### Question 1

SSC-CGL 2020 Mar 5 Shift 1

A man buys an article for Rs. 576 after getting 20% discount. He spends an additional Rs. 224 on it and sells it at 24% profit calculated on MRP. Find his actual profit?

### Solution in detail

Let $\displaystyle MRP = x$

Buys at: $\displaystyle x - 20\%\text{ of } x = 576$

$\displaystyle \therefore x = 576 \times \frac{100}{80} = 720$

He sells at a profit of 24% on MRP

$\displaystyle \therefore$ SP = $\displaystyle 720 \times \frac{124}{100} = 892.80$

Overall CP is $\displaystyle 576 + 224 = 800$

$\displaystyle \therefore $ Profit = SP - CP $\displaystyle = 892.80 - 800 $

$\displaystyle = 92.80 \text{ Rs. }\underline{Ans}$

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