Profit and Loss
- By selling an article for $ 69, there is a loss of 8%, when the article is sold for $ 78, the gain or loss percent is :
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Given in question , SP of article = $ 69
Loss % = 8%∴ CP = $ 100 × 69 = $ 75 92
New SP = $ 78
Gain = New SP - CP = 78 - 75 = $ 3∴ Gain % = Gain × 100 CP Gain % = 3 × 100 = 4% 75
We can find required answer with the help of given formula :C.P. = S P × 100 100 - Loss% C.P. = 69 × 100 100 - 8 = 6900 = Rs. 75 92 New S.P.= C.P 
100 + Profit% 
100 78 = 75 × 100 + Profit% 100
Correct Option: B
Given in question , SP of article = $ 69
Loss % = 8%∴ CP = $ 100 × 69 = $ 75 92
New SP = $ 78
Gain = New SP - CP = 78 - 75 = $ 3∴ Gain % = Gain × 100 CP Gain % = 3 × 100 = 4% 75
We can find required answer with the help of given formula :C.P. = S P × 100 100 - Loss% C.P. = 69 × 100 100 - 8 = 6900 = Rs. 75 92 New S.P.= C.P 100 + Profit% 100 78 = 75 × 100 + Profit% 100
7800 = 7500 + 75 Profit%
⇒ 7800 - 7500 = 75 Profit% ⇒ 75 Profit% = 300Profit% = 300 = 4% 75
- To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is
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Let the quantity of water mixed be w kg.
Let the CP of 1 kg of pure milk = $ 1∴ Gain percent = w × 100 50
Correct Option: B
Let the quantity of water mixed be w kg.
Let the CP of 1 kg of pure milk = $ 1∴ Gain percent = w × 100 50
⇒ 2w = 10 ⇒ w = 5 kg
- A shopkeeper bought 80kg of sugar at the rate of $ 13.50 per kg. He mixed it with 120kg of sugar costing $ 16 per kg. In order to make a profit of 20%, he must sell the mixture at
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As per the given in question ,
CP of 200kg of sugar = (80 × 13.50 + 120 × 16) = (1080 + 1920) = 3000∴ CP of 1 Kg of sugar = 3000 = $ 15 200
Correct Option: A
As per the given in question ,
CP of 200kg of sugar = (80 × 13.50 + 120 × 16) = (1080 + 1920) = 3000∴ CP of 1 Kg of sugar = 3000 = $ 15 200 ∴ To gain 20% SP = 15 × 120 = $ 18 / kg. 100
- On selling an article for $ 105 a trader loses 9%. To gain 30% he should sell the article at
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Let C.P. = 100%
Given that , Selling price of an article = $ 105
Loss % = 11%
(100 – 9)% = 91% = 105
To gain 30% ,(100 + 30)% = 105 × 130 = $ 150 91
Second method to solve this question :C.P. = 105 × 100 100 - 9 C.P. = 105 × 100 91 C.P. = 1500 13
Correct Option: C
Let C.P. = 100%
Given that , Selling price of an article = $ 105
Loss % = 11%
(100 – 9)% = 91% = 105
To gain 30% ,(100 + 30)% = 105 × 130 = $ 150 91
Second method to solve this question :C.P. = 105 × 100 100 - 9 C.P. = 105 × 100 91 C.P. = 1500 13 New S.P.= 1500 × 100 + 30 = 15 × 10 = Rs 150 13 100
- If an article is sold for $ 178 at a loss of 11%, what should be its selling price in order to earn a profit of 11%?
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Given in question , S.P. of article = $ 178
Loss = 11%
89% of the cost price = 178∴ 111% of the cost price = $ 178 × 111 = $ 222 89
We can find required answer with the help of given formula :C.P. = S.P. of article × 100 100 - Loss%/td> C.P. = 178 × 100 100 - 11 C.P. = 17800 = 200 89
Correct Option: D
Given in question , S.P. of article = $ 178
Loss = 11%
89% of the cost price = 178∴ 111% of the cost price = $ 178 × 111 = $ 222 89
We can find required answer with the help of given formula :C.P. = S.P. of article × 100 100 - Loss%/td> C.P. = 178 × 100 100 - 11 C.P. = 17800 = 200 89 S.P. = 200 × 100 + 11 = Rs. 222 100
