Profit and Loss
- Ravi buys some toffees at 2 for a rupee and sells them at 5 for a rupee. His loss percent is
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Let Ravi buy 10 toffees. { ∴ LCM of 5 and 2 = 10 )
C.P. of 2 toffees = $ 1
∴ C.P. of 10 toffees = $ 5
C.P. of 5 toffees = $ 1
∴ S.P. of 10 toffees = $ 2
Loss = C.P. of 10 toffees - S.P. of 10 toffees = 5 - 2 = $ 3∴ Loss % = Loss × 100 % C.P. of 10 toffees Loss % = 3 × 100 = 60 % 5
We can find required answer with the help of given formula :
Here, a = 2, p = 1 and b = 5, q = 1Gain % = 
aq - bp 
× 100% bp
Correct Option: D
Let Ravi buy 10 toffees. { ∴ LCM of 5 and 2 = 10 )
C.P. of 2 toffees = $ 1
∴ C.P. of 10 toffees = $ 5
C.P. of 5 toffees = $ 1
∴ S.P. of 10 toffees = $ 2
Loss = C.P. of 10 toffees - S.P. of 10 toffees = 5 - 2 = $ 3∴ Loss % = Loss × 100 % C.P. of 10 toffees Loss % = 3 × 100 = 60 % 5
We can find required answer with the help of given formula :
Here, a = 2, p = 1 and b = 5, q = 1Gain % = aq - bp × 100% bp Gain % = 2 × 1 - 5 × 1 × 100% 5 × 1 Gain % = - 3 × 100% 5
= -60% (-ve sign shows loss)
- A fruit seller buys lemons at 2 for a rupee and sells them at 5 for three rupees. His profit percent is
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Suppose, number of lemons bought = LCM of 2, 5, 3 = 30
∴ CP of 30 lemons = $ 1 × 30 = $ 15 2 SP of 30 lemons = $ 3 × 30 = $ 18 5
∴ Gain = SP of 30 lemons - CP of 30 lemons = 18 - 15 = 3∴ Gain percent = 3 × 100 = 20% 15
We can find required answer with the help of given formula :
Here, a = 2, p = 1 and b = 5, q = 3Gain % = aq - bp × 100% bp
Correct Option: C
Suppose, number of lemons bought = LCM of 2, 5, 3 = 30
∴ CP of 30 lemons = $ 1 × 30 = $ 15 2 SP of 30 lemons = $ 3 × 30 = $ 18 5
∴ Gain = SP of 30 lemons - CP of 30 lemons = 18 - 15 = 3∴ Gain percent = 3 × 100 = 20% 15
We can find required answer with the help of given formula :
Here, a = 2, p = 1 and b = 5, q = 3Gain % = aq - bp × 100% bp Gain % = 2 × 3 - 5 × 1 × 100% 5 × 1 Gain % = 1 × 100% = 20% 5
- By selling a tape-recorder for $ 950, I lose 5%. What percent shall I gain by selling it for $ 1040?
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Given in question , S.P. of the tape recorder = $ 950
For lose 5% ,C.P. of the tape recorder = 100 × 950 = $ 1000 95
Second SP = $ 1040
Gain = 1040 – 1000 = $ 40
Correct Option: B
Given in question , S.P. of the tape recorder = $ 950
For lose 5% ,C.P. of the tape recorder = 100 × 950 = $ 1000 95
Second SP = $ 1040
Gain = 1040 – 1000 = $ 40% Gain = 40 × 100 = 4% 1000
- A person buys 100 cups at $ 10 each. On the way 10 cups are broken. He sells the remaining cups at $ 11 each. His loss per cent is
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As per the given in question ,
CP of 1 cup = $ 10
∴ CP of 100 cups = $ 100 × 10 = $ 1000
If 10 cups are broken.
∴ SP of 90 cups = $ (90 × 11) = $ 990
Loss = CP of 100 cups - SP of 90 cups = $ (1000 – 990) = $ 10∴ Loss percent = Loss × 100 CP of 100 cups
Correct Option: B
As per the given in question ,
CP of 1 cup = $ 10
∴ CP of 100 cups = $ 100 × 10 = $ 1000
If 10 cups are broken.
∴ SP of 90 cups = $ (90 × 11) = $ 990
Loss = CP of 100 cups - SP of 90 cups = $ (1000 – 990) = $ 10∴ Loss percent = Loss × 100 CP of 100 cups Loss percent = 10 × 100 = 1% 1000
- Mohan bought 25 books for $ 2,000 and sold them at a profit equal to the selling price of 5 books. The selling price of 1 book is
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Let the SP of 1 book = y
∴ SP of 25 books = 25y
According to the question,
25y – 2000 = 5y
⇒ 25y - 5y = 2000
⇒ 20y = 2000Correct Option: A
Let the SP of 1 book = y
∴ SP of 25 books = 25y
According to the question,
25y – 2000 = 5y
⇒ 25y - 5y = 2000
⇒ 20y = 2000⇒ y = 2000 = 100 20
∴ SP of 1 book = $ 100
