## Discount

#### Discount

1. A merchant has announced 25% rebate on prices of ready made garments at the time of sale. If a purchaser needs to have a rebate of ₹ 400, then how many shirts, each costing ₹ 320, should he purchase?
1. 10
2. 7
3. 6
4. 5

1. ∵ Marked price of a shirt = ₹ 320
Discount on a shirt = 320 x 25/100 = ₹ 80

##### Correct Option: D

∵ Marked price of a shirt = ₹ 320
Discount on a shirt = 320 x 25/100 = ₹ 80

∴ Number of shirts has to be purchased to get a rebate of ₹ 400 = 400/80 = 5

1. The difference between a discount of 40% on ₹ 500 and two successive discounts of 36% and 4% on the same amount is?
1. ₹ 0
2. ₹ 2
3. ₹ 1.93
4. ₹ 7.20

1. ∵ Single discount equivalent to 36% and 4%
= 36 + 4 - {(36 x 4)/100} = 38.56

##### Correct Option: D

∵ Single discount equivalent to 36% and 4%
= 36 + 4 - {(36 x 4)/100} = 38.56

∴ Required difference
= {(40 - 38.56) x 500}/100 = 1.44 x 5 = ₹ 7.20

1. A merchant marked the price on his goods 20% more than its cost price and allows a discount of 15%. His gain percent is
1. 1%
2. 2%
3. 10%
4. 15%

1. Here, r = 20% and r1 = 15%
Required profit per cent =[ r(100 - r1)/100] - r1
= [20(100 - 15)/100] - 15

##### Correct Option: B

Here, r = 20% and r1 = 15%
Required profit per cent =[ r(100 - r1)/100] - r1
= [20(100 - 15)/100] - 15
= 17 - 15
= 2%

1. Rita bought a television set with 20% discount on the labelled price. She made a profit of ₹ 800 by selling it for ₹ 16800. The labelled price of the set was
1. ₹ 10000
2. ₹ 20000
3. ₹ 20800
4. ₹ 24000

1. Let labelled price of TV = ₹ R
∴ SP of the TV = [R x (100 - 20)] / 100

##### Correct Option: B

Let labelled price of TV = ₹ R
∴ SP of the TV = [R x (100 - 20)] / 100 = ₹ 4R/5
But 16800 - 800 = 4R/5
∴ x = (16000 x 5)/4 = ₹ 20000

1. The marked price of an article is ₹ 500. It is sold on two successive discounts of 20% and 10%. The selling price of that article is
1. ₹ 350
2. ₹ 375
3. ₹ 360
4. ₹ 400

1. ∵ Marked price of an article = ₹ 500
The selling price of article after discount 20% and 10%
= 500 x {(100 - 20) / 100} x {(100 - 10) / 100}

##### Correct Option: C

∵ Marked price of an article = ₹ 500
The selling price of article after discount 20% and 10%
= 500 x {(100 - 20) / 100} x {(100 - 10) / 100}
= 500 x (80/100) x (90/100)
= ₹ 360