Discount
 What price should a shopkeeper mark on an article costing him ₹ 200 to gain 35% after allowing a discount of 25% ?

 ₹ 270
 ₹ 300
 ₹ 330
 ₹ 360

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Let the marked price be p.
∴ p × 75 = 200 × 135 100 100 ⇒ p = 200 × 135 = ₹ 360 75
2nd method to solve this question.
Here, r = 25%, R = 35%,
C.P. = ₹ 200Marked price = Rs. 200 + 200 × r + R × 100 % 100 − r
Correct Option: D
Let the marked price be p.
∴ p × 75 = 200 × 135 100 100 ⇒ p = 200 × 135 = ₹ 360 75
2nd method to solve this question.
Here, r = 25%, R = 35%,
C.P. = ₹ 200Marked price = Rs. 200 + 200 × r + R × 100 % 100 − r = 200 + 200 × 25 + 35 % × 100 100 − 25 = 200 + 200 × 60 × 100% 75 = 200 + 200 × 20 × 4 100
Hence Marked price = 200 + 160 = ₹ 360
 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


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


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Let the cost price of article = 100
∴ Marked price = ₹ 125SP 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%,r_{1} = 12 1 % = 12.5 % 2
Correct Option: A
Let the cost price of article = 100
∴ Marked price = ₹ 125SP 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%,r_{1} = 12 1 % = 12.5 % 2 Profit % = r × (100 − r_{1}) − r_{1} 100 Profit % = 25 × (100 − 12.5) − 12.5 100 Profit % = 25 × 87.5 − 12.5 100
Profit % = 21.875 – 12.5 = 9.375Required Profit % = 9 3 % 8
 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

 10.5%
 15%
 9%
 8.5%

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Let the C.P. be ₹ 100
∴ Marked price = ₹ 130S.P. = 85% of ₹ 130 = ₹ 85 × 130 = ₹ 110.5 100
∴ Gain percent = 10.5%
2nd method to solve this question.
Here, r = 30%, r_{1} = 15%Profit % = r × (100 − r_{1}) − r_{1} 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%, r_{1} = 15%Profit % = r × (100 − r_{1}) − r_{1} 100 Profit % = 30 × (100 − 15) − 15 100 Profit % = 30 × 85 − 15 100
Required Profit % = 25.5 – 15 = 10.5%
 A shopkeeper marks his sarees at 20% above the cost price and allows the purchaser a discount of 10% for cash buying. What profit percent does he make?

 18%
 12%
 10%
 8%

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As we know that ,
Gain % = a − b − a × b 100 Gain % = 20 − 10 − 20 × 10 100
2nd method to solve this question .
Here, r = 20%, r_{1} = 10%
Correct Option: D
As we know that ,
Gain % = a − b − a × b 100 Gain % = 20 − 10 − 20 × 10 100
2nd method to solve this question .
Here, r = 20%, r_{1} = 10%Profit or loss = r × (100 − r_{1}) − r_{1} 100 Profit or loss = 20 × (100 − 10) − 10 100
Required Profit or loss = 18 – 10 = 8% profit.
 A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash. His net loss is :

 8%
 10%
 16%
 20%

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Let the cost price be p Mark Price
= 1 + 20 p = 1.2p 100 Cash price = 1 − 30 1.2p 100
= 0.7 × 1.2p = 0.84p
Net Loss = p – 0.84p = 0.16p∴ Net loss% = 0.16p × 100 = 16% p
2nd method to solve this question.
Here, r = 20%, r_{1} = 30%Profit or loss = r ×(100 − r_{1}) −r_{1} 100
Correct Option: C
Let the cost price be p Mark Price
= 1 + 20 p = 1.2p 100 Cash price = 1 − 30 1.2p 100
= 0.7 × 1.2p = 0.84p
Net Loss = p – 0.84p = 0.16p∴ Net loss% = 0.16p × 100 = 16% p
2nd method to solve this question.
Here, r = 20%, r_{1} = 30%Profit or loss = r ×(100 − r_{1}) −r_{1} 100 Profit or loss = 20 × (100 − 30) − 30 100
Profit or loss= 14 – 30 = –16%
Required Profit or loss = 16% loss