## Discount

#### Discount

1. The Banker’s discount on a bill due 6 months hence at 16% per annum is ₹ 216. The true
discount is :
1. ₹ 212
2. ₹ 180
3. ₹ 210
4. ₹ 200

1.  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

1. 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 ?
1.  16 2 % 3
2. 5%
3.  4 16 % 21
4. 6%

1. 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

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

1. Total actual C.P.
= ₹ (500 × 10 + 2000) = ₹ 7000
Total S.P.
= ₹ (5 × 750 + 5× 550)
= ₹ (3750 + 2750) = ₹ 6500
Loss = 7000 – 6500 = ₹ 500

 Loss 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 = ₹ 500

 Loss percent = 500 × 100 = 50 = 7 1 % 7000 7 7

1. During a month-long 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
1. 90% of x
2. 70% of x
3. 30% of x
4. 10% of x

1.  Single equivalent discount = 50 + 40 − 50 × 40 % = 70% 100

∴  Required price of shirt = 30% of x

##### Correct Option: C

 Single equivalent discount = 50 + 40 − 50 × 40 % = 70% 100

∴  Required price of shirt = 30% of x

1. With a 5 % discount on the cost of sugar, a buyer could purchase 2 kg more sugar for ₹ 608. Selling price of sugar is :
1. ₹ 15.50
2. ₹ 15
3. ₹ 16.50
4. ₹ 16

1. 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
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

##### 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