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1. 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%

Solution:

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{782 x}{100}

= 39.1
782x = 3910
x = 5%
Second Discount = 5%

Short-Cut
920 == 15%(1^st discount)) == 782 == x%↓(2^nd discount) ⇒ 742.90
Then,

\begin{aligned} x % = \frac{(782 - 742.90) \times 100}{742.90} \\ = \frac{39.1 \times 100}{742.90} \\ = 5 % \end{aligned}

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