## Discount

#### Discount

1. A shopkeeper lists the price of an article as ₹ 500. But he gives a certain discount which allows the buyer to pay ₹ 500 for the article including 10% sales tax. The rate of discount is
1. 10%
2.  10 1 % 11
3.  9 1 % 11
4. 11%

1. Let the S.P. be x (without tax).

 ∴  x + x × 10 = 500 100

 ⇒ 11x = 500 ⇒ x = ₹ 5000 10 11

 ∴  Discount = 500 − 5000 11

 = 500 11

 Discount per cent = 500 × 100 11 × 500

 = 100 % or 9 1 % 11 11

##### Correct Option: C

Let the S.P. be x (without tax).

 ∴  x + x × 10 = 500 100

 ⇒ 11x = 500 ⇒ x = ₹ 5000 10 11

 ∴  Discount = 500 − 5000 11

 = 500 11

 Discount per cent = 500 × 100 11 × 500

 = 100 % or 9 1 % 11 11

1. The true discount on a sum of money due 2 years hence at 5% is ₹ 15. Find the sum.
1. ₹ 150
2. ₹ 165
3. ₹ 170
4. ₹ 160

1.  True discount= Amount × R × T 100 + (R × T)

 ⇒  15 = A × 5 × 2 100 + 10

⇒  A = 11 × 15 = ₹ 165

##### Correct Option: B

 True discount= Amount × R × T 100 + (R × T)

 ⇒  15 = A × 5 × 2 100 + 10

⇒  A = 11 × 15 = ₹ 165

1. If an electricity bill is paid before due date, one gets a reduction of 4% on the amount of the bill. By paying the bill before due date a person got a reduction of ₹ 13. The amount of his electricity bill was
1. ₹ 125
2. ₹ 225
3. ₹ 325
4. ₹ 425

1. Let the amount of the bill be x.

 ∴ 4x = 13 100

 ⇒  x = 1300 = ₹ 325 4

##### Correct Option: C

Let the amount of the bill be x.

 ∴ 4x = 13 100

 ⇒  x = 1300 = ₹ 325 4

1. A dozen pair of socks quoted at ₹ 80 are available at a discount of 10%. How many pairs of socks can be bought for ₹ 24 ?
1. 4
2. 5
3. 3
4. 6

1. SP of 12 pairs of socks = 90% of 80

 = 80 × 90 = Rs.72 = ₹ 72 100

∴  Number of pairs bought for ₹ 24
 = 12 × 24 = 4 72

##### Correct Option: A

SP of 12 pairs of socks = 90% of 80

 = 80 × 90 = Rs.72 = ₹ 72 100

∴  Number of pairs bought for ₹ 24
 = 12 × 24 = 4 72

1. A retailer purchases a grinder at a discount of 15% and sells it for ₹ 1955 at a profit of 15%. The amount of discount received by the retailer from the wholesaler was
1. ₹ 270
2. ₹ 290
3. ₹ 300
4. ₹ 330

1. Let the marked price of the grinder be ₹ 100
SP after a discount of 15% = ₹ 85

 SP to gain 15% = 85 × 115 = ₹ 97.75 100

If ₹ 97.75 is the SP, the marked price = ₹ 100
∴  If ₹ 1955 is the SP,
 the marked price = 100 = × 1955 = ₹ 2000 97.5

Amount of discount received by the retailer = 15% of 2000
 = 2000 × 15 = ₹ 300 100

##### Correct Option: C

Let the marked price of the grinder be ₹ 100
SP after a discount of 15% = ₹ 85

 SP to gain 15% = 85 × 115 = ₹ 97.75 100

If ₹ 97.75 is the SP, the marked price = ₹ 100
∴  If ₹ 1955 is the SP,
 the marked price = 100 = × 1955 = ₹ 2000 97.5

Amount of discount received by the retailer = 15% of 2000
 = 2000 × 15 = ₹ 300 100