Profit and Loss
- On selling 17 balls at $ 720, there is a loss equal to the cost price of 5 balls. The cost price (in $) of a ball is
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Let C.P. of a ball = y
S.P. of 17 balls = $ 720
From the question ,
∴ 17y – 720 = 5y
⇒ 17y - 5y = 720Correct Option: D
Let C.P. of a ball = y
S.P. of 17 balls = $ 720
From the question ,
∴ 17y – 720 = 5y
⇒ 17y - 5y = 720
⇒ 12y = 720
⇒ y = $ 60
- A man sold 250 chairs and had a gain equal to selling price of 50 chairs. His profit percent is :
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As we know that ,
Gain = S.P. - C.P.
S.P. of 250 chairs – C.P. of 250 chairs = S.P. of 50 chairs
⇒ S.P. of 200 chairs = C.P. of 250 chairs
Gain = 250 - 200 = 50∴ profit% = 50 × 100 = 25% 200
We can find required answer with the help of given formula :
Here, p = 250, q = 50Profit% = q × 100 p - q
Correct Option: B
As we know that ,
Gain = S.P. - C.P.
S.P. of 250 chairs – C.P. of 250 chairs = S.P. of 50 chairs
⇒ S.P. of 200 chairs = C.P. of 250 chairs
Gain = 250 - 200 = 50∴ profit% = 50 × 100 = 25% 200
We can find required answer with the help of given formula :
Here, p = 250, q = 50Profit% = q × 100 p - q Profit% = 50 × 100 250 - 50 Profit% = 50 = 25% 2
- The loss incurred on selling 21 articles equals the selling price of 3 articles. Then the loss per cent is
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Given in question, S.P. of 3 articles = C.P. of 21 articles – S.P. of 21 articles
⇒ S.P. of 24 articles = C.P. of 21 articles⇒ S.P. = 21 C.P. 24
Loss = 24 - 21 = 3∴ Loss percent = 3 × 100 24 Loss percent = 12 1 % 2
We can find required answer with the help of given formula :
Here, p = 21, q = 3Loss% = q × 100 p + q
Correct Option: C
Given in question, S.P. of 3 articles = C.P. of 21 articles – S.P. of 21 articles
⇒ S.P. of 24 articles = C.P. of 21 articles⇒ S.P. = 21 C.P. 24
Loss = 24 - 21 = 3∴ Loss percent = 3 × 100 24 Loss percent = 12 1 % 2
We can find required answer with the help of given formula :
Here, p = 21, q = 3Loss% = q × 100 p + q Loss% = 3 × 100 21 + 3 Loss% = 100 = 25 = 12 1 % 8 2 2
- 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
- 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