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Question

Two articles A and B are sold for Rs. 1,167 making 5% profit on A and 7% profit on B. If the two articles are sold for Rs. 1,165, a profit of 7% is made on A and a profit of 5% is made on B. Find the cost price of each article.

A
A= Rs. 200 and B= Rs. 300
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B
A= Rs. 600 and B= Rs.700
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C
A= Rs.100 and B= Rs.200
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D
A= Rs. 500 and B= Rs. 600
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Solution

The correct option is D A= Rs. 500 and B= Rs. 600
Let the cost price of A= Rs. x and that of B= Rs. y
Given,
They are sold for Rs. 1,167 making 5% profit on A and 7% profit on B
1.05x+1.07y=1167 ------ (1)
Also, when the two articles are sold for Rs. 1,165 a profit of 7% is made on A and a profit of 5% is made on B.
1.07x+1.05y=1165 ------ (2)
Multiplying equation (1) with 1.07 we get, 1.1235x+1.1449y=1248.69 ----- equation (3)

Multiplying equation (2) with 1.05 we get, 1.1235x+1.1025y=1223.25 ----- equation (4)

Subtracting equation (4) from (3), we get 0.0424y=25.44y=600


Substituting y=600 in the equation (2), we get 1.07x+1.05(600)=1165x=500
Hence, cost price of A is Rs. 500 and of B is Rs. 600


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