### Question 4

SSC-CGL 2020 Mar 4 Shift 1

A seller gives a discount of 18% on MRP. By how much percentage above CP, should he mark up so as to gain 6.6% profit on the cost price?

### Solution in Detail

Let $\displaystyle CP = 100$

Profit is given as $\displaystyle 6.6\%$

$\displaystyle \therefore SP = 100 + 6.6\% = 106.6$

Let marked price = $\displaystyle x$

SP is $\displaystyle 18\%$ less than the marked price

$\displaystyle \therefore 106.6 = x - 18\% = 0.82x$

$\displaystyle \implies x = 130$, which is CP + $\displaystyle 30\%$

$\displaystyle \therefore 30\%\:\underline {Ans}$

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