Profit and Loss
- An article is sold at a profit of 25%. If the selling price is doubled, the profit will be :
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Let C.P. of article = Rs. 100
∴ S.P. = Rs. 125
New S.P. = Rs. 250
Profit = New S.P. - C.P. of article = 250 - 100 = Rs. 150∴ Profit percent = Profit × 100 C.P. of article
Correct Option: D
Let C.P. of article = Rs. 100
∴ S.P. = Rs. 125
New S.P. = Rs. 250
Profit = New S.P. - C.P. of article = 250 - 100 = Rs. 150∴ Profit percent = Profit × 100 C.P. of article Profit percent = 150 × 100 = 150% 100
- A shopkeeper buys two cameras at the same price. He sells one camera at a profit of 18% and the other at a price 10% less than the selling price of the first. His total profit or loss percent is
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Let C.P. of each camera = Rs. y
For profit of 18% ,S.P. of first camera = Rs. 118y 100
On 10% less ,S.P. of second camera = 118y × 90 100 100 = Rs. 1062y 1000
Correct Option: C
Let C.P. of each camera = Rs. y
For profit of 18% ,S.P. of first camera = Rs. 118y 100
On 10% less ,S.P. of second camera = 118y × 90 100 100 = Rs. 1062y 1000 Profit = 118y + 1062y - 2y 100 1000 Profit = 1180y + 1062y - 2000y 1000 Profit = Rs. 242y 1000 ∴ Gain percent = 242y × 100 = 12.2% 1000 × 2y
- A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be
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Let Marked price of article = Rs. y and Cost price of article ( C.P. ) = Rs. 100
According to the question ,∴ y = 80 ⇒ y = Rs. 160 2
Correct Option: A
Let Marked price of article = Rs. y and Cost price of article ( C.P. ) = Rs. 100
According to the question ,∴ y = 80 ⇒ y = Rs. 160 2
Gain on selling at the marked price = 160 - 100 = 60%
- By selling 20 metres of cloth a man gains the selling price of 4 metres of cloth. The gain percent is
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From question , S.P. of 20 metres of cloth = C.P of 20 metres of cloth + S.P of 4 metres of cloth
⇒ S.P of (20 – 4 = 16 ) metres of cloth = C.P of 20 metres of cloth
Let C.P of 1 metre of cloth = $ 1
∴ C.P of 16 metres of cloth = $ 16
S.P of 16 metres of cloth = $ 20
Gain = S.P of 16 metres of cloth - C.P of 16 metres of cloth = 20 - 16 = $ 4∴ Gain % = Gain × 100 C.P of 16 metres of cloth Gain % = 100 = 25% 4
We can find gain % with the help of given formula :
Here, p = 20, q = 4,Gain % = y × 100 p - q
Correct Option: A
From question , S.P. of 20 metres of cloth = C.P of 20 metres of cloth + S.P of 4 metres of cloth
⇒ S.P of (20 – 4 = 16 ) metres of cloth = C.P of 20 metres of cloth
Let C.P of 1 metre of cloth = $ 1
∴ C.P of 16 metres of cloth = $ 16
S.P of 16 metres of cloth = $ 20
Gain = S.P of 16 metres of cloth - C.P of 16 metres of cloth = 20 - 16 = $ 4∴ Gain % = Gain × 100 C.P of 16 metres of cloth Gain % = 100 = 25% 4
We can find gain % with the help of given formula :
Here, p = 20, q = 4,Gain % = y × 100 p - q Gain % = 4 × 100 20 - 4 Gain % = 4 × 100 = 25% 16
- Ten articles were bought for Rs. 8, and sold at 8 for Rs. 10. The gain percent is
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Let 40 articles (LCM of 8 and 10) be bought.
C.P of 1 article = Rs. 8∴ C.P of 40 articles = 8 × 40 = Rs. 32 10
S.P of 1 article = Rs. 10S.P. of 40 articles = 10 × 40 = Rs. 50 8
Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 32 = Rs. 18∴ Profit percent = Profit × 100 C.P. of 40 articles Profit percent
=1800 = 56.25% 32
We can find gain % with the help of given formula :
Here, a = 10, p = 8 and b = 8, q = 10Gain % = aq - bp × 100 bp
Correct Option: C
Let 40 articles (LCM of 8 and 10) be bought.
C.P of 1 article = Rs. 8∴ C.P of 40 articles = 8 × 40 = Rs. 32 10
S.P of 1 article = Rs. 10S.P. of 40 articles = 10 × 40 = Rs. 50 8
Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 32 = Rs. 18∴ Profit percent = Profit × 100 C.P. of 40 articles Profit percent
=1800 = 56.25% 32
We can find gain % with the help of given formula :
Here, a = 10, p = 8 and b = 8, q = 10Gain % = aq - bp × 100 bp Gain % = 10 × 10 - 8 × 8 × 100 8 × 8 Gain % = 36 × 100 64 Gain % = 1800 = 56.25% 32