Profit and Loss
- By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss per cent is
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From the question ,
CP of 144 hens – SP of 144 hens = Loss = SP of 6 hens
∴ SP of 150 hens = CP of 144 hens
Let CP of each hen = $ 1
∴ CP of 150 hens = $ 150
SP of 150 hens = $ 144∴ Loss% = 6 × 100 = 4% 150
We can find required answer with the help of given formula :
Here, p = 144, q = 6Loss% = q × 100 p + q
Correct Option: A
From the question ,
CP of 144 hens – SP of 144 hens = Loss = SP of 6 hens
∴ SP of 150 hens = CP of 144 hens
Let CP of each hen = $ 1
∴ CP of 150 hens = $ 150
SP of 150 hens = $ 144∴ Loss% = 6 × 100 = 4% 150
We can find required answer with the help of given formula :
Here, p = 144, q = 6Loss% = q × 100 p + q Loss% = 600 144 + 6 Loss% = 600 = 4% 150
- If the profit percent got on selling an article is numerically equal to its cost price in rupees and the selling price is $ 39, then cost price (in $) will be
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Let the CP of the article be y
Gain % = y%∴ 39 - y × 100 = y y
⇒ 3900 – 100y = y2
⇒ y2 + 100y – 3900 = 0
⇒ y2 + 130y – 30y – 3900 = 0
Correct Option: D
Let the CP of the article be y
Gain % = y%∴ 39 - y × 100 = y y
⇒ 3900 – 100y = y2
⇒ y2 + 100y – 3900 = 0
⇒ y2 + 130y – 30y – 3900 = 0
⇒ y(y + 130) – 30 (y + 130) = 0
⇒ (y – 30) (y + 130) = 0
⇒ y = 30 as y cannot be negative
- By selling 1 dozen ball pens, a shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit percent is
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According to question ,
SP of 12 ball pens = CP of 12 ball pens + SP of 4 ball pens.
⇒ SP of 8 ball pens = CP of 12 ball pens∴ Gain percent = 4 × 100 = 50% 8
We can find required answer with the help of given formula :
Here, p = 12, q = 4Profit% = q × 100 p - q
Correct Option: A
According to question ,
SP of 12 ball pens = CP of 12 ball pens + SP of 4 ball pens.
⇒ SP of 8 ball pens = CP of 12 ball pens∴ Gain percent = 4 × 100 = 50% 8
We can find required answer with the help of given formula :
Here, p = 12, q = 4Profit% = q × 100 p - q Profit% = 4 × 100 = 50% 12 - 4
- A merchant sold an article for $ 75 at a profit percent equal to its cost price. The cost price of the article was :
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Let the cost price of article be $ y.
∴ 
100 + y 
of y = 75 100
Correct Option: B
Let the cost price of article be $ y.
∴ 100 + y of y = 75 100
⇒ y2 + 100y – 7500 = 0
⇒ y2 + 150y – 50y – 7500 = 0
⇒ y (y + 150) – 50 (y + 150) = 0
⇒ (y – 50) (y + 150) = 0
⇒ y = 50 and y = - 150 as y can't be negative
- If the profit on selling an article for $ 425 is the same as the loss on selling it for $ 355, then the cost price of the article is
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Let the C.P. of article be y,
According to question ,
425 – y = y – 355
⇒ 2y = 425 + 355 = 780Correct Option: C
Let the C.P. of article be y,
According to question ,
425 – y = y – 355
⇒ 2y = 425 + 355 = 780⇒ y = 780 = $ 390 2
