Profit and Loss
- A saleable article passes successively in the hands of three traders. Each trader sold it further at a gain of 25% of the cost price. If the last trader sold it for Rs. 250 then what was the cost price for the first trader?
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Let the actual C.P. be $ y .
y × 125 × 125 × 125 = 250 100 100 100
Correct Option: A
Let the actual C.P. be $ y .
y × 125 × 125 × 125 = 250 100 100 100 ⇒ y × 5 × 5 × 5 = 250 4 4 4
⇒ y = 64 × 2 ⇒ y = $ 128
- A car worth $ 1,50,000 was sold by X to Y at 5% profit. Y sold the car back to X at 2% loss. In the entire transaction
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Given in question, SP for car = $ 1,50,000
SP for Mr. X = 150000 × ( 100 + 5 ) = $ 157500 100
CP for Mr. Y = 157500
Y sells the article to X at a loss of 2%.∴ SP for Mr. Y = 157500 × 98 = $ 154350 100
Correct Option: C
Given in question, SP for car = $ 1,50,000
SP for Mr. X = 150000 × ( 100 + 5 ) = $ 157500 100
CP for Mr. Y = 157500
Y sells the article to X at a loss of 2%.∴ SP for Mr. Y = 157500 × 98 = $ 154350 100
CP for Mr. X = $ 154350
∴ Gain of Mr. X = SP for Mr. X - CP for Mr. X
∴ Gain of Mr. X = $ (157500 – 154350) = $ 3150
- A manufacturer sells an article to a wholesale dealer at a profit of 10%. The wholesale dealer sells it to a shopkeeper at 20% profit. The shopkeeper sells it to a customer for $ 56,100 at a loss of 15%. Then the cost price of the article to the manufacturer is
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Let the required cost price be $ y, then
According to question ,y × 110 × 120 × 85 = 56100 100 100 100 ⇒ y × 11 × 6 × 17 = 56100 10 5 20
Correct Option: C
Let the required cost price be $ y, then
According to question ,y × 110 × 120 × 85 = 56100 100 100 100 ⇒ y × 11 × 6 × 17 = 56100 10 5 20 ⇒ y = 56100 × 10 × 5 × 20 = $ 50000 11 × 6 × 17
- A sells an article to B making a profit of (1 / 5) of his outlay. B sells it to C, gaining 20%. If C sells it for $ 600 and incurs a loss of (1 / 6) of his outlay, the cost price of article for A is
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If the C.P. for A be $ x, then
From the question ,
= 600⇒ x × 6 × 6 × 5 = 600 5 5 6
Correct Option: B
If the C.P. for A be $ x, then
From the question , = 600⇒ x × 6 × 6 × 5 = 600 5 5 6 ⇒ x = 600 × 5 = $ 500 6
- A sells a cycle to B at a profit of 5% and B sells it to C at a profit of 10%. If C pays $ 2310 for it, the cost price of A is
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Let the C.P. for A be $ y, then
According to question,y × 105 × 110 = 2310 100 100 ⇒ y = 2310 × 100 × 100 = $ 2000 105 × 110
We can find required answer with the help of given formula :
Here, r1 = 5%, r2 = 10%C.P. for C = C.P. for A 
2310 = C.P. for A 
Correct Option: A
Let the C.P. for A be $ y, then
According to question,y × 105 × 110 = 2310 100 100 ⇒ y = 2310 × 100 × 100 = $ 2000 105 × 110
We can find required answer with the help of given formula :
Here, r1 = 5%, r2 = 10%C.P. for C = C.P. for A 2310 = C.P. for A C.P. for A = 2310 × 100 × 100 = 2000 105 × 110
