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Q.

The monthly pocket money of Ravi and Sanjeev are in the ratio 5:7. Their expenditures are in ratio 3:5. If each saves Rs.80 every month, find their monthly pocket money.

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a

Rs. 200 and Rs. 280

b

Rs. 400 and Rs. 480

c

Rs. 300 and Rs. 380

d

Rs. 500 and Rs. 580

answer is A.

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Detailed Solution

Given,
Monthly pocket money of Ravi : Monthly pocket money of Ravi = 5:7
Let, monthly pocket money of Ravi = 5x Monthly pocket money of Sanjeev = 7x
Expenditures of Ravi : Expenditures of Ravi = 3:5
Now, savings of both = Rs. 80.
As, Total money – saving = Expenditures
Thus,

\frac{5 x - 80}{7 x - 80} = \frac{3}{5}

25 x - 400 = 21 x - 240

25 x - 21 x = 400 - 240

4 x = 160

x = 40

So, the pocket money of Rave,

=

5x

= 5 \times 40

= Rs . 200

Pocket money of Sanjeev

= 7 x

= 7 \times 40

= Rs . 280

Option 1 is correct.

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The monthly pocket money of Ravi and Sanjeev are in the ratio 5:7. Their expenditures are in ratio 3:5. If each saves Rs.80 every month, find their monthly pocket money.