Question : The marked price of the computer is Rs. 80000. It is sold for Rs. 65280 after two successive discounts. If one of the discounts is 15 percent, then what is the value of the other discount?
Option 1: 7 percent
Option 2: 5 percent
Option 3: 6 percent
Option 4: 4 percent
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Correct Answer: 4 percent
Solution :
Given,
Marked price of the computer = Rs. 80,000,
Selling price after two discounts = Rs. 65,280,
First discount = 15%
Let the second discount be $x$%.
⇒ Selling price after the first discount = Marked price – $\frac{15}{100} ×$ Marked price
⇒ Selling price after the first discount = 80,000 – $\frac{15}{100} ×$ 80,000 = 80000 – 12000 = Rs. 68000
⇒ Selling price after the second discount = Selling price after the first discount – $\frac{x}{100} ×$ Selling price after the first discount
⇒ Selling price after the second discount = 68000 – $\frac{x}{100}×$ 68000 = Rs. 65,280
According to the question,
$68000 -\frac{x}{100} × 68000 = 65280$
⇒ $\frac{x}{100} × 68000 = 68000 - 65280$
⇒ $x × 680 = 2720$
⇒ $x= 4$%
Hence, the correct answer is 4 percent.
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