Profit and Loss
- Ramesh buys 2 articles for Rs. 600. He sells on them at a profit of 22% and other at a loss of 8% and makes no profit or loss at the end. What is the cost of the article he sold at a loss ?
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Let CP of first article = Rs. x
CP of second article = Rs. (600 - x)
SP of first article = Rs. (122x / 100)
SP of second article = Rs. [92(600 - x)/100]
∴ {122x/100} + {92(600 - x)/100} = 600Correct Option: C
Let CP of first article = Rs. x
CP of second article = Rs. (600 - x)
SP of first article = Rs. (122x / 100)
SP of second article = Rs. [92(600 - x)/100]
∴ {122x/100} + {92(600 - x)/100} = 600
⇒ 122x - 92x = 60000 - 92 x 600
⇒ 30x = 4800
⇒ x = 160
∴ CP of the article sold at a loss = (600 - x) = Rs 440
- On selling an article for Rs. 64 one loses 20% . In order to gain 20%, what should be the selling price ?
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Let the cost price = Rs. N, loss = 20% and SP = Rs. 64
N = (100/80) x 64 = Rs. 80
Now, CP = Rs. 80, and gain = 20%Correct Option: A
Let the cost price = Rs. N, loss = 20% and SP = Rs. 64
N = (100/80) x 64 = Rs. 80
Now, CP = Rs. 80, and gain = 20%
so SP = (120/100) x 80 = Rs. 96
- A furniture seller sells two tables at Rs. 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is ?
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Overall loss % = (a2/100) % = (202/100) %
Correct Option: A
Overall loss % = (a2/100) % = (202/100) % = 4%
Thus, seller gets 4% loss in the deal.
- A man sold two books at Rs. 24 each, on one he got a profit of 20% and on other, he lost 20% . On the whole, he ?
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SP of first book = Rs. 24, gain = 20%
CP of first book = (100/120) x 24 = Rs. 20
SP of second book = Rs. 24, loss = 20%
CP of second book = (100/80) x 24 = Rs. 30
Total CP = (20 + 30) = 50
Total SP = (24 x 2) = Rs. 48Correct Option: C
SP of first book = Rs. 24, gain = 20%
CP of first book = (100/120) x 24 = Rs. 20
SP of second book = Rs. 24, loss = 20%
CP of second book = (100/80) x 24 = Rs. 30
Total CP = (20 + 30) = 50
Total SP = (24 x 2) = Rs. 48
Loss = (50 - 48) = Rs. 2
So, on the whole, there is a loss of Rs. 2
- A man purchases two clocks A and B at a total cost of Rs. 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing price of A and B, respectively ?
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Let the cost price of watch A = Rs. N
Then, cost price of watch B = Rs. (650 - N)
Now, selling price of watch A = (120 x N) / 100 = Rs. 6N/5
Also, selling price of watch B = (650 - N) x (75/100) = Rs. {3 x (650 - N)}/4
As, according to the question, two selling prices are equal.
∴ 6N/5 = {3 x (650 - N)}/4Correct Option: B
Let the cost price of watch A = Rs. N
Then, cost price of watch B = Rs. (650 - N)
Now, selling price of watch A = (120 x N) / 100 = Rs. 6N/5
Also, selling price of watch B = (650 - N) x (75/100) = Rs. {3 x (650 - N)}/4
As, according to the question, two selling prices are equal.
∴ 6N/5 = {3 x (650 - N)}/4
⇒ 8N = 5 x (650 - N)
⇒ 8N + 5N = 5 x 650
⇒ 13N = 5 x 650
⇒ N = (5 x 650)/13 = 250
∴ Cost price of watch A = Rs. 250
and cost price of watch B = (650 - 250) = Rs. 400
