Profit and Loss
- Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was $ 400, then the value of the consignment was
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Given that , Total profit = $ 400
Let the price of the sent items be y.
According to the question,2y × 5 - y × 2 = 400 3 100 3 100 ⇒ 10y - 2y = 400 × 100 3 3
Correct Option: A
Given that , Total profit = $ 400
Let the price of the sent items be y.
According to the question,2y × 5 - y × 2 = 400 3 100 3 100 ⇒ 10y - 2y = 400 × 100 3 3 ⇒ 8y = 40000 3 ⇒ y = 4000 × 3 = $ 15000 8
- A car and a jeep were sold for $ 121000 each. The car was sold at a loss of 20% while the jeep at a gain of 20%. The entire transaction resulted in
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Given in question , Total SP of car and jeep = 240000
CP of car = $ 
100 × 120000 
= $ 150000 80
Correct Option: C
Given in question , Total SP of car and jeep = 240000
CP of car = $ 100 × 120000 = $ 150000 80 CP of jeep = $ 100 × 120000 = $ 100000 120
Total CP = 150000 + 100000 = $ 250000
∴ Loss = Total CP - Total SP
∴ Loss = (250000 – 240000) = $ 10000
- The total cost price of two watches is $ 840. One is sold at a profit of 16 percent and the other at a loss of 12 percent. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains, is
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The total cost price of two watches = $ 840.
Let the cost price of first watch which sold on 16 percent be y.
Then cost price of second watch = (840 – y )
According to the question ,y × 116 + (840 - y) × 88 = 840 100 100 ⇒ 116y + 73920 - 88y = 840 100 100
Correct Option: A
The total cost price of two watches = $ 840.
Let the cost price of first watch which sold on 16 percent be y.
Then cost price of second watch = (840 – y )
According to the question ,y × 116 + (840 - y) × 88 = 840 100 100 ⇒ 116y + 73920 - 88y = 840 100 100
⇒ 116y – 88y = 84000 – 73920
⇒ 28y = 10080∴ y = 10080 = $ 360 28
- A cloth merchant sold half of his cloth at 20% profit, half of the remaining cloth at 20% loss and the rest was sold at his cost price. In the total transaction, his gain or loss will be
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Let Total CP of clothes = $ 100
Total SP = $ 50 × 120 + 25 × 80 + 25 100 6
Total SP = $ (60 + 20 + 25) = $ 105
∴ Gain = Total SP - Total CP = 105 - 100 = $ 5
Correct Option: A
Let Total CP of clothes = $ 100
Total SP = $ 50 × 120 + 25 × 80 + 25 100 6
Total SP = $ (60 + 20 + 25) = $ 105
∴ Gain = Total SP - Total CP = 105 - 100 = $ 5∴ Gain % = 5 × 100 100
- When the price of cloth was reduced by 25%, the quantity of cloth sold increased by 20%. What was the effect on gross receipt of the shop?
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Using the given formula ,
Given Here , a = 20% , b = 25%∴ Required percent effect = a - b - a × b % 100
Correct Option: D
Using the given formula ,
Given Here , a = 20% , b = 25%∴ Required percent effect = a - b - a × b % 100 Required percent effect = 20 - 25 - 20 × 25 % 100
Required percent effect = (–5 – 5)% = – 10% (10% decrease)
Note :- Negative sign shows decrease
