Question

A person incurs a loss of $5\%$ be selling a watch for $Rs.1140$. At what price should the watch be sold to earn $5\%$ profit ?

• A. Rs.$1200$
• B. Rs.$1230$
• C. Rs.$1260$
• D. Rs.$1290$

Answer 1

The correct option is C Rs.$1260$

Formulas required for this sum:

$Costprice(C.P)=\frac{100}{100-Loss\%}\times Sellingprice$

$Sellingprice(S.P)=\frac{100+Profit\%}{100\%}\times Costprice$

$Loss\%=5\%$

$S.P=Rs1140$

$C.P=\frac{100}{100-5}\times 1140$

$C.P=\frac{100}{95}\times 1140$

$C.P=1200$

We found that the $CostpriceisRs1200$

$Profit\%=5\%$

$S.P=\frac{100+5}{100}\times 1200$

$S.P=\frac{105}{100}\times 1200$

$S.P=Rs1260$