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
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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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Question : A man bought a watch at a 10% discount. If he had bought it at a 20% discount, he would have gotten the watch for Rs. 125 less. The marked price of the watch is:
Option 1: Rs. 2,500
Option 2: Rs. 1,250
Option 3: Rs. 3,750
Option 4: Rs. 1,000
Question : A fan is listed at Rs. 150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to Rs. 108?
Option 1: $11\frac{1}{9}$%
Option 2: $15$%
Option 3: $8$%
Option 4: $\text{None of these}$
Question : While selling a shirt, a shopkeeper gives a discount of 7%. If he gives a discount of 9%, he earns Rs. 15 less in profit. The marked price of the shirt is:
Option 1: Rs. 712
Option 2: Rs. 787
Option 3: Rs. 750
Option 4: Rs. 697
Question : Rahim bought a TV at 20% discount on the list price. Had he bought it on a 25% discount, he would have saved Rs. 500. At what price did he buy the TV?
Option 1: Rs. 16,000
Option 2: Rs. 12,000
Option 3: Rs. 10,000
Option 4: Rs. 8,000
Question : While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The Marked price of the watch is:
Option 1: Rs. 697.50
Option 2: Rs. 712.50
Option 4: None of these
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