Profit and Loss
- At what percent above the cost price, must a shop–keeper marks his goods so that he gains 20% even after giving a discount of 10% on the marked price?
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Let the CP be $ 100. Then,
SP = $ 120.
Let the marked price be y.
Then, 90% of y = 120⇒ y = 120 × 100 = 400 90 3 y = 133 1 % 3
Correct Option: C
Let the CP be $ 100. Then,
SP = $ 120.
Let the marked price be y.
Then, 90% of y = 120⇒ y = 120 × 100 = 400 90 3 y = 133 1 % 3 It means he should mark 133 1 % higher than C.P. 3
- The marked price of an article is 10% higher than cost price. A discount of 10% is given on marked price. In this kind of sale, the seller bears :
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Let the CP of article be 100.
From the question ,
∴ Marked price = $ 110
After 10% discount, SP of article = 90% of $ 110 = $ 99Correct Option: D
Let the CP of article be 100.
From the question ,
∴ Marked price = $ 110
After 10% discount, SP of article = 90% of $ 110 = $ 99
∴ Loss = $ 1 i.e. 1% of loss
- The marked price of an article is 50% above cost price. When marked price is increased by 20% and selling price is increased by 20%, the profit doubles. If original marked price is $ 300, then original selling price is
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Let the original S.P. be y.
C.P. of the article = 300 × 100 = $ 200 150
After corresponding increasesy × 120 - 200 = 2 (y - 200) 100
Correct Option: B
Let the original S.P. be y.
C.P. of the article = 300 × 100 = $ 200 150
After corresponding increasesy × 120 - 200 = 2 (y - 200) 100 ⇒ 6y - 200 = 2y - 400 5
⇒ 6y – 1000 = 10y – 2000
⇒ 4y = 1000 ⇒ y = $ 250
- The cost of manufacture of a tape recorder is $ 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is
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Given that , The cost of manufacture of a tape recorder = $ 1,500
Marked price of tape recorder = 1500 × 120 = $ 1800 100 Gain = 1500 × 8 = $ 120 100
Discount = 1800 – (1500 + 120) = $ 180
Let Discount percent = y%, then1800 × y = 180 100
⇒ y = 10%
Second method to solve this question :
If the discount be d%, then20 – d – 20d = 8 100 ⇒ 20 - 6d = 8 5
Correct Option: D
Given that , The cost of manufacture of a tape recorder = $ 1,500
Marked price of tape recorder = 1500 × 120 = $ 1800 100 Gain = 1500 × 8 = $ 120 100
Discount = 1800 – (1500 + 120) = $ 180
Let Discount percent = y%, then1800 × y = 180 100
⇒ y = 10%
Second method to solve this question :
If the discount be d%, then20 – d – 20d = 8 100 ⇒ 20 - 6d = 8 5 ⇒ 6d = 20 – 8 = 12 5 ⇒ d = 12 × 5 = 10% 6
- 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 $ y .
According to question ,∴ y × 88 = 132 100
Correct Option: A
Let the C.P. be 100 and the marked price be $ y .
According to question ,∴ y × 88 = 132 100 ⇒ y = 132 × 100 = 150 i.e., more by 50% 88
