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The marked price of a chair was Rs. 19,200. The shopkeeper was offering it for a discount of 20%, but on further bargaining agreed to offer a successi
Question

The marked price of a chair was Rs. 19,200. The shopkeeper was offering it for a discount of 20%, but on further bargaining agreed to offer a successive discount and finally sold the chair for Rs. 13,824. What was the second discount offered by the shopkeeper?

A.

15%

B.

10%

C.

20%

D.

5%

Correct option is B

Given:
Marked Price (MP) = Rs. 19,200
First Discount = 20%
Selling Price (SP) after successive discounts = Rs. 13,824
Formula Used:
Price after discount=Marked Price×100Discount%100\text{Price after discount} = \text{Marked Price} \times \frac{100 - \text{Discount}\%}{100}​​
Successive discounts are applied one after another.
SP = MP × (1 - d1) × (1 - d2)
Solution:
After first discount of 20%:
Price1 at first discount of 20% = 19200 × (1 - 0.20) = 19200 × 0.80 = 15360
SP after seccond discount = 15360 × (1 - d2
13824 = 15360 × (1 - d2
1 - d2 = 13824 ÷ 15360 = 0.90
d2 = 1 - 0.90
d2= 0.10 = 10%

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