Profit and Loss
- If the cost price of 18 articles is equal to the selling price of 16 articles, the gain or loss is
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Let cost price of 1 article = $ 1
Then , Cost price of 16 articles = $ 16
Selling price of 16 articles = $ 18
Profit = Selling price of 16 articles - Cost price of 16 articles = 18 - 16 = $ 2Percentage profit = Profit × 100 Cost price of 16 articles Percentage profit = 2 × 100 16 Percentage profit = 25 = 12 1 % 2 2
Second method to solve this question :
Here, p = 18, q = 16Gain % = 
p - q 
× 100 q
Correct Option: D
Let cost price of 1 article = $ 1
Then , Cost price of 16 articles = $ 16
Selling price of 16 articles = $ 18
Profit = Selling price of 16 articles - Cost price of 16 articles = 18 - 16 = $ 2Percentage profit = Profit × 100 Cost price of 16 articles Percentage profit = 2 × 100 16 Percentage profit = 25 = 12 1 % 2 2
Second method to solve this question :
Here, p = 18, q = 16Gain % = p - q × 100 q Gain % = 18 - 16 × 100 16 Gain % = 2 × 100 16 Gain % = 25 = 12 1 % 2 2
- The cost price of 40 articles is the same as the selling price of 25 articles. Find the gain percent.
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Let cost price of 1 article = $ 1
Then , Cost price of 25 articles = $ 25
Selling price of 25 articles = $ 40
Gain = Selling price of 25 articles - Cost price of 25 articles = 40 - 25 = $ 15Gain percent = Gain × 100 Cost price of 25 articles Gain percent = 15 × 100 = 60% 25
We can find gain % with the help of given formula :
Here, p = 40, q = 25Gain % = p - q × 100 q
Correct Option: B
Let cost price of 1 article = $ 1
Then , Cost price of 25 articles = $ 25
Selling price of 25 articles = $ 40
Gain = Selling price of 25 articles - Cost price of 25 articles = 40 - 25 = $ 15Gain percent = Gain × 100 Cost price of 25 articles Gain percent = 15 × 100 = 60% 25
We can find gain % with the help of given formula :
Here, p = 40, q = 25Gain % = p - q × 100 q Gain % = 40 - 25 × 100 25 Gain % = 15 × 100 = 60% 25
- The cost price of a book is $ 150. At what price should it be sold to gain 20 %?
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Given that , Cost price of a book = $ 150
For gain 20 % , thenSelling Price of book = 150 × ( 100 + 20 ) = $ 180 100
We can find required answer with the help of given formula :S.P. = C.P. 100 + profit % 100
Correct Option: B
Given that , Cost price of a book = $ 150
For gain 20 % , thenSelling Price of book = 150 × ( 100 + 20 ) = $ 180 100
We can find required answer with the help of given formula :S.P. = C.P. 100 + profit % 100 S.P. = 150 × (100 + 20) 100 S.P. = 150 × 120 = $ 180 100
- A cloth merchant on selling 33 metres of cloth obtains a profit equal to the selling price of 11 metres of cloth. The profit percent is
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As per the given in question, we have
S.P. of 33 metres of cloth = C.P. of 33 metres of cloth + S.P. of 11 metres of cloth
∴ S.P. of 22 metres of cloth = C.P. of 33 metres of cloth⇒ C.P. = 22 S.P. 33
Gain = SP - CP = 33 - 22 = 11∴ Gain percent = Gain × 100 Cost price of 22 meter clothes Gain percent = 11 × 100 = 50% 22
We can find profit % with the help of given formula :
Here, p = 33, q = 11Profit % = q × 100 p - q
Correct Option: C
As per the given in question, we have
S.P. of 33 metres of cloth = C.P. of 33 metres of cloth + S.P. of 11 metres of cloth
∴ S.P. of 22 metres of cloth = C.P. of 33 metres of cloth⇒ C.P. = 22 S.P. 33
Gain = SP - CP = 33 - 22 = 11∴ Gain percent = Gain × 100 Cost price of 22 meter clothes Gain percent = 11 × 100 = 50% 22
We can find profit % with the help of given formula :
Here, p = 33, q = 11Profit % = q × 100 p - q Profit % = 11 × 100 33 - 11 Profit % = 11 × 100 = 50% 22
- A shopkeeper buys 144 items at 90 paise each. On the way 20 items are broken. He sells the remainder at ₹ 1.20 each. His gain percent correct to one place of decimal is
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From given in question ,
C.P. of each item = 90 paise∴ C.P. of 144 items = ₹ 144 × 90 = ₹ 129.60 100
if 20 items are broken out of 144 items , then
Total Selling Price of 124 items = ₹ (1.20 × 124) = ₹ 148.8
∴ Gain = ₹ (148.80 – 129.60) = ₹ 19.20
Correct Option: C
From given in question ,
C.P. of each item = 90 paise∴ C.P. of 144 items = ₹ 144 × 90 = ₹ 129.60 100
if 20 items are broken out of 144 items , then
Total Selling Price of 124 items = ₹ (1.20 × 124) = ₹ 148.8
∴ Gain = ₹ (148.80 – 129.60) = ₹ 19.20∴ Gain percent = Gain × 100 C.P. of 144 items Gain percent = 19.20 × 100 = 14.8% 129.60
