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Choose the correct option from the followingQuantity I: Two partners P and Q enter into partnership with ratio 2 : 3. They earn a profit of 20% on total investment out of which Q gets Rs 20,000 as profit earned. Calculate Sum invested by PQuantity II: A product is sold at successive rates of 10% and 15% profit. If cost price of product is Rs 10,000 then what is selling price?1. Quantity I ≥ Quantity II2. Quantity I ≤ Quantity II3. Quantity I < Quantity II4. Quantity I = Quantity II5. Quantity I > Quantity II |
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Answer» Correct Answer - Option 5 : Quantity I > Quantity II Given: P : Q = 2 : 3 Profit = 20% Q earns Rs 20,000 Successive rates = 10%, 15% C.P. = Rs 10,000 Calculation: Quantity I: P : Q = 2 : 3 Profit earned by Q = 20,000 ⇒ Profit by P = 20,000 × 2/3 ⇒ Profit by P = 40000/3 ⇒ 20% of profit = 40000/3 for P ⇒ 0.2 × X = 40000/3 ⇒ X = Rs 66,666.66 Quantity II : Effective rate = 10 + 15 + (10 × 15/100) ⇒ Effective rate = 26.5% ⇒ S.P. = 10,000 + (0.265 × 10000) ⇒ S.P. = Rs 12,650 ∴ Quantity I > Quantity II |
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