Discount
 The Banker’s discount on a bill due 6 months hence at 16% per annum is ₹ 216. The true
discount is :

 ₹ 212
 ₹ 180
 ₹ 210
 ₹ 200

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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
 A fan is listed at ₹ 1,400 and the discount offered is 10%. What additional discount must be given to bring the net selling price to ₹ 1,200 ?


16 2 % 3  5%

4 16 % 21  6%


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Marked price of the fan = ₹ 1400
SP after allowing a discount of 10% = 90% of 1400= 1400 × 90 = ₹ 1260 100
Second discount = ₹ (1260 – 1200 ) = ₹ 60
Let the second discount be x%.
∴ x% of 1260 = 60⇒ x = 60 × 100 = 100 = 4 16 % 1260 21 21 Correct Option: C
Marked price of the fan = ₹ 1400
SP after allowing a discount of 10% = 90% of 1400= 1400 × 90 = ₹ 1260 100
Second discount = ₹ (1260 – 1200 ) = ₹ 60
Let the second discount be x%.
∴ x% of 1260 = 60⇒ x = 60 × 100 = 100 = 4 16 % 1260 21 21
 Ramesh bought 10 cycles for ₹ 500 each. He spent ₹ 2,000 on the repair of all cycles. He sold five of them for ₹ 750 each and the remaining for ₹ 550 each. Then the total gain or loss % is


Gain of 8 1 % 3 
Loss of 8 1 % 3 
Gain of 7 2 % 3 
Loss of 7 1 % 7


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Total actual C.P.
= ₹ (500 × 10 + 2000) = ₹ 7000
Total S.P.
= ₹ (5 × 750 + 5× 550)
= ₹ (3750 + 2750) = ₹ 6500
Loss = 7000 – 6500 = ₹ 500Loss percent = 500 × 100 = 50 = 7 1 % 7000 7 7 Correct Option: D
Total actual C.P.
= ₹ (500 × 10 + 2000) = ₹ 7000
Total S.P.
= ₹ (5 × 750 + 5× 550)
= ₹ (3750 + 2750) = ₹ 6500
Loss = 7000 – 6500 = ₹ 500Loss percent = 500 × 100 = 50 = 7 1 % 7000 7 7
 During a monthlong annual sale, a shopkeeper sells his goods at a discount of 50%. But in the last week, he offers an additional discount of 40%. If the original price of a shirt is ₹ x, then the price, (in rupees) during the last week of the sale will be

 90% of x
 70% of x
 30% of x
 10% of x

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Single equivalent discount = 50 + 40 − 50 × 40 % = 70% 100
∴ Required price of shirt = 30% of xCorrect Option: C
Single equivalent discount = 50 + 40 − 50 × 40 % = 70% 100
∴ Required price of shirt = 30% of x
 With a 5 % discount on the cost of sugar, a buyer could purchase 2 kg more sugar for ₹ 608. Selling price of sugar is :

 ₹ 15.50
 ₹ 15
 ₹ 16.50
 ₹ 16

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Let the original S.P. of sugar be x per kg.
S.P. after discount = ₹ 95x per kg 100 = ₹ 19x per kg 20 ∴ 608 − 608 = 2 19x/20 x ⇒ 608 20 − 1 = 2 19x x
Let the original S.P. of sugar be x per kg.⇒ 608 = 2 ⇒ x = 608 = ₹ 16 19x 19 × 2 S.P. after discount = ₹ 95x per kg 100 = ₹ 19x per kg 20 ∴ 608 − 608 = 2 19x/20 x ⇒ 608 20 − 1 = 2 19x x ⇒ 608 = 2 ⇒ x = 608 = ₹ 16 19x 19 × 2 Correct Option: D
Let the original S.P. of sugar be x per kg.
S.P. after discount = ₹ 95x per kg 100 = ₹ 19x per kg 20 ∴ 608 − 608 = 2 19x/20 x ⇒ 608 20 − 1 = 2 19x x ⇒ 608 = 2 ⇒ x = 608 = ₹ 16 19x 19 × 2