Profit and Loss
- A merchant fixes the sale price of his goods at 15% above the cost price. He sells his goods at 12% less than the fixed price. His percentage of profit is :
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Let the cost price be $ 100.
According to question ,
∴ Marked price = $ (100 + 15% of 100) = $ 115
The goods are sold at the discount of 12%.
∴ S.P. = (115 – 12% of 115) = (115 – 13.80) = $ 101.20
Profit = (101.20 – 100) = $ 1.20∴ Profit % = 1.20 × 100 = 1.2% 100
Correct Option: B
Let the cost price be $ 100.
According to question ,
∴ Marked price = $ (100 + 15% of 100) = $ 115
The goods are sold at the discount of 12%.
∴ S.P. = (115 – 12% of 115) = (115 – 13.80) = $ 101.20
Profit = (101.20 – 100) = $ 1.20∴ Profit % = 1.20 × 100 = 1.2% 100 Profit % = 1 2 = 1 1 % 10 5
- The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and the second sellers earned 20% and 25% profit respectively, the profit earned by the third seller is
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Let the C.P. of the jewel be $ 100
S.P. for the first person = $ 120S.P. for the second person = $ 120 × 125 = $ 150 100
Now, let the profit earned by the third person be y%
∴ 150 of ( 100 + y )% = 165∴ 150 × 100 + y = 165 100
Correct Option: C
Let the C.P. of the jewel be $ 100
S.P. for the first person = $ 120S.P. for the second person = $ 120 × 125 = $ 150 100
Now, let the profit earned by the third person be y%
∴ 150 of ( 100 + y )% = 165∴ 150 × 100 + y = 165 100 ⇒ 100 + y = 165 × 10 = 110 15
⇒ y = 110 – 100 = 10%
- If selling price of an article is (8 / 5) times its cost price, the profit percent on it is :
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Let the C.P. be y
∴ S.P. = 8 y 5 ∴ Gain = 8y - 5y = 3y 5 5
Correct Option: D
Let the C.P. be y
∴ S.P. = 8 y 5 ∴ Gain = 8y - 5y = 3y 5 5 Now, Gain % = (3y / 5) × 100 y Gain % = 3 × 100 = 60% 5
- By selling a table for $ 350 instead of $ 400, loss percent increases by 5%. The cost price of table is :
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Let the C.P. of table be y
According to the question ,∴ 
y - 350 - y - 400 
× 100 = 5 y y ⇒ y - 350 - y + 400 × 100 = 5 y ∴ y = 50 × 100 = $ 1000 5
Correct Option: D
Let the C.P. of table be y
According to the question ,∴ y - 350 - y - 400 × 100 = 5 y y ⇒ y - 350 - y + 400 × 100 = 5 y ∴ y = 50 × 100 = $ 1000 5
∵ 5% of C.P. = $ 50∴ C.P. = 50 × 100 = $ 1000 50
- A book-seller bought 200 textbooks for $ 12,000. He wanted to sell them at a profit so that he got 20 books free. At what profit percent should he sell them?
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Here , Cost price of 200 textbooks = $ 12,000
Cost price of a book = 12000 = $ 60 200
Profit = 20 books
∴ Total profit = 60 × 20 = $ 1200
Correct Option: A
Here , Cost price of 200 textbooks = $ 12,000
Cost price of a book = 12000 = $ 60 200
Profit = 20 books
∴ Total profit = 60 × 20 = $ 1200∴ Profit percent = 1200 × 100 = 10% 12000
