 : 8, find a : b : c.",
      "options": {
        "A": "21 : 35 : 40",
        "B": "20 : 35 : 40",
        "C": "21 : 36 : 40",
        "D": "21 : 35 : 42"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "⏳ A tap fills in 6 hours, another empties in 8 hours. Both open, tank fills in?",
      "options": { "A": "22 h", "B": "23 h", "C": "24 h", "D": "25 h" },
      "correct_answer": "C"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "💰 Ratio of ages A:B = 2:3, B:C = 4:5. Sum of ages 105. Age of B?",
      "options": { "A": "32", "B": "34", "C": "36", "D": "38" },
      "correct_answer": "C"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "🚌 Bus covers distance at 40 km/h in 9 hrs. To cover in 6 hrs, speed?",
      "options": {
        "A": "58 km/h",
        "B": "59 km/h",
        "C": "60 km/h",
        "D": "62 km/h"
      },
      "correct_answer": "C"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "📐 If x/2 = y/3 = z/5 and x+y+z = 150, find y.",
      "options": { "A": "40", "B": "42", "C": "44", "D": "45" },
      "correct_answer": "D"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "🏗️ 20 men or 30 women do work in 45 days. How many days for 15 men and 10 women?",
      "options": {
        "A": "40.5",
        "B": "41",
        "C": "41.54",
        "D": "42"
      },
      "correct_answer": "C"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🍫 Chocolates divided among 3 in ratio 1/2 : 1/3 : 1/4. Smallest gets 12. Total chocolates?",
      "options": { "A": "50", "B": "52", "C": "54", "D": "56" },
      "correct_answer": "B"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📦 6 pumps fill in 10 hours. After 3 hours, 2 pumps fail. Total time?",
      "options": {
        "A": "12",
        "B": "13",
        "C": "13.5",
        "D": "14"
      },
      "correct_answer": "C"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "💰 Incomes ratio 5:3, expenses ratio 9:5. Savings equal. If A’s income ₹5000, B’s expenses?",
      "options": {
        "A": "₹2300",
        "B": "₹2400",
        "C": "₹2500",
        "D": "₹2600"
      },
      "correct_answer": "C"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "⛽ Car uses 15 L/100 km at 60 km/h. At 80 km/h, consumption 20% more. Fuel for 400 km at 80 km/h?",
      "options": { "A": "70 L", "B": "72 L", "C": "75 L", "D": "78 L" },
      "correct_answer": "B"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "📊 If (3x - y) : (x + 2y) = 4 : 5, find x : y.",
      "options": {
        "A": "13 : 11",
        "B": "14 : 11",
        "C": "15 : 11",
        "D": "16 : 11"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "🚗 Two trains length 200 m, 300 m, speeds 54 km/h, 72 km/h. Time to pass each other moving opposite?",
      "options": {
        "A": "14.29 sec",
        "B": "15 sec",
        "C": "16 sec",
        "D": "17 sec"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🏗️ A+B do 2/3 work in 12 days. B alone 30 days. A alone days?",
      "options": {
        "A": "40",
        "B": "42",
        "C": "45",
        "D": "48"
      },
      "correct_answer": "C"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📐 Mean proportion between 4 and 9 is?",
      "options": { "A": "5", "B": "5.5", "C": "6", "D": "6.5" },
      "correct_answer": "C"
    }
  ]
}