Monthly incomes of Aand B are in the ratio of 4 : 3 and their savings are in ratio of 3 : 2. If the expenditure of each will be Rs.600, what will be the monthly income of B ?

2400

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1170

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1500

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1800

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Solution

The correct option is C 1800
Income = Expenditure + Savings
Let there Incomes are 4x and 3x and there
savings are 3y and 2y
Hence for A: $4 x = 3 y + 600$
And for B: $3 x = 2 y + 600$
Therefore, $4 x - 3 y = 600$ ...(i)
and $3 x - 2 y = 600$ ...(ii)
From eqn. (i) and (ii)
$\Rightarrow 4 x - 3 y = 3 x - 2 y$
$\Rightarrow x = y$
$∴ 4 x - 3 x = 600$
$\Rightarrow x = 600$
Then, the income of $A = 4 \times 600 = R s .2400$
and income of $B = 3 \times 600 = R s .1800$

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