Discount Easy Questions and Answers | Page - 55

Discount

A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is

1. 10.5%
1. 15%
1. 9%
1. 8.5%

View Hint View Answer Discuss in Forum

Let the C.P. be ₹ 100
∴ Marked price = ₹ 130
S.P. = 85% of ₹ 130 = ₹ 85 × 130 = ₹ 110.5
100

∴ Gain percent = 10.5%
2nd method to solve this question.
Here, r = 30%, r₁ = 15%
Profit % = r × (100 − r₁) − r₁
100

Correct Option: A

Let the C.P. be ₹ 100
∴ Marked price = ₹ 130
S.P. = 85% of ₹ 130
= ₹ 85 × 130 = ₹ 110.5
100

∴ Gain percent = 10.5%
2nd method to solve this question.
Here, r = 30%, r₁ = 15%
Profit % = r × (100 − r₁) − r₁
100

Profit % = 30 × (100 − 15) − 15
100

Profit % = 30 × 85 − 15
100

Required Profit % = 25.5 – 15 = 10.5%

A tradesman marks his goods at 25% above its cost price and allows purchasers a discount of
12 1 % for cash payment. The profit, he thus makes, is
2

1. 9 3 %
  8
1. 9 1 %
  2
1. 8 1 %
  2
1. 8 3 %
  8

View Hint View Answer Discuss in Forum

Let the cost price of article = 100
∴ Marked price = ₹ 125
SP of the article = 100 − 25 % of 125
2

SP of the article = 175 % of 125
2

SP of the article = 125 × 175 = 875
2 × 100 8

S.P. = ₹ 109 3
8

∴ Gain percent = 109 3 − 100 = 9 3 %
8 8

2nd method to solve this question.
Here, r = 25%,
r₁ = 12 1 % = 12.5 %
2

Correct Option: A

Let the cost price of article = 100
∴ Marked price = ₹ 125
SP of the article = 100 − 25 % of 125
2

SP of the article = 175 % of 125
2

SP of the article = 125 × 175 = 875
2 × 100 8

S.P. = ₹ 109 3
8

∴ Gain percent = 109 3 − 100 = 9 3 %
8 8

2nd method to solve this question.
Here, r = 25%,
r₁ = 12 1 % = 12.5 %
2

Profit % = r × (100 − r₁) − r₁
100

Profit % = 25 × (100 − 12.5) − 12.5
100

Profit % = 25 × 87.5 − 12.5
100

Profit % = 21.875 – 12.5 = 9.375
Required Profit % = 9 3 %
8