Discount
 A shopkeeper allows a discount of 12.5 % on the marked price of a certain article and makes a profit of 20 %. If the article costs the shopkeeper ₹ 210, then the marked price of the article will be

 ₹ 387
 ₹ 350
 ₹ 386
 ₹ 288

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Let Marked price of article = ₹ p
∴ p × (100 − 12.5) = 210 × 120 100 100
2nd method to solve this question.
Here,R= 20%, D = 12.5%,
C.P. = ₹ 210, M.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: D
Let Marked price of article = ₹ p
∴ p × (100 − 12.5) = 210 × 120 100 100
⇒ p × 87.5 = 210 ×120⇒ p = 210 × 120 = ₹ 288 87.5
2nd method to solve this question.
Here,R= 20%, D = 12.5%,
C.P. = ₹ 210, M.P. = ?M.P. = 100 + r C.P. 100 − D M.P. = 100 + 20 210 100 − 12.5 M.P. = 120 × 210 87.5
Hence Marked Price = ₹ 288
 The cost price of a table is ₹ 3,200. A merchant wants to make 25 % profit by selling it. At the the time of sale he declares a discount of 20 % on the marked price. The marked price (in ₹) is

 5,000
 6,000
 4,000
 4,500

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Let the marked price of table be ₹ p.
∴ p × 80 = 3200 × 125 100 100
2nd method to solve this question.
Here, r = 25%, D = 20%,
C.P. = ₹ 3200, M.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: A
Let the marked price of table be ₹ p.
∴ p × 80 = 3200 × 125 100 100
⇒ p × 80 = 3200 × 125⇒ p = 3200 × 125 = ₹ 5000 80
2nd method to solve this question.
Here, r = 25%, D = 20%,
C.P. = ₹ 3200, M.P. = ?M.P. = 100 + r C.P. 100 − D M.P. = 100 + 25 3200 100 − 20 M.P. = 125 × 3200 = ₹ 5000 80
 Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt if its marked price is ₹ 850?

 ₹ 650
 ₹ 720
 ₹ 700
 ₹ 680

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Let Cost price of the shirt = ₹ p
∴ p × 120 = 850 × 96 100 100
2nd method to solve this question.
Here r = 20%, D = 4%,
M.P. = ₹ 850, C.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: D
Let Cost price of the shirt = ₹ p
∴ p × 120 = 850 × 96 100 100
⇒ p × 120 = 850 × 96⇒ p = 850 × 96 = ₹ 680 120
2nd method to solve this question.
Here r = 20%, D = 4%,
M.P. = ₹ 850, C.P. = ?M.P. = 100 + r C.P. 100 − D 850 = 100 + 20 C.P. 100 − 4 C.P. = 850 × 96 120
C.P. = ₹ 680
 How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

 50%
 40%
 60%
 45%

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Let the C.P. be ₹ 100 and the marked price be ₹ p.
∴ p × 88 = 132 100
2nd method to solve this question.
Here, Gain % = 32%,, r_{1} = 12%, r = ?Gain % = r × (100 − r_{1}) − r_{1} 100
Correct Option: A
Let the C.P. be ₹ 100 and the marked price be ₹ p.
∴ p × 88 = 132 100 ⇒ p = 132 × 100 88
= 150 i.e., more by 50%
∴ Required percentage = 50%
2nd method to solve this question.
Here, Gain % = 32%,, r_{1} = 12%, r = ?Gain % = r × (100 − r_{1}) − r_{1} 100 32 = r × (100 − 12) − 12 100 44 = r × 88 100
r = 50%
 To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price ?

 9%
 11%
 18%
 20%

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Let the cost price be ₹ 100 and marked price be p.
∴ p × 90 = 108 100 ⇒ 9p = 108 10
2nd method to solve this question.
Here, Gain % = 8%,, r_{1} = 10%, r = ?Gain % = r ×(100 − r_{1}) − r_{1} 100
Correct Option: D
Let the cost price be ₹ 100 and marked price be p.
∴ p × 90 = 108 100 ⇒ 9p = 108 10 ⇒ p = 108 × 10 = 120 9
Required Percent = 20%
2nd method to solve this question.
Here, Gain % = 8%,, r_{1} = 10%, r = ?Gain % = r ×(100 − r_{1}) − r_{1} 100 8 = r × (100 − 10) − 10 100 8 = r × 90 − 10 9 18 = r × 9 = 20% 9