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A book was sold at a profit of 12%. If the C.P. would be 10% less and S.P. would be Rs. 6.75 more, there would be a profit of 30%. Then at what price it should be sold to make a profit of 40%?1. Rs. 1902. Rs. 1893. Rs. 2004. Rs. 195 |
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Answer» Correct Answer - Option 2 : Rs. 189 Given: S.P = 112% of C.P. New C.P. = 90% of C.P. New S.P. = 130% of 90% of C.P. Concept used: S.P. = (100 + Profit)% of C.P. Calculation: Let the C.P. be Rs. x. S.P = 112% of C.P. ⇒ S.P. = 112/100 × x New C.P. = 90% of C.P. ⇒ New C.P. = 90/100 × x New S.P. = 130% of 90% of C.P. ⇒ New S.P. = 130/100 × 90/100 × x ⇒ New S.P. = 117/100 × x According to the question, New S.P. = S.P. + 6.75 ⇒ 117/100 × x = 112/100 × x ⇒ (117/100 × x) – (112/100 × x) = 6.75 ⇒ 5/100 × x = 6.75 ⇒ x = 135 Required S.P. = (100 + 40)% of C.P. ⇒ Required S.P. = 140/100 × 135 ⇒ Required S.P. = 189 ∴ Rs. 189 make profit of 40%. |
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