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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

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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 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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