Discount
- A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is
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Let the CP of book = ₹ P
Then, SP of book = {(100 + 12) x P}/100 = 112P/100
Now, the printed price = ₹ Q
Then, after discount,
the SP = (100 - 10)Q/100 = 90Q/100
Since, both SP are same.
Then, 112P/100 = 90Q/100Correct Option: A
Let the CP of book = ₹ P
Then, SP of book = {(100 + 12) x P}/100 = 112P/100
Now, the printed price = ₹ Q
Then, after discount,
the SP = (100 - 10)Q/100 = 90Q/100
Since, both SP are same.
Then, 112P/100 = 90Q/100
⇒ P/Q = 45/56
⇒ 45 : 56
- A shopkeeper allows 10% discount on goods when he sells without credit. Cost price of his goods is 80% of his selling price. If he sells his goods by cash, then his profit is
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Let Marked price of article= Rs. p
∴ S.P. of article = 90p 100 = Rs. 9p 10 ∴ C.P. = 80p × 9p = 36p 100 × 10 50 ∴ Gain = 9p − 36p 10 50
Correct Option: C
Let Marked price of article= Rs. p
∴ S.P. of article = 90p 100 = Rs. 9p 10 ∴ C.P. = 80p × 9p = 36p 100 × 10 50 ∴ Gain = 9p − 36p 10 50 Gain = 45p − 36p = Rs. 9p 50 50 ∴ Gain %= 9p/50 × 100 = 25 % 36p/50
- The marked price is 20% higher than cost price. A discount of 20% is given on the marked price. By this type of sale, there is
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Let Cost price = ₹ 100
Marked price = ₹ 120Selling price = 120 × 80 = ₹ 96 100
2nd method to solve this question.
Here, r = 20%, r1 = 20%Loss % = r ×(100 − r1) − r1 100
Correct Option: A
Let Cost price = ₹ 100
Marked price = ₹ 120Selling price = 120 × 80 = ₹ 96 100
∴ Loss = 4 and loss percent = 4%
2nd method to solve this question.
Here, r = 20%, r1 = 20%Loss % = r ×(100 − r1) − r1 100 Loss % = 20 × (100 − 20) − 20 100 Loss % = 20 × 80 − 20 100
Loss % = –4% (–ve sign shows loss)
Required Loss % = 4% loss
- A dealer marks his goods at 25% above the cost price and allows a discount of 10% for cash payment. His profit % is :
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Let Cost price of article = ₹ 100
Marked price = ₹ 125∴ S.P. = 125 × 90 = ₹ 112.5 100
∴ Gain = 112.5 – 100 = 12.5
⇒ Gain percent = 12.5%
2nd method to solve this question.
Here, r = 25%, r1 = 10%Profit % = r ×(100 − r1) − r1 100
Correct Option: C
Let Cost price of article = ₹ 100
Marked price = ₹ 125∴ S.P. = 125 × 90 = ₹ 112.5 100
∴ Gain = 112.5 – 100 = 12.5
⇒ Gain percent = 12.5%
2nd method to solve this question.
Here, r = 25%, r1 = 10%Profit % = r ×(100 − r1) − r1 100 Profit % = 25 × (100 − 10) − 10 100 Profit % = 25 × 90 − 10 100
Required Profit % = 22.5 – 10 = 12.5%
- To gain 8% after allowing a discount of 10%, by what percent cost price should be hiked in the list price ?
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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%,, r1 = 10%, r = ?Gain % = r ×(100 − r1) − r1 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%,, r1 = 10%, r = ?Gain % = r ×(100 − r1) − r1 100 8 = r × (100 − 10) − 10 100 8 = r × 90 − 10 9 18 = r × 9 = 20% 9
