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Question

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 Rs 400. Find the value of the consignment.


A

15,000

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B

20,000

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C

1,20,000

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D

12,000

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Solution

The correct option is A

15,000


Let the value of the consignment be Rs y
Profit on 2/3 of consignment = Rs (5 × 2 × y) / (100 × 3) = Rs 10y / 300
Loss on 1/3 of consignment = Rs (1 × y × 2) / (3 × 100) = Rs 2y / 300
According to problem
10y / 300 - 2y / 300 = 400

On multiplying by 300 we get
10y - 2y = 120000
8y = 120000
y = 120000/8
y = 15000
Therefore value of the consignment = Rs 15000


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