Profit and Loss
- A sells a article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction
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Let the CP of the article for A be $ 100
∴ CP for B at a profit of 10% = $ 110Again , CP for A = 110 × 90 = $ 99 100
Correct Option: B
Let the CP of the article for A be $ 100
∴ CP for B at a profit of 10% = $ 110Again , CP for A = 110 × 90 = $ 99 100
Gain of A = 110 – 99 = $ 11
∴ Gain percent of A = 11%
- One trader calculates the percentage of profit on the buying price and another calculates on the selling price. When their selling prices are the same, then the difference of their actual profits is $ 85 and both claim to have made 20% profit. What is the selling price of each?
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For the first trader,
Let the CP of the article be 100
∴ SP = $ 120
For the second trader,
SP of the article = $ 120
Gain = 20%
Let the CP be y .∴ 120 - y × 100 = 20 120 ⇒ 120 – y = 20 × 6 = 24 5
⇒ y = 120 – 24 = $ 96
∴ Gain = $ 24
Difference of Gain = 24 – 20 = $ 4
Correct Option: C
For the first trader,
Let the CP of the article be 100
∴ SP = $ 120
For the second trader,
SP of the article = $ 120
Gain = 20%
Let the CP be y .∴ 120 - y × 100 = 20 120 ⇒ 120 – y = 20 × 6 = 24 5
⇒ y = 120 – 24 = $ 96
∴ Gain = $ 24
Difference of Gain = 24 – 20 = $ 4
∵ If the difference of gains be $ 4, then SP = $ 120
∴ When the difference be $ 85SP = 120 × 85 = $ 2550 4
- An increase of $ 3 in the selling price of an article turns a loss of (15 / 2) % into a gain of (15 / 2) % . The cost price (in $) of the article is:
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As per the given question,
15% of CP of article = $ 3⇒ 15 × CP of the article = $ 3 100
Correct Option: B
As per the given question,
15% of CP of article = $ 3⇒ 15 × CP of the article = $ 3 100 ∴ CP of article = 3 × 100 = $ 20 15
- A dealer sold (3 / 4) of his articles at a gain of 20% and the remaining at cost price. The gain percent earned by him in the whole transaction is
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Let 100 articles be sold and the CP of each article be $ 1.
∴ SP. of 75 articles = $ 
120 × 75 
= $ 90 100
Profit = $ (90 – 75) = $ 15
Correct Option: C
Let 100 articles be sold and the CP of each article be $ 1.
∴ SP. of 75 articles = $ 120 × 75 = $ 90 100
Profit = $ (90 – 75) = $ 15∴ Profit percent = 15 × 100 = 15% 100
- By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. His gain percent is
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By selling 100 pencils, shopkeeper gains the SP of 20 pencils.
Clearly, CP of 100 pencils = SP of 80 pencils
Let CP of each pencil = $ 1.
CP of 80 pencils = $ 80
SP of 80 pencils = $ 100
Gain = SP of 80 pencils - CP of 80 pencils = 100 - 80 = $ 20∴ Gain percent = 20 × 100 = 25% 80
Using the given formula :
Here, p = 100, q = 20Profit % = q × 100 p - q
Correct Option: A
By selling 100 pencils, shopkeeper gains the SP of 20 pencils.
Clearly, CP of 100 pencils = SP of 80 pencils
Let CP of each pencil = $ 1.
CP of 80 pencils = $ 80
SP of 80 pencils = $ 100
Gain = SP of 80 pencils - CP of 80 pencils = 100 - 80 = $ 20∴ Gain percent = 20 × 100 = 25% 80
Using the given formula :
Here, p = 100, q = 20Profit % = q × 100 p - q Profit % = 20 × 100 100 - 20 Profit % = 20 × 100 = 25% 80
