Question

A manufacturer makes a profit of 15% by selling a colour T.V. for Rs. 5,750. If the cost of manufacturing increases by 30 per cent and its selling price is increased by 20 per cent, find the profit per cent made by the manufacturer.

• A. $2\frac{2}{13}$%
• B. $5\frac{2}{13}$%
• C. $6\frac{2}{13}$%
• D. $9\frac{2}{13}$%

Answer 1

The correct option is C $6\frac{2}{13}$%

Given, for first TV
$S.P=Rs5,750$
Profit $=15$ %

Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100$
$=15$ %

$\frac{5,750-C.P.}{C.P.}\times 100=15$

$5,750-C.P.=0.15C.P.$

$1.15C.P.=5,750$

$=>C.P.=Rs5,000$

As per given information, for another TV
$C.P.=\frac{130}{100}\times Rs5,000=Rs6500$

$S.P.=\frac{120}{100}\times Rs5,750=Rs6900$

So, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100$

$=\frac{6900-6500}{6500}\times 100$

$=\frac{400}{6500}\times 100$

$=\frac{400}{65}$

$=\frac{80}{13}$

$=6\frac{2}{13}$ %