Discount
 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

 10%

10 1 % 11 
9 1 % 11  11%

View Hint View Answer Discuss in Forum
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
 The true discount on a sum of money due 2 years hence at 5% is ₹ 15. Find the sum.

 ₹ 150
 ₹ 165
 ₹ 170
 ₹ 160

View Hint View Answer Discuss in Forum
True discount
=Amount × R × T 100 + (R × T) ⇒ 15 = A × 5 × 2 100 + 10
⇒ A = 11 × 15 = ₹ 165Correct Option: B
True discount
=Amount × R × T 100 + (R × T) ⇒ 15 = A × 5 × 2 100 + 10
⇒ A = 11 × 15 = ₹ 165
 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

 ₹ 125
 ₹ 225
 ₹ 325
 ₹ 425

View Hint View Answer Discuss in Forum
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
 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 ?

 4
 5
 3
 6

View Hint View Answer Discuss in Forum
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
 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

 ₹ 270
 ₹ 290
 ₹ 300
 ₹ 330

View Hint View Answer Discuss in Forum
Let the marked price of the grinder be ₹ 100
SP after a discount of 15% = ₹ 85SP 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% = ₹ 85SP 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