Discount
- The Banker’s discount on a bill due 6 months hence at 16% per annum is ₹ 216. The true
discount is :
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True discount = Banker’s discount × 100 100 + Rate × Time = 216 × 100 100 + 16 × 6 12 = 216 × 100 = ₹ 200 108 Correct Option: D
True discount = Banker’s discount × 100 100 + Rate × Time = 216 × 100 100 + 16 × 6 12 = 216 × 100 = ₹ 200 108
- The cost of manufacture of a tape recorder is ₹ 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is
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Marked price of tape recorder = 1500 × 120 = ₹ 1800 100 Gain = 1500 × 8 = ₹ 120 100
Discount = 1800 – (1500 + 120) = ₹ 180
Let Discount percent = d%, then1800 × d = 180 ⇒ d = 10% 100
Second Method to solve this question :
If the discount be y%, then20 − y − 20y = 8 100 ⇒ 20 − 6y = 8 5
Correct Option: D
Marked price of tape recorder = 1500 × 120 = ₹ 1800 100 Gain = 1500 × 8 = ₹ 120 100
Discount = 1800 – (1500 + 120) = ₹ 180
Let Discount percent = d%, then1800 × d = 180 ⇒ d = 10% 100
Second Method to solve this question :
If the discount be y%, then20 − y − 20y = 8 100 ⇒ 20 − 6y = 8 5 ⇒ 6y = 20 − 8 = 12 5 ⇒ y = 12 × 5 = 10% 6
- The difference between a discount of 30% on ₹ 2,000 and two successive discounts of 25% and 5% on the same amount is
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Discount = 30 × 2000 = ₹ 600 100
Single equivalent discount for discounts of 25% and 5%.= 
25 + 5 − 25 × 5 
% 100 Correct Option: C
Discount = 30 × 2000 = ₹ 600 100
Single equivalent discount for discounts of 25% and 5%.= 25 + 5 − 25 × 5 % 100
= (30 – 1.25)% = 28.75%∴ Discount = 28.75 × 2000 = ₹ 575 100
∴ Difference = ₹ (600 − 575) = ₹ 25
- A shopkeeper marks the prices of his goods at 25% higher than the original price. After that, he allows a discount of 12% discount. What profit or loss did he get ?
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By question, Profit per cent or loss per cent.
= + 25 − 12 − 25 × 12 = 10% 100
As the sign is +ve so, there is a profit of 10%.Correct Option: B
By question, Profit per cent or loss per cent.
= + 25 − 12 − 25 × 12 = 10% 100
As the sign is +ve so, there is a profit of 10%.
- A shopkeepers announce the same price of ₹ 700 for a shirt. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount is more of
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According to question, selling price of first shopkeeper.
= 700 × 70 × 94 = ₹ 460.60 100 100
Selling price of second shopkeeper= 700 × 80 × 84 = ₹ 470.40 100 100
Required difference = 470.40 – 460.60 = ₹ 9.80
Correct Option: C
According to question, selling price of first shopkeeper.
= 700 × 70 × 94 = ₹ 460.60 100 100
Selling price of second shopkeeper= 700 × 80 × 84 = ₹ 470.40 100 100
Required difference = 470.40 – 460.60 = ₹ 9.80
