Question 2
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The incomes of two Companies X and Y in 2000 were in the ratio of 3:4 respectively. What was the respective ratio of their expenditures in 2000 ?
- A 7 : 22
- B 14 : 19
- C 15 : 22 Correct
- D 27 : 35
- E 33 : 40
Correct Answer: Option C
Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.
And let the expenditures in 2000 of Companies X and Y be E1 and E2 respectively.
Then, for Company X we have:
| 65 = | 3x - E1 | x 100  |
65 | = | 3x | - 1 | ||||
| E1 | 100 | E1 |
E1 = 3x x (100/165) ...(i)
For Company Y we have:
| 50 = | 4x - E2 | x 100 |
50 | = | 4x | - 1 | ||||
| E2 | 100 | E2 |
E2 = 4x x (100/150) .... (ii)
From (i) and (ii), we get:
| E1 | = |
|
= | 3 x 150 | = | 15 | ||||||
| E2 |
|
4 x 165 | 22 |
(Required ratio).
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