Profit and Loss
- A dealer marks his goods 20% above cost price and allows a discount of 10% to his customers. His gain percentage is
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Let the C.P. of article be Rs. 100.
∴ Marked price = Rs. 120
According to the question,After a discount of 10% S.P. = 120 × 90 = Rs. 108 100
∴ Profit = 108 – 100 = Rs. 8
Correct Option: A
Let the C.P. of article be Rs. 100.
∴ Marked price = Rs. 120
According to the question,After a discount of 10% S.P. = 120 × 90 = Rs. 108 100
∴ Profit = 108 – 100 = Rs. 8∴ Profit percent = 8 × 100 = 8% 100
- An article which is marked at Rs. 975 is sold for Rs. 897. The discount percent is
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Let Discount percent = y%
According to the question ,975 × y = 975 - 897 100 ⇒ 975y = 78 100
Correct Option: D
Let Discount percent = y%
According to the question ,975 × y = 975 - 897 100 ⇒ 975y = 78 100 ⇒ y = 78 × 100 = 8% 975
Hence , required discount % is 8% .
- The printed price of an article is 40% higher than its cost price. Then the rate of discount such that he gains 12% profit is
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Suppose C.P of article = Rs. 100
∴ Marked price = Rs. 140
At 12% gain, S.P. = Rs. 112
∴ Discount = Marked price - S.P. of article
∴ Discount = 140 – 112 = Rs. 28
If the rate of discount be y%, then
140 × y% = 28⇒ 140 × y = 28 100
Correct Option: D
Suppose C.P of article = Rs. 100
∴ Marked price = Rs. 140
At 12% gain, S.P. = Rs. 112
∴ Discount = Marked price - S.P. of article
∴ Discount = 140 – 112 = Rs. 28
If the rate of discount be y%, then
140 × y% = 28⇒ 140 × y = 28 100 ⇒ y = 28 × 100 = 20% 140
- A shopkeeper bought 30 kg of rice at the rate of Rs. 70 per kg and 20 kg of rice at the rate of Rs. 70.75 per kg. If he mixed the two brands of rice and sold the mixture at Rs. 80.50 per kg, his gain is
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As per the given in question ,
C.P. of 50 kg of rice = Rs. (30 × 70 + 20 × 70.75)
C.P. of 50 kg of rice = Rs. (2100 + 1415) = Rs. 3515
S.P. of 50 kg. of rice = Rs. (50 × 80.50) = Rs. 4025
∴ Profit = S.P. of 50 kg. of rice - C.P. of 50 kg. of riceCorrect Option: B
As per the given in question ,
C.P. of 50 kg of rice = Rs. (30 × 70 + 20 × 70.75)
C.P. of 50 kg of rice = Rs. (2100 + 1415) = Rs. 3515
S.P. of 50 kg. of rice = Rs. (50 × 80.50) = Rs. 4025
∴ Profit = S.P. of 50 kg. of rice - C.P. of 50 kg. of rice
Profit = Rs. (4025 – 3515) = Rs. 510
- If the cost price of an item is (5 / 9) of its marked price and the profit is 20%, then the percentage of discount is
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Let Marked price of article = Rs. p
∴ C.P. of article = Rs. 5p 9
If the rate of discount be q %, then
From the question ,∴ p × (100 – q)% = 120 % of 5p 9 ⇒ 100 – q = 5 × 120 9
Correct Option: C
Let Marked price of article = Rs. p
∴ C.P. of article = Rs. 5p 9
If the rate of discount be q %, then
From the question ,∴ p × (100 – q)% = 120 % of 5p 9 ⇒ 100 – q = 5 × 120 9
⇒ 300 – 3q = 200
⇒ 3q = 300 – 200 = 100⇒ q = 100 = 33 1 % 3 3
