Profit and Loss
- By selling 1 dozen ball pens, a shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit percent is
-
View Hint View Answer Discuss in Forum
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
- 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
-
View Hint View Answer Discuss in Forum
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 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss per cent is
-
View Hint View Answer Discuss in Forum
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
- A clock was sold for $ 144. If the percentage of profit was numerically equal to the cost price, the cost of the clock was
-
View Hint View Answer Discuss in Forum
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.
- Profit after selling a commodity for $ 524 is the same as loss after selling it for $ 452. The cost price of the commodity is
-
View Hint View Answer Discuss in Forum
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