1.

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

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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