Question 4
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If the incomes of two Companies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999 ?
- A 6 : 5
- B 5 : 6
- C 11 : 6
- D 16 : 15 Correct
- E 15 : 16
Correct Answer: Option D
Let the incomes of each of the two Companies X and Y in 1999 be Rs. x.
And let the expenditures of Companies X and Y in 1999 be E1 and E2 respectively.
Then, for Company X we have:
| 50 = | x - E1 | x 100  |
50 | = | x | - 1 | ||
| E1 | 100 | E1 |
x = 150E1 /100 .... (i)
Also, for Company Y we have:
| 60 = | x - E2 | x 100 |
60 | = | x | - 1 | ||
| E2 | 100 | E2 |
x = 160E2 / 100 ... (ii)
From (i) and (ii), we get:
| 150 | E1 = | 160 | E2 |
E1 | = | 160 | = | 16 | |
| 100 | 100 | E2 | 150 | 15 |
(Required ratio).
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