#### Question

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.

#### Solution

Let the monthly pocket money of Ravi and Sanjeev be 5x and 7x respectively.

Let their expenditures be 3y and 5y respectively.

Ravi’s savings = 5x – 3y

Sanjeev’s savings = 7x – 5y

By the given information,

5x – 3y = 80 … (1)

7x – 5y = 80 … (2)

From (1) and (2), we have

5x – 3y = 7x – 5y

⇒ x = y

From equation (1),

5x – 3x = 80

⇒ 2x = 80

⇒ x = 40

Hence,

Monthly pocket money of Ravi = 5 × 40 = Rs. 200

Monthly pocket money of Sanjeev = 7 × 40 = Rs. 280

Is there an error in this question or solution?

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Solution 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. Concept: Ratio and Proportion Example.

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