Profit and Loss
- A dealer sold two types of goods for $ 10,000 each. On one of them, he lost 20% and on the other he gained 20%. His gain or loss percent in the entire transaction was
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We can say that when S.P. is same. Hence there is always a loss.
Here,∴ Loss percent = y2 100
Correct Option: D
We can say that when S.P. is same. Hence there is always a loss.
Here,∴ Loss percent = y2 100 Loss percent = 20 × 20 = 4% 100
- A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss per cent is
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As per the given in question ,
S.P. of 36 oranges = C.P. of 36 oranges – S.P. of 4 oranges
⇒ S.P. of 40 oranges = C.P. of 36 oranges∴ Loss percent = 4 × 100 = 10% 40
We can find the required answer with the help of given method :
Here, p = 36, q = 4Loss % = q × 100 p + q
Correct Option: C
As per the given in question ,
S.P. of 36 oranges = C.P. of 36 oranges – S.P. of 4 oranges
⇒ S.P. of 40 oranges = C.P. of 36 oranges∴ Loss percent = 4 × 100 = 10% 40
We can find the required answer with the help of given method :
Here, p = 36, q = 4Loss % = q × 100 p + q Loss % = 4 × 100 = 10% 36 + 4
- The marked price of an article is Rs. 5000. But due to a special festive offer a certain percent of discount is declared. Mr. X availed this opportunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of (100 / 9) %. The percentage of discount allowed was
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Let the C.P. for Mr. X = Rs. y
According to the question,
100 + 100 
% of y = 5000 9 ⇒ y × 1000 = 5000 900 ⇒ y = 5000 × 900 = Rs. 4500 1000
Correct Option: A
Let the C.P. for Mr. X = Rs. y
According to the question,100 + 100 % of y = 5000 9 ⇒ y × 1000 = 5000 900 ⇒ y = 5000 × 900 = Rs. 4500 1000
∴ C.P. for Mr. X = Rs. 4500
∴ Discount = Rs. (5000 – 4500) = Rs. 500∴ Discount percent = 500 × 100 = 10% 5000
- Profit after selling a commodity for $ 524 is the same as loss after selling it for $ 452. The cost price of the commodity is
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Let the cost price of the commodity = $ y
According to the question ,
524 – y = y – 452
⇒ 2y = 524 + 452
⇒ 2y = 976⇒ y = 976 2
Correct Option: C
Let the cost price of the commodity = $ y
According to the question ,
⇒ 524 – y = y – 452
⇒ 2y = 524 + 452
⇒ 2y = 976⇒ y = 976 = 488 2
The required price = $ 488
- A clock was sold for $ 144. If the percentage of profit was numerically equal to the cost price, the cost of the clock was
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Given that , Selling price of the clock = $ 144
Let the cost price be y.
According to question ,
∴ (100 + y)% of y = 144
⇒ (100 + y)y = 14400
⇒ y2 + 100y – 14400 = 0
⇒ y2 + 180y – 80y – 14400 = 0
⇒ y(y + 180) – 80 (y + 180) = 0Correct Option: B
Given that , Selling price of the clock = $ 144
Let the cost price be y.
According to question ,
∴ (100 + y)% of y = 144
⇒ (100 + y)y = 14400
⇒ y2 + 100y – 14400 = 0
⇒ y2 + 180y – 80y – 14400 = 0
⇒ y(y + 180) – 80 (y + 180) = 0
⇒ (y + 180) (y – 80) = 0
⇒ y = 80 [y ≠ –180]
Hence , required answer is $ 80.
