Question : A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is:
Option 1: 5.5%
Option 2: 7%
Option 3: 6%
Option 4: 8%
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Correct Answer: 8%
Solution : Given, that a shopkeeper earns 10% on an investment but loses 20% on another investment. Ratio of the two investments = 2 : 3 Let the investments be INR 200 and INR 300 Total investment = INR 500 Amount after 10% profit on INR 200 = 200 + $\frac{10}{100}\times$ 200 = INR 220 Amount after 20% profit on INR 300 = 300 – $\frac{20}{100}\times$ 300 = INR 240 Final amount = 220 + 240 = INR 460 Combined loss = $\frac{\text{Final amount – Total investment}}{\text{Total investment}}$ = $\frac{500-460}{500}\times 100$ = 8% Hence, the correct answer is 8%.
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Question : A, B, and C together start a business. Three times the investment of A equals four times the investment of B and the capital of B is twice that of C. The ratio of the shares in the profit is:
Option 1: 8 : 3 : 6
Option 2: 3 : 8 : 6
Option 3: 3 : 6 : 8
Option 4: 8 : 6 : 3
Question : The radii of two cylinders are in the ratio 3 : 4 and their heights are in the ratio 8 : 5. The ratio of their volumes is equal to:
Option 1: 9 : 10
Option 2: 8 : 9
Option 3: 9 : 11
Option 4: 7 : 10
Question : A, B, and C made certain investments and the ratio of their time periods is 3 : 2 : 7 respectively. The ratio of the profits of A, B, and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B, and C?
Option 1: 1 : 3 : 4
Option 2: 7 : 9 : 11
Option 3: 8 : 9 : 12
Option 4: 2 : 3 : 11
Question : The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7 is:
Option 1: 4
Option 2: 5
Option 3: 14
Option 4: 20
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 7 and 6
Option 1: 4 × 7 + 6 – 3 ÷ 1 = 20
Option 2: 8 × 7 + 5 ÷ 1 – 6 = 17
Option 3: 7 – 6 × 3 + 4 ÷ 1 = 8
Option 4: 7 × 2 – 6 + 4 ÷ 2 = 13
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