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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. - ICSE Class 10 - Mathematics

ConceptRatio and Proportion Example

#### 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?

#### APPEARS IN

Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7A | Q: 12
2011-2012 (March) (with solutions)
Question 1.2 | 3.00 marks

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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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