Question : A shopkeeper gives two successive discounts of 7% each on the marked price of Rs. 20,000 of an article. The selling price of the article is:
Option 1: Rs. 12,978
Option 2: Rs. 19,278
Option 3: Rs. 18,927
Option 4: Rs. 17,298
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Correct Answer: Rs. 17,298
Solution :
Marked price = Rs. 20,000
Successive discounts are 7% and 7%.
Selling price = $(100-D_1)\% \text{ of } (100-D_2)\% \text{ of } \text{MP}$, where D
1
and D
2
are discount percentage and MP is the marked price.
So, the selling price = 93% of 93% of Rs. 20,000 = $\frac{93 × 93 × 20000}{100 × 100}$
= 93 × 93 × 2
= Rs. 17,298
Hence, the correct answer is Rs. 17,298.
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