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The ratio of income of P and Q is 3 : 4 and the ratio of their expenditures is 2 : 3. If both of them save ₹ 6000, the income of P is
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- ₹ 20000
- ₹ 12000
- ₹ 18000
- ₹ 24000
Correct Option: C
Let the income of P and Q be ₹ 3x and 4x respectively.
Again, let their expenditures be ₹ 2y and 3y respectively.
According to the question.
3x – 2y = 6000 ...(i)
and 4x – 3y = 6000 ...(ii)
From equations (i) and (ii)
3x – 2y = 4x – 3y
or, 4x – 3x = 3y – 2y
or, x = y
From equation (i),
⇒ 3x – 2x = 6000
x = 6000
The income of P = ₹ 3x
= ₹ (3 × 6000) = ₹ 18000
