### Question 17

SSC-CGL 2020 Mar 3 Shift 1

An item marked at Rs. 350 is sold at a discount of 28%. What is the cost price if the profit is 12%?

### Solution in Brief

Discount is $\displaystyle 28\% \text{ of } 350 = 98$ Rs.

$\displaystyle \therefore $ SP $\displaystyle = 350 - 98 = 252$ Rs.

Profit is given as $\displaystyle 12\%$

Use CP = [100/(100 + %Profit)] x SP$ \begin{aligned} \therefore \text{CP} = \frac{100}{112} \times 252 = 225 \text{Rs. }\:\underline{Ans} \end{aligned} $

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