Charging 30 % above its production cost a radio maker puts a label of Rs., 286 on a ratio as its pri

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7.Profit and Loss

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Charging $30 \%$ above its production cost a radio maker puts a label of $Rs.\, 286$ on a ratio as its price. But at the time of selling it, he allows $10 \%$ discount on the labeled price. What will his gain be? (in $Rs.$)

A

$198$

B

$37.40$

C

$257.40$

D

$254.40$

Solution

$MP.$ $=₹ 286$

Discounted amount $=10 \%(286)=28.6$

$S.P.$ $=286-28.6=257.4$ ₹

Let $C.P.$ $=x$

Mark$-$up $\%=30 \%$

$\Rightarrow \frac{286-x}{x} \times 100=30$

$13 x=2860 \Rightarrow x=220$

Profit $=\operatorname{S.P.}- C.P.$

$=257.4-220=Rs.37.4$

Standard 13

Quantitative Aptitude

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