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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. - Mathematics

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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

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APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(A) | Q: 12 | Page no. 87
2011-2012 (March) (with solutions)
Question 1.2 | 3.00 marks