Profit and Loss
- If a shop–keeper purchases cashew nut at Rs. 250 per kg. and sells it at Rs. 10 per 50 grams, then he will have
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Given in question , C.P. of 1000 gm of cashew nut = Rs. 250
∴ C.P. of 50 gm of cashew nut = 250 × 50 = Rs. 12.5 1000
S.P. of 50 gm of cashew nut = Rs. 10
Loss = C.P. of 50 gm of cashew nut - S.P. of 50 gm of cashew nut = 12.5 - 10 = Rs. 2.5
Correct Option: D
Given in question , C.P. of 1000 gm of cashew nut = Rs. 250
∴ C.P. of 50 gm of cashew nut = 250 × 50 = Rs. 12.5 1000
S.P. of 50 gm of cashew nut = Rs. 10
Loss = C.P. of 50 gm of cashew nut - S.P. of 50 gm of cashew nut = 12.5 - 10 = Rs. 2.5Loss percent = Loss × 100 C.P. ∴ Loss percent = 2.5 × 100 = 20% 12.5
- Cost price of 100 books is equal to the selling price of 60 books. The gain percentage/loss percentage is
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Let C.P. of each book = Re. 1
∴ C.P. of 60 books = Rs. 60
S.P. of 60 books = Rs. 100
Gain = S.P. of 60 books - C.P. of 60 books = 100 - 60 = Rs 40∴ Gain percent = Gain × 100 C.P. of 60 books Gain percent = 40 × 100 60 Gain percent = 200 = 66 2 % 3 3
Second method to solve this question :
Here, p = 100, q = 60Gain % = 
p - q 
× 100 q
Correct Option: D
Let C.P. of each book = Re. 1
∴ C.P. of 60 books = Rs. 60
S.P. of 60 books = Rs. 100
Gain = S.P. of 60 books - C.P. of 60 books = 100 - 60 = Rs 40∴ Gain percent = Gain × 100 C.P. of 60 books Gain percent = 40 × 100 60 Gain percent = 200 = 66 2 % 3 3
Second method to solve this question :
Here, p = 100, q = 60Gain % = p - q × 100 q Gain % = 100 - 60 × 100 60 Gain % = 200 = 66 2 % 3 3
- If the cost price of 10 articles equals selling price of 9 articles, the gain or loss per cent will be
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Let C.P. of each article be Re. 1.
∴ C.P. of 9 articles = Rs. 9
∴ S.P. of 9 articles = Rs. 10
Profit = S.P. of 9 articles - C.P. of 9 articles = 10 - 9 = Rs. 1∴ Profit percent = Profit × 100 C.P. of 9 articles Profit percent = 1 × 100 = 100 = 11 1 % 9 9 9
We can find gain % with the help of given formula :
Here, p = 10, q = 9Gain % = p - q × 100 q
Correct Option: D
Let C.P. of each article be Re. 1.
∴ C.P. of 9 articles = Rs. 9
∴ S.P. of 9 articles = Rs. 10
Profit = S.P. of 9 articles - C.P. of 9 articles = 10 - 9 = Rs. 1∴ Profit percent = Profit × 100 C.P. of 9 articles Profit percent = 1 × 100 = 100 = 11 1 % 9 9 9
We can find gain % with the help of given formula :
Here, p = 10, q = 9Gain % = p - q × 100 q Gain % = 10 - 9 × 100 9 Gain % = 1 × 100 = 11 1 % 9 9
- Ritu purchased (5 / 2) dozen eggs at the rate of Rs. 20 per dozen. She found that 6 eggs were rotten. She sold the remaining eggs at the rate of Rs. 22 per dozen. Then her profit or loss per cent is :
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Given that ,
C.P. of 2 1 dozen eggs = 30 eggs 2 C.P. of 30 eggs = 20 × 30 = Rs. 50 12
Their S.P i.e. S.P. of 24 eggs = 22 × 2 = Rs. 44
∴ Loss = C.P. - S.P. = Rs. (50 – 44) = Rs. 6
Correct Option: A
Given that ,
C.P. of 2 1 dozen eggs = 30 eggs 2 C.P. of 30 eggs = 20 × 30 = Rs. 50 12
Their S.P i.e. S.P. of 24 eggs = 22 × 2 = Rs. 44
∴ Loss = C.P. - S.P. = Rs. (50 – 44) = Rs. 6∴ Loss percent = Loss × 100 C.P. ∴ Loss % = 6 × 100 = 12% 50
- Ram sold two horses at the same price. In one he gets a profit of 10% and in the other he gets a loss of 10%. Then Ram gets
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Here, selling prices are same, Profit-loss per cent are same.
In such transactions, there is always loss.
Given , a = 10%∴ Loss percent = a2 100
Correct Option: C
Here, selling prices are same, Profit-loss per cent are same.
In such transactions, there is always loss.
Given , a = 10%∴ Loss percent = a2 100 Loss % = 10 × 10 = 1% 100
