Profit and Loss
- A man purchases some oranges at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs. 60. If he sells all the oranges at the rate of 3 for Rs. 50, find his gain or loss percent (to the nearest integer).
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Let the man buy in all 30 oranges.
C.P. of some oranges at the rate of 3 = Rs. 40
{ ∴ LCM of 3 and 5 = 15 }∴ C.P. of 15 oranges at 3 for Rs. 40 = 40 × 15 = Rs. 200 3 Again, C.P. of 15 oranges at 5 for Rs. 60 = 60 × 15 = Rs. 180 5
∴ Total C.P. = Rs. (200 + 180) = Rs. 380S.P. of 30 oranges = 50 × 30 = Rs. 500 3
Correct Option: A
Let the man buy in all 30 oranges.
C.P. of some oranges at the rate of 3 = Rs. 40
{ ∴ LCM of 3 and 5 = 15 }∴ C.P. of 15 oranges at 3 for Rs. 40 = 40 × 15 = Rs. 200 3 Again, C.P. of 15 oranges at 5 for Rs. 60 = 60 × 15 = Rs. 180 5
∴ Total C.P. = Rs. (200 + 180) = Rs. 380S.P. of 30 oranges = 50 × 30 = Rs. 500 3
∴ Profit = Rs. (500 – 380) = Rs. 120∴ Profit % = 120 × 100 = 31.58% ≈ 32% 380
- A shopkeeper purchases an article for Rs. 3,550 and spends Rs. 50 on it for its repair. If he then sold the article for Rs. 3,816, the percent of profit is
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Given that , A shopkeeper spends money for repair = Rs. 50
Actual C.P. of article = Rs. (3550 + 50) = Rs. 3600
Selling price of article = Rs. 3816
Gain = Selling price of article - Actual C.P. of article = 3816 – 3600 = Rs. 216∴ Gain percent = Gain × 100 % Actual C.P. of article
Correct Option: A
Given that , A shopkeeper spends money for repair = Rs. 50
Actual C.P. of article = Rs. (3550 + 50) = Rs. 3600
Selling price of article = Rs. 3816
Gain = Selling price of article - Actual C.P. of article = 3816 – 3600 = Rs. 216∴ Gain percent = Gain × 100 % Actual C.P. of article Gain percent = 216 × 100 = 6% 3600
- A man purchased an article for Rs. 1500 and sold it at 25% above the cost price. If he has to pay Rs. 75 as tax on it, his net profit percentage will be :
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Given that , Cost price of article = Rs. 1500
S.P. of article = 1500 × 125 = Rs. 1875 100
Net S.P. after paying tax = Rs. (1875 – 75) = Rs. 1800
∴ Profit = 1800 – 1500 = Rs. 300
Correct Option: A
Given that , Cost price of article = Rs. 1500
S.P. of article = 1500 × 125 = Rs. 1875 100
Net S.P. after paying tax = Rs. (1875 – 75) = Rs. 1800
∴ Profit = 1800 – 1500 = Rs. 300∴ Profit percent = 300 × 100 = 20% 1500
- If a man were to sell his hand– cart for Rs. 720, he would lose 25%. At what price must he sell it to gain 25%?
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Given that , S.P. of hand-cart = Rs. 720 and loss = 25%
C.P. of hand-cart = 100 × 720 = Rs. 960 75
For 25% profit ,
Correct Option: A
Given that , S.P. of hand-cart = Rs. 720 and loss = 25%
C.P. of hand-cart = 100 × 720 = Rs. 960 75
For 25% profit ,S.P. = 125 × 960 = Rs. 1200 100
- If the Cost Price of 25 chairs is equal to the selling price of 30 chairs, then the loss % is :
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Let the cost of each chair be Re. 1.
∴ C.P. of 30 chairs = Rs. 30.
Their S.P. = Rs. 25
Loss = C.P. - S.P. = 30 - 25 = Rs. 5∴ Loss percent = Loss × 100 C.P.
Correct Option: D
Let the cost of each chair be Re. 1.
∴ C.P. of 30 chairs = Rs. 30.
Their S.P. = Rs. 25
Loss = C.P. - S.P. = 30 - 25 = Rs. 5∴ Loss percent = Loss × 100 C.P. ∴ Loss percent = 50 = 16 2 % 3 3
