Question : A shop provides a flat 50% discount on one shirt, while another provides two successive discounts of 30% and 30%. If the difference in the bill is Rs. 43, find the price of the shirt.
Option 1: Rs. 3,580
Option 2: Rs. 3,850
Option 3: Rs. 3,260
Option 4: Rs. 4,300
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Correct Answer: Rs. 4,300
Solution :
Assume the price is Rs. 100.
After a flat 50% discount, the selling price is (100 – 50) = Rs. 50
After two successive discounts of 30% and 30%, the selling price $=\frac{100 × 70 × 70}{100 × 100} = 49$
So, the difference is Re. 1 when the price is Rs. 100.
Here, the given difference is Rs. 43.
So, the price of the shirt is (43 × 100) = Rs. 4,300
Hence, the correct answer is Rs. 4,300.
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