Question : The marked price of trousers and a jacket is in the ratio of 1 : 3. The shopkeeper gives 20 percent discount on the trousers. If the total discount offered on both of them together is 30 percent, then what is the discount percentage offered on the jacket?
Option 1: 28.56 percent
Option 2: 41.25 percent
Option 3: 33.33 percent
Option 4: 16.66 percent
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Correct Answer: 33.33 percent
Solution :
Given: The ratio of trousers and jackets is 1 : 3.
Let the marked price of trousers be Rs. 100 and the Jacket be Rs. 300.
Total marked price = 100 + 300 = Rs. 400
Discount on trouser = 20% = $\frac{20}{100}×100$ = Rs. 20
Overall discount = 30% of 400
= $\frac{30}{100}×400$ = 120
Discount on jacket = overall discount – discount on trousers = 120 – 20 = 100
Required discount % on jacket
= $\frac{\text{Discount on jacket}}{\text{Marked price of jacket}}×100$
= $\frac{100}{300}×100$
= $33.33\%$
Hence, the correct answer is 33.33 percent.
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