Profit and Loss
- A fruit seller buys oranges at the rate of Rs. 10 per dozen and sells at the rate of Rs. 12 per dozen. His gain percent is :
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Given that , C.P. of 12 oranges = Rs. 10
S.P. of 12 oranges = Rs. 12
Profit = S.P. of 12 oranges - C.P. of oranges = 12 - 10 = Rs . 2∴ Profit percent = Profit × 100 C.P. of 12 oranges
Correct Option: A
Given that , C.P. of 12 oranges = Rs. 10
S.P. of 12 oranges = Rs. 12
Profit = S.P. of 12 oranges - C.P. of oranges = 12 - 10 = Rs . 2∴ Profit percent = Profit × 100 C.P. of 12 oranges Profit percent = 2 × 100 = 20% 10
- If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is
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Let the C.P. of each pen be Re. 1.
∴ C.P. of 20 pens = Rs. 20
∴ S.P. of 20 pens = Rs. 25
Profit = S.P. of 20 pens - C.P. of 20 pens = 25 - 20 = Rs. 5∴ Profit percent = Profit × 100 C.P. of 20 pens
Correct Option: B
Let the C.P. of each pen be Re. 1.
∴ C.P. of 20 pens = Rs. 20
∴ S.P. of 20 pens = Rs. 25
Profit = S.P. of 20 pens - C.P. of 20 pens = 25 - 20 = Rs. 5∴ Profit percent = Profit × 100 C.P. of 20 pens Profit percent = 500 = 25% 20
- A shopkeeper sells rice at 10% profit and uses weight 30% less than the actual measure. His gain per cent is
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Let C.P. of 1 kg. of rice be Rs. 100.
According to the question,
∵ S.P. of 700 gm. of rice = Rs. 110∴ S.P. of 1000 gm. of rice = 110 × 1000 700 S.P. of 1000 gm. of rice = 1100 = Rs. 157 1 7 7
Correct Option: B
Let C.P. of 1 kg. of rice be Rs. 100.
According to the question,
∵ S.P. of 700 gm. of rice = Rs. 110∴ S.P. of 1000 gm. of rice = 110 × 1000 700 S.P. of 1000 gm. of rice = 1100 = Rs. 157 1 7 7 ∴ Profit = SP - CP = 157 1 - 100 7 Profit = 57 1 7 ∴ Profit percent = 57 1 % 7
- A man bought 4 dozen eggs at Rs. 24 per dozen and 2 dozen eggs at Rs. 32 per dozen. To gain 20% on the whole, he should sell the eggs at
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Here , C.P. of 4 dozens of eggs at the rate of Rs. 24 per dozen = Rs. (24 × 4) = Rs. 96
C.P. of 2 dozens of eggs at Rs. 32 per dozen = Rs. (32 × 2) = Rs. 64
Total C.P. of 6 dozens of eggs = Rs. (96 + 64) = Rs. 160S.P. for 20% profit = 
160 × 120 
= Rs. 192 100
Correct Option: C
Here , C.P. of 4 dozens of eggs at the rate of Rs. 24 per dozen = Rs. (24 × 4) = Rs. 96
C.P. of 2 dozens of eggs at Rs. 32 per dozen = Rs. (32 × 2) = Rs. 64
Total C.P. of 6 dozens of eggs = Rs. (96 + 64) = Rs. 160S.P. for 20% profit = 160 × 120 = Rs. 192 100 ∴ S.P. per dozen = 192 = Rs. 32 6
- If 10% loss is made on selling price, then the percentage of loss on the cost price will be
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Given that , Loss% = 10% ( on selling price )
Loss = C.P - S.P.
According to the question,Loss% = C.P - S.P. S.P.
Where C.P. = Rs. p and S.P. = Rs. q⇒ 10 = p - q = 1 100 q 10
⇒ 10p – 10q = q
⇒ 10p = 11q
At C.P. ,Loss% = p - q × 100 p 
Correct Option: B
Given that , Loss% = 10% ( on selling price )
Loss = C.P - S.P.
According to the question,Loss% = C.P - S.P. S.P.
Where C.P. = Rs. p and S.P. = Rs. q⇒ 10 = p - q = 1 100 q 10
⇒ 10p – 10q = q
⇒ 10p = 11q
At C.P. ,Loss% = p - q × 100 p Loss% = 11p - 10p × 100 = 100 11p 11 Loss% = 9 1 % 11
