Discount
- The marked price of an article is 10 % higher than the cost price. A discount of 10 % is given on the marked price. In this kind of sale, the seller bears.
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Let C.P. of article = ₹ 100
Marked price = ₹ 110S.P. = 110 × 90 = ₹ 99 100
2nd method to solve this question.
Here, r = 10%, r1 = 10%Gain or Loss %= r ×(100 − r1) − r1 100
Correct Option: D
Let C.P. of article = ₹ 100
Marked price = ₹ 110S.P. = 110 × 90 = ₹ 99 100
Loss = 100 – 99 = ₹ 1 = 1%
2nd method to solve this question.
Here, r = 10%, r1 = 10%Gain or Loss %= r ×(100 − r1) − r1 100 Gain or Loss % = 10 × (100 − 10) − 10 100
Gain or Loss % = 9 – 10 = –1 (–ve sign shows loss)
⇒ Loss = 1%
- A dealer of scientific instruments allows 20% discount on the marked price of the instruments and still makes a profit of 25%. If his gain over the sale of an instrument is ₹ 150, find the marked price of the instrument.
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Let Marked price of instrument = Rs. p
∴ Its S.P. = Rs. 80p 100 S.P. = Rs. 4p 5 ∴ C.P.= Rs. 
4p − 150 
5 ∴ 4p = 4p − 150 × 125 5 5 100 ⇒ 4p = 4p − 150 × 5 5 5 4 ⇒ 4p × 4 = 4p − 150 5 5 5 ⇒ 4p − 16p = 150 5 25
Correct Option: D
Let Marked price of instrument = Rs. p
∴ Its S.P. = Rs. 80p 100 S.P. = Rs. 4p 5 ∴ C.P.= Rs. 4p − 150 5 ∴ 4p = 4p − 150 × 125 5 5 100 ⇒ 4p = 4p − 150 × 5 5 5 4 ⇒ 4p × 4 = 4p − 150 5 5 5 ⇒ 4p − 16p = 150 5 25 ⇒ 20p − 16x = 150 25 ⇒ 4p = 150 ⇒ 4p = 150 × 25 25 ⇒ p = 150 × 25 = Rs. 937.5 4
- If a person marks a product 25% above the cost price but allows 10% discount, then the percentage of profit is
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As we know the formula for profit %
Profit percent = q + r + qr % 100
2nd method to solve this question.
Here = r = 25%, r1 = 10%⇒ Gain % = r ×(100 − r1) − r1 100
Correct Option: D
As we know the formula for profit %
Profit percent = q + r + qr % 100 = 25 − 10 − 25 × 10 % 100
= (15 – 2.5)% = 12.5 %
2nd method to solve this question.
Here = r = 25%, r1 = 10%⇒ Gain % = r ×(100 − r1) − r1 100 Gain % = 25 × (100 − 10) − 10 100 Gain % = 25 × 90 − 10 100
Required Gain % = 22.5 – 10 = 12.5%
- A tradesman marks his goods at 20 % above the cost price. He allows his customers a discount of 8% on the marked price. Then his profit % is
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Let the C.P. of article be Rs. 100,
According to the questions
Marked price of article = Rs. 120
After a discount of 8%,S.P. = 120 × 92 100
= Rs. 110.4 Gain
= Rs. (110.4 – 100) = Rs. 10.4
∴ Gain % = 10.4%
2nd method to solve this question.
Here, r = 20%, r1 = 8%⇒ Gain % = r × (100 − r1) − r1 100
Correct Option: A
Let the C.P. of article be Rs. 100,
According to the questions
Marked price of article = Rs. 120
After a discount of 8%,S.P. = 120 × 92 100
= Rs. 110.4 Gain
= Rs. (110.4 – 100) = Rs. 10.4
∴ Gain % = 10.4%
2nd method to solve this question.
Here, r = 20%, r1 = 8%⇒ Gain % = r × (100 − r1) − r1 100 Gain % = 20 × (100 − 8) − 8 100 Gain % = 20 × 92 − 8 100
Required Gain % = 18.4 – 8 = 10.4%
- A shopkeeper allows a discount of 10% on the marked price of a camera. Marked price of the camera, which costs him ₹ 600, to make a profit of 20% should be
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Let the marked price of the camera be Rs. m.
According to the question,m × 90 = 600 × 120 100 100
2nd method to solve this question.
Here, r = 20%
D = 10%
C.P. = Rs. 600
M.P. = ?M.P. = 100 + r C.P. 100 − D
Correct Option: D
Let the marked price of the camera be Rs. m.
According to the question,m × 90 = 600 × 120 100 100
⇒ m × 90 = 600 × 120⇒ m = 600 × 120 = Rs. 800 90
2nd method to solve this question.
Here, r = 20%
D = 10%
C.P. = Rs. 600
M.P. = ?M.P. = 100 + r C.P. 100 − D M.P. = 100 + 20 600 100 − 10 M.P. = 120 × 600 = 800 90
