Question 3
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If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was ₹ 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)
- A ₹ 240 crores
- B ₹ 171 crores
- C ₹ 120 crores
- D ₹ 102 crores Correct
- E None of these
Correct Answer: Option D
Let the expenditures of each companies X and Y in 1996 be ₹ x crores.
And let the income of Company X in 1996 be ₹ z crores.
So that the income of Company Y in 1996 = ₹ (342 - z) crores.
Then, for Company X we have:
| 40 = | z - x | x 100  |
40 | = | z | - 1 | ||
| x | 100 | x |
x = (100z/140) ....(i)
Also, for Company Y we have:
45 = (342 - z) x 100 / x
| |
45 | = | (342 - z) | - 1 | ||||
| 100 | x |
x = (342 -z) x(100) /(145) ..... (ii)
From (i) and (ii), we get:
| 100z | = | (342 - z) x 100 | z = 168. |
| 140 | 145 |
Substituting z = 168 in (i), we get : x = 120.
Total expenditure of Companies X and Y in 1996 = 2x
= ₹ 240 crores.
Total income of Companies X and Y in 1996
= ₹ 342 crores.
Total profit = ₹ (342 - 240) crores = ₹ 102 crores.
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