Question

The monthly income of A and B are in the ratio of 7:3 and their monthly expenditures are in the ratio of 13:9. If each saves ₹1500 per month,find the monthly income of each..... .... please help me guys..!!

Answer 1

now you just need to solve eq. by any method

Answer 2

Given:-

• Ratio of monthly income => 7 : 3
• Ratio of saving per monthly => 13 : 9

To find:-

• Find the monthly income of both A and B.. ?

Solutions:-

• Let the monthly income of A = 7x
• Let the monthly income of B = 3x

Therefore,

• Let the ratio of saving per monthly be 13y and 9y

• Monthly saving of A = 7x - 13y
• Monthly saving of A = 3x - 9y

But, each saving Rs 1500 per months.

=> 7x - 13y = 1500 ........(i).

=> 3x - 9y = 1500 .........(ii).

Multiplying Eq. (i) by 2 and Eq. (ii) by 13. We get.

=> 14x - 26y = 3000 ........(iii).

=> 39x - 26y = 19500 .........(iv).

Subtracting Eq. (iii) from Eq. (iv), we get.

${14x} \: - \: {26y} \: \: = \: \: {3000} \\ {39x} \: - \: {26y} \: \: = \: \: {19500} \\ \underline{ \: \: - \: \: \: \: \: \: \: + \: \: \: \: \: \: = \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ {-25x} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: \: {-16500}$

=> x = -16500/-25

=> x = 660

So,

• The monthly income of A => 7x = 7 × 660 = 4620
• The monthly income of B => 3x = 3 × 660 = 1980

Hence, the income of A and B are 4620 and 1980.