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deepshikhasingh15
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G7 Comparing quantities
Math quiz helps us to enhance brains neural network.
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1) An investor splits ₹1,20,000 into two accounts such that one account yields 8% annual interest and the other 10%. If the combined annual interest is ₹10,200, how much was invested at 10%?
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2) An item priced at ₹1500 is first discounted 20%, then the sale price is increased by 10%. Find the final price.
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3) A price is first decreased by 12%, then the new price is increased by 15%. What is the net percentage change?
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4) After a 25% increase, a value becomes ₹315. What was the original amount?
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5) Flour, sugar, and cocoa are mixed in the ratio 5 : 3 : 2 to make 5 kg of mixture. How many grams of sugar are used?
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6) Two numbers are in the ratio 9 : 14. If each is increased by 20, the new ratio becomes 5 : 7. Find the original numbers.
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7) Rina scored 72 marks in a test and failed by 18 marks. If the pass percentage is 45%, find the total marks of the test.
Let total marks = x 45% of x = 72 + 18 = 90 0.45x = 90 ⇒ x = 200
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8) A sum doubles in 10 years under simple interest. What additional time (in years) will it take to become four times as much?
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9) In how many hours will 5 pumps working at rates in the ratio 1 : 2 : 3 : 4 : 5 finish a job that one pump alone (rate = 1 unit/hr) would take 120 h?
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10) Two alloys (copper : tin = 4 : 1 and 3 : 2) are mixed in a 2 : 3 weight ratio. What is the copper : tin ratio in the mixture?
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11) Riya, Sameer, Tanvi, and Om complete one lap in 24 s, 30 s, 40 s, and 54 s respectively. After how many seconds will they all meet at the starting point?
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12) A chemist has solutions A and B containing 10% and 25% acid respectively. How many litres of each must he mix to obtain 40 L of a 16% solution?
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13) A wholesaler gets goods at 10% below list price, marks them 20% above list, and then offers a 10% discount on the marked price. What is his profit percentage?
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14) Ankita has a jar of candies. 40% are chocolates, 60% of the remaining are toffees, and the rest are mints. If there are 30 more toffees than mints, how many candies are chocolates?
A = P(1 + R/100)^T 9261 = P(1.1)^2 = P × 1.21 ⇒ P = 9261 / 1.21 = ₹7650
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15) The selling price of a certain refrigerator is ₹1,475 more than the price the store paid. If the selling price is ₹18,250, then the price the store paid is:
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16) A fund is divided among A, B, and C in the ratio 5 : 7 : 8. A invests 25% of his share, B invests 30%, and C invests 40%. If the total investment is ₹1,310, what was the original fund?
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17) Arjun, Bhavik, and Charu complete one round in 36 s, 45 s, and 60 s respectively. After how many seconds will they all be together again at the starting point?
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18) The present ages of Meera and Nisha are in the ratio 5 : 8. The product of their ages is 1960. Find the difference between their ages (in years).
Let CP = x MP = x + 60% of x = 1.6x SP = 1.6x × 0.75 = 1.2x Profit = 1.2x − x = 0.2x = ₹150 x = 150 / 0.2 = ₹750 (Marked price miscalculated—correcting…) Let CP = x 1.6x × 0.75 = SP = 1.2x 1.2x − x = 0.2x = 150 ⇒ x = ₹750
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19) A shopkeeper marks up 40% on cost but gives 20% off. To still earn 10% profit, what additional flat rebate per item (cost = ₹100) must he offer?
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20) A class has boys and girls in the ratio 7 : 5. If 40% of boys and 50% of girls opt for basketball, and there are 53 students playing basketball, how many girls are there in the class?
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