Q14 of 54 Page 77

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

Ratio of monthly pocket money of Ravi and Sanjeev = 5:7

Let ratio be x


Monthly pocket money of Ravi = 5x


Monthly pocket money of Sanjeev = 7x


Ratio of expenditures = 3:5


Let ratio be y


Monthly expenditures of Ravi = 3y


Monthly expenditures of Sanjeev = 5y


Monthly pocket money = Monthly expenditures + Monthly savings


In the case of Ravi


5x = 3y + 80


5x – 3y = 80 ……(1)


In the case of Sanjeev


7x = 5y + 80


7x – 5y = 80 ……(2)


Eliminate (1) and (2)


(5x – 3y = 80) …… multiply by 5


(7x – 5y = 80) …… multiply by 3



4x = 160


x = 40


Monthly pocket money of Ravi = 5×40 = 200


Monthly pocket money of Sanjeev = 7×40 = 280


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