Profit and Loss
- A man bought a horse and a carriage for $ 40,000. He sold the horse at a gain of 10 % and the carriage at a loss of 5%. He gained 1% on his whole transaction. The cost price of the horse was :
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Given in question , Total CP of a horse and a carriage = $ 40,000.
Suppose the C.P. of horse be $ y, then
C.P. of carriage = $ (40000 – y)
Then,∴ 110 × y + (40000 - y) × 95 = 40000 × 101 100 100 100
⇒ 110y + 3800000 – 95y = 4040000
Correct Option: B
Given in question , Total CP of a horse and a carriage = $ 40,000.
Suppose the C.P. of horse be $ y, then
C.P. of carriage = $ (40000 – y)
Then,∴ 110 × y + (40000 - y) × 95 = 40000 × 101 100 100 100
⇒ 110y + 3800000 – 95y = 4040000
⇒ 15y = 4040000 – 3800000
⇒ 15y = 240000⇒ y = 240000 = $ 16000 15
- A man sold two articles at $ 375 each. On one, he gains 25% and on the other, he loses 25%. The gain or loss% on the whole transaction is
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Here, both the articles are sold at the same price. Hence, there is always loss.
∴ Required loss% = y2 100
Here , y = 25%
Correct Option: D
Here, both the articles are sold at the same price. Hence, there is always loss.
∴ Required loss% = y2 100
Here , y = 25%Loss percent = 25 × 25 = 25 = 6 1 % 100 4 4
- A person bought two articles A and B for $ 5,000. He sold A at 20% profit and B at 10% loss. He thus gained 2% on his outlay. The cost price of A was
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Given that , CP of two articles A and B = $ 5,000
Let the CP of article A be $ y
∴ CP of article B = $ (5000 – y)
According to the question,
120% of y + 90% of (5000 – y) = 102% of 5000
⇒ 120y + 450000 – 90y = 510000
⇒ 30y = 510000 – 450000 = 60000Correct Option: C
Given that , CP of two articles A and B = $ 5,000
Let the CP of article A be $ y
∴ CP of article B = $ (5000 – y)
According to the question,
120% of y + 90% of (5000 – y) = 102% of 5000
⇒ 120y + 450000 – 90y = 510000
⇒ 30y = 510000 – 450000 = 60000⇒ y = 60000 = $ 2000 30
Hence , The cost price of A is $ 2000 .
- A trader bought two horses for $ 19,500. He sold one at a loss of 20% and the other at a profit of 15%. If the selling price of each horse is the same, then their cost price are respectively.
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Given that , Total CP of two horses ( y ) = $ 19,500.
One of them is sold at a loss of a% and other is sold at a gain of b% and their S.P. is same.∴ C.P. of article sold at a loss of a% = 100 + b × y 200 - a + b
Here , a = 20 , b = 15%C.P. of first horse = 100 + 15 × 19500 200 - 20 + 15
Correct Option: B
Given that , Total CP of two horses ( y ) = $ 19,500.
One of them is sold at a loss of a% and other is sold at a gain of b% and their S.P. is same.∴ C.P. of article sold at a loss of a% = 100 + b × y 200 - a + b
Here , a = 20 , b = 15%C.P. of first horse = 100 + 15 × 19500 200 - 20 + 15 C.P. of first horse = 115 × 19500 = $ 11500 195
⇒ C.P. of second horse = 19500 - 11500 = $ 8000
- A man buys a field of agricultural land for $ 3,60,000. He sells one- third at a loss of 20% and two- fifths at a gain of 25%. At what price must he sell the remaining field so as to make an overall profit of 10 %?
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Here , CP of total agricultural field = $ 3,60,000
SP of total agricultural field = $ 
360000 × 110 
= $ 396000 100 SP of one–third of the field = 1 × 360000 × 80 = $ 96000 3 100 SP of 2 th of the field 5
Correct Option: C
Here , CP of total agricultural field = $ 3,60,000
SP of total agricultural field = $ 360000 × 110 = $ 396000 100 SP of one–third of the field = 1 × 360000 × 80 = $ 96000 3 100 SP of 2 th of the field 5 Or SP of two –fifth of the field = 2 × 360000 × 125 = $ 180000 5 100
∴ SP of the remaining field = $ (396000 – 96000 – 180000) = $ 120000
