Question : A Rs. 750 tin of cheese is offered at an 8% discount and a Rs. 1,250 tin of butter is offered at a 20% discount. If we buy 5 tins of cheese and 3 tins of butter, what's the effective discount we get (in %)?
Option 1: 12
Option 2: 15
Option 3: 14
Option 4: 16
Correct Answer: 14
Solution :
Marked price of a tin of cheese = Rs. 750
Discount = 8% of marked price = 8% of Rs. 750 = Rs. 60
Selling price of a tin of cheese = Rs. 750 – Rs. 60 = Rs. 690
The marked price of a tin of butter = Rs. 1,250
Discount = 20% of marked price = 20% of Rs. 1250 = Rs. 250
Selling price of a tin of butter = Rs. 1250 – Rs. 250 = Rs. 1,000
The marked price of 5 tins of cheese and 3 tins of butter = 5 × Rs. 750 + 3 × Rs. 1250 = Rs. 3750 + Rs. 3750 = Rs. 7,500
The selling price of 5 tins of cheese and 3 tins of butter = 5 × Rs. 690 + 3 × Rs. 1000 = Rs. 3450 + Rs. 3000 = Rs. 6,450
Discount = marked price – selling price = Rs. 7500 – Rs. 6450 = Rs. 1,050
Discount (in %) = Discount % = $\frac{\text{Effective discount}}{\text{Actual marked price}}$×100 = $\frac{1050×100}{7500}$ = 14%
Hence, the correct answer is 14%.
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