Discount
- 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 ?
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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%,, r1 = 12%, r = ?Gain % = r × (100 − r1) − r1 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%,, r1 = 12%, r = ?Gain % = r × (100 − r1) − r1 100 32 = r × (100 − 12) − 12 100 44 = r × 88 100
r = 50%
- 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?
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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
- 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
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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
- 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
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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
- A cycle dealer offers a discount of 10 % and still makes a profit of 26 %. What does he pay for a cycle whose marked price is ₹ 840 ?
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Let C.P. of cycle = Rs. p
∴ 840 × 90 = p × 126 100 100
2nd method to solve this question.
Here, r = 26%, D = 10%, M.P. = ₹ 840M.P. = 100 + r C.P. 100 − D
Correct Option: A
Let C.P. of cycle = Rs. p
∴ 840 × 90 = p × 126 100 100
⇒ p × 126 = 840 × 90⇒ p = 840 × 90 = ₹ 600 126
2nd method to solve this question.
Here, r = 26%, D = 10%, M.P. = ₹ 840M.P. = 100 + r C.P. 100 − D 840 = 100 + 26 M.P. 100 − 10 C.P. = 840 × 90 = Rs. 600 126
