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**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**

## Show Answer

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

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