Question : The marked price of a computer is Rs. 14,000. The selling price of the computer is Rs. 9,702. If two successive discounts of 23% and $y$% are given, then what is the value of $y$?
Option 1: 15%
Option 2: 10%
Option 3: 12%
Option 4: 5%
Correct Answer: 10%
Solution :
Given: The marked price of a computer is Rs. 14,000. The selling price of the computer is Rs. 9,702. The two successive discounts of 23% and $y$% are given.
Here marked price (MP) = Rs. 14,000
After the first discount of 23% the selling price (SP) = 14000 × $\frac{100-23}{100}$ = Rs. 10,780
The final SP = Rs. 9702
So, the difference = (10780 – 9702) = Rs. 1078
According to the question,
$y=\frac{1078}{10780}×100$
⇒ $y=10$%
Hence, the correct answer is 10%.
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