### Question 16

SSC-CGL 2020 Mar 3 Shift 1

Raj sells an item at Rs. x and incurs a loss of 10%. Had he sold it at a profit of 20%, he would have got Rs. 332 more. What is x?

### Solution

Let CP = 100

Original SP = $\displaystyle 100 - 10\% = 90$

SP @ 20% profit = $\displaystyle 100 + 20\% = 120$

Raj gets $\displaystyle 30$ more if "x" is $\displaystyle 90$

By unitary method,

Raj gets $\displaystyle 332$ more if "x" is $\displaystyle \frac{90}{30} \times 332$

$\displaystyle \therefore x = 996 \text{ Rs.} \:\underline{Ans}$

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