Profit and Loss
- An article is sold at a gain of 15%. Had it been sold for $ 27 more, the profit would have been 20%. The cost price of the article is
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Let the C.P. of article be $ y, then
According to question ,∴ 120y - 115y = 27 100 100 ⇒ 5y = 27 100 ⇒ y = 27 × 100 = $ 540 5
We can find required answer with the help of given formula :
Here, a = 15%, R = $ 27, b = 20%C.P. = R × 100 b + a
Correct Option: C
Let the C.P. of article be $ y, then
According to question ,∴ 120y - 115y = 27 100 100 ⇒ 5y = 27 100 ⇒ y = 27 × 100 = $ 540 5
We can find required answer with the help of given formula :
Here, a = 15%, R = $ 27, b = 20%C.P. = R × 100 b + a C.P. = 27 × 100 20 - 15 C.P. = 27 × 100 = $ 540 5
- A man sells an article at a gain of 15%. If he had bought it at 10% less and sold it for $ 4 less, he would have gained 25%. The cost price of the article is
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C.P. of article be $ y.
S.P. at 15% gain = 115y = 23y 100 20 New C.P. = $ 90y 100 New S.P. = $ 90y × 125 = $ 9y 100 100 8 ∴ 23y - 9y = 4 20 8
Correct Option: C
C.P. of article be $ y.
S.P. at 15% gain = 115y = 23y 100 20 New C.P. = $ 90y 100 New S.P. = $ 90y × 125 = $ 9y 100 100 8 ∴ 23y - 9y = 4 20 8 ⇒ 46y - 45y = 4 40
⇒ y = 40 × 4 = $ 160
- An article is sold at a loss of 10%. Had it been sold for $ 90 more, there would have been a gain of 5%. The original sale price of the article (in $) is :
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If the C.P. of article be $ y , then
According to question ,105y - 90y = 90 100 100 ⇒ 15y = 90 ⇒ y = 90 × 100 = 90 100 15
y = $ 600
Correct Option: A
If the C.P. of article be $ y , then
According to question ,105y - 90y = 90 100 100 ⇒ 15y = 90 ⇒ y = 90 × 100 = 90 100 15
y = $ 600∴ Original S.P. = 600 × 90 = $ 540 100
- A man sold an article at a loss of 20%. If he could sell it for $ 200 more, he would make a profit of 5%. The cost price of the article is
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C.P. of article = $ y
∴ First S.P. = 80y = $ 4y 100 5
According to question ,4y + 20 = 105y = 21y 5 100 20 ⇒ 21y - 4y = 200 20 5 ⇒ 21y - 16y = 200 20 ⇒ 5y = 200 ⇒ y = 4 × 200 = $ 800 20
Using the given formula :
Here, a = 20%, R = $ 200, b = 5%C.P. = R × 100 b + a
Correct Option: B
C.P. of article = $ y
∴ First S.P. = 80y = $ 4y 100 5
According to question ,4y + 20 = 105y = 21y 5 100 20 ⇒ 21y - 4y = 200 20 5 ⇒ 21y - 16y = 200 20 ⇒ 5y = 200 ⇒ y = 4 × 200 = $ 800 20
Using the given formula :
Here, a = 20%, R = $ 200, b = 5%C.P. = R × 100 b + a C.P. = 200 × 100 5 + 20 C.P. = 20000 = $ 800 25
- A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for $ 33 more, he would have had a profit of 30%. The cost price of the article is
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C.P. of the article be $ y
At 5% loss ,∴ First S.P. = 19y 20 C.P. = 9y 20 ∴ 19y + 33 20
On 30% profit ,⇒ 9y × 130 = 117 y 1000 100
Correct Option: C
C.P. of the article be $ y
At 5% loss ,∴ First S.P. = 19y 20 C.P. = 9y 20 ∴ 19y + 33 20
On 30% profit ,⇒ 9y × 130 = 117 y 1000 100 ⇒ 117y - 19y = 33 100 20
