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The marked price of an article is ₹16,000. A shopkeeper offered two successive discounts of 10% and 5%, respectively, to a customer. At what price did
Question

The marked price of an article is ₹16,000. A shopkeeper offered two successive discounts of 10% and 5%, respectively, to a customer. At what price did the customer buy that item?

A.

₹11,680

B.

₹13,680

C.

₹12,680

D.

₹14,680

Correct option is B

Given:

Marked price of the article = ₹16,000

First discount = 10%

Second discount = 5%

Formula Used:

Price after discounts = Marked price×(1First discount100)×(1Second discount100)\text{Marked price} \times \left(1 - \frac{\text{First discount}}{100}\right) \times \left(1 - \frac{\text{Second discount}}{100}\right)​​

Solution:

Using the formula:

Price after  discounts = 16,000×(110100)×(15100)16,000 \times \left(1 - \frac{10}{100}\right)\times \left(1 - \frac{5}{100}\right)​​

=16,000×90100×95100= 16,000 \times \frac{90}{100}\times \frac{95}{100}​​

= ₹13,680​

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