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Question

If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)
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A
Rs. 240 crores
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B
Rs. 171 crores
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C
Rs. 120 crores
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D
Rs. 102 crores
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Solution

The correct option is D Rs. 102 crores
Let the expenditures of each companies X and Y in 1996 be Rs. x crores.
And let the income of Company X in 1996 be Rs. z crores.
So that the income of Company Y in 1996 = Rs. (342 - z) crores.
Then, for Company X we have:
40=zxx×10040100=zx1x=100z140...(i)
Also, for Company Y we have:
45=(342z)x×10045100=(342z)x1x=(342z)×100145....(ii)
From (i) and (ii), we get:
100z140=(342z)×100145z=168
Substituting z = 168 in (i), we get : x = 120.
Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores.
Total income of Companies X and Y in 1996 = Rs. 342 crores.
Total profit = Rs. (342 - 240) crores = Rs. 102 crores.

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