Mark ( ) against the correct answer in the following: On selling … - Vidyadip

MCQ

Mark $(\checkmark)$ against the correct answer in the following:
On selling an article for $Rs. 144$ a man loses $10\%$. At what price should he sell it to gain $10\%?$

A
$Rs. 158.40$
B
$Rs. 158.40$
✓
$Rs. 176$
D
$Rs. 192$

✓

Answer

Correct option: C.

$Rs. 176$

SP of an article $= Rs. 144$
Loss$\% = 10\%$
$\therefore\text{C.P.}=\frac{\text{S.P}\times100}{100-\text{loss%}}$
$=\frac{144\times100}{100-10}$
$=\frac{144\times100}{90}$
$=\text{Rs. }160$
Gain = 10%
$\text{SP}=\frac{\text{C.P}\times(100+\text{gain%})}{100}$
$=\frac{160(1400+10)}{100}$
$=\text{Rs. }\frac{160\times110}{100}$
$=\text{Rs. }176$

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