Question : The marked price of a watch is Rs. 1600. The shopkeeper gives successive discounts of 10% and $x$% to the customer. If the customer pays Rs. 1224 for the watch, the value of $x$ is:
Option 1: 5%
Option 2: 10%
Option 3: 15%
Option 4: 20%
Correct Answer: 15%
Solution :
The first discount of 10% on Rs. 1600.
Discount = 10% of Rs. 1600 = $\frac{10}{100}$ × 1600 = Rs. 160
Price of watch after 1st discount = Rs. 1600 – Rs. 160 = Rs. 1440
As the customer pays Rs. 1224 after the second discount, the second discount amounts = Rs. 1440 – Rs. 1224 = Rs. 216
$\therefore$ The second discount percentage $=\frac{216}{1440}× 100 = 15\%$
Hence, the correct answer is 15%.
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