The marked price of an article is Rs 1 500 If...

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The marked price of an article is Rs. 1,500. If two successive discounts, each of x%, on the marked price is equal to a single discount of Rs. 587.40, then what will be the selling price of the article if a single discount of x% is given on the marked price?

A. Rs. 1,155

B. Rs. 1,200

C. Rs. 1,025

D. Rs. 1,170

Answer: Option D

Solution (By Examveda Team)

Total discount % = $$\frac{{587.40}}{{1500}}$$ × 100 = 39.16%
It's mean discount will be more than 20%
When, we let discount 22% it's satisfied
22 + 22 - $$\frac{{22 \times 22}}{{100}}$$ = 39.16%
So, discount = 22%
Cost price = $$\frac{{1500 \times 78}}{{100}}$$ = 1170

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