### An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is:

A. 3% B. 5% C. 8% D. 12% Answer: Option B

### Solution(By Apex Team)

MP = 920 After first discount Marked Price (MP) become, = 920 – 15% of 920 = 782 The Selling Price (SP) = 742.90 Let second discount was x% on 782 782 – x% of 782 = 742.90 $\frac{782x}{100}$= 39.1 782x = 3910 x = 5% Second Discount = 5% Short-Cut 920 == 15%(1st discount)) == 782 == x%↓(2nd discount) ⇒ 742.90 Then, \begin{aligned}x\%&=\frac{(782-742.90)\times100}{742.90}\\ &=\frac{39.1\times100}{742.90}\\ &=5\%\end{aligned}

## Related Questions on Profit and Loss

A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51

A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000

### A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%