An article is listed at 920 Rs. A customer pays 742.90 Rs. for it after getting two successive discounts. If the rate of first discount is 15%, then what would be the rate of second discount :

An article is listed at 920 Rs. A customer pays 742.90 Rs. for it after getting two successive discounts. If the rate of first discount is 15%, then what would be the rate of second discount :
[A]3%
[B]5%
[C]8%
[D]12%

5%
Total discount = (920 – 742.90) = 177.10 Rs.
First discount = 15%
∴ Discount = 15% of 920
= \frac{920\times 15}{100} = 138\ Rs.
Price after this discount = 920 – 138 = 782 Rs.
Remaining Discount = 177.10 – 138 = 39.10 Rs.
Let the second discount be x %.
\therefore \frac{782\times x}{100} = 39.10
=> x = \frac{39.10\times 100}{782} = 5\%
Hence option [B] is correct answer.

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