Profit and Loss
- A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in percentage is a
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Here , Error = 125
Using the given formula ,Profit percent = Error × 100 (1000 - Error) Profit percent = 120 × 100 875
Correct Option: C
Here , Error = 125
Using the given formula ,Profit percent = Error × 100 (1000 - Error) Profit percent = 120 × 100 875 Profit percent = 100 = 14 2 % 7 7
- Gopi goes from place A to B to buy an article costing 15% less at B, although he spends Rs. 150 on travelling, still he gains Rs. 150 compared to buying it at A. His profit percent is :
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Let Cost price of article at place A = Rs. y
At 15% less ,∴ Price at place B = Rs. 85y = Rs. 17y 100 20
According to the question,y - 
17y + 150 
= 150 20 ⇒ y - 17y = 300 20 ⇒ 20y - 17y = 300 20 ⇒ 3y = 300 20 ⇒ y = 300 × 20 = Rs. 2000 3 ∴ Price at place B = 17 × 2000 = Rs. 1700 20
Actual price = Rs. (1700 + 150) = Rs. 1850
Profit = Rs. (2000 – 1850) = Rs. 150
Correct Option: C
Let Cost price of article at place A = Rs. y
At 15% less ,∴ Price at place B = Rs. 85y = Rs. 17y 100 20
According to the question,y - 17y + 150 = 150 20 ⇒ y - 17y = 300 20 ⇒ 20y - 17y = 300 20 ⇒ 3y = 300 20 ⇒ y = 300 × 20 = Rs. 2000 3 ∴ Price at place B = 17 × 2000 = Rs. 1700 20
Actual price = Rs. (1700 + 150) = Rs. 1850
Profit = Rs. (2000 – 1850) = Rs. 150∴ Profit percent = Rs. 150 × 100 = 7.5% 2000
- Rama mixes 20% of kerosene to his petrol and then he sells the whole mixture at the price of petrol. If the cost price of the kerosense is 40% of the CP of petrol. What is the net profit%?
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Suppose C.P. of petrol = Rs. 100 litre
∴ C.P. of kerosene = Rs. 40 litre
Price of 1 litre petrol and 200 ml kerosene = Rs. 100 + 8 = 108
Gain = Rs. (120 – 108) = Rs.12Correct Option: A
Suppose C.P. of petrol = Rs. 100 litre
∴ C.P. of kerosene = Rs. 40 litre
Price of 1 litre petrol and 200 ml kerosene = Rs. 100 + 8 = 108
Gain = Rs. (120 – 108) = Rs.12∴ Gain percent = 12 × 100 = 11.11% 108
- A vegetable seller sells his vegetables at 20% profit. At the same time he uses false weights, which is 10% less than the actual weight. What will be his total gain percentage?
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C.P. of vegetables = Rs. 100 per kg.
∵ S.P. of 900 gm. of vegetables = Rs. 120∴ S.P. of 1000 gm. of vegetables = 120 × 1000 = Rs. 133.33 900
Gain = 133.33 - 100 = 33.33
Correct Option: C
C.P. of vegetables = Rs. 100 per kg.
∵ S.P. of 900 gm. of vegetables = Rs. 120∴ S.P. of 1000 gm. of vegetables = 120 × 1000 = Rs. 133.33 900
Gain = 133.33 - 100 = 33.33∴ Gain % = 33.33 × 100 = 33.33% 100
- By selling an umbrella for Rs. 30, a shop-keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10%. Find his gain percent during the sale season.
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Given that , Selling price of an umbrella = Rs. 30
At gains 20% ,C.P. of umbrella = 100 × 30 = Rs. 25 120 S.P. of umbrella after 10% discount = Rs. 30 × 90 = Rs. 27 100
Gain = 27 - 25 = Rs. 2
Correct Option: A
Given that , Selling price of an umbrella = Rs. 30
At gains 20% ,C.P. of umbrella = 100 × 30 = Rs. 25 120 S.P. of umbrella after 10% discount = Rs. 30 × 90 = Rs. 27 100
Gain = 27 - 25 = Rs. 2∴ Required gain percent = 2 × 100% 25 Required gain percent = 200 = 8% 25
