Question : The discounts offered on a shirt of Rs. 500 and a pair of trousers of Rs. 1000 are 20% and 40%, respectively. If Ajay bought 2 shirts and 3 pairs of trousers, what was the effective discount (in %) he received?
Option 1: 30
Option 2: 32
Option 3: 25
Option 4: 35
Correct Answer: 35
Solution :
Marked price of shirt = Rs. 500
The marked price of a pair of trousers = Rs. 1000
Discount offered on a shirt
= 20% of the marked price of a shirt
= 20% of Rs. 500
= Rs. 100
Discount offered on a pair of trousers
= 40% of the marked price of a pair of trousers
= 40% of Rs. 1000
= Rs. 400
Total discount offered on 2 shirts and 3 pairs of trousers
= Rs. (2 × 100 + 3 × 400)
= Rs. 1400
The marked price of 2 shirts and 3 pairs of trousers
= Rs. (2 × 500 + 3 × 1000)
= Rs. 4000
Effective discount (in%)
= $\frac{\text{Total discount offered}×100}{\text{Total marked price}}$
= $\frac{1400×100}{4000}$
= 35%
Hence, the correct answer is 35.
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