Question

income of A and B are in the ratio of 5:6 and savings of A and B are in ratio of 3:4 and expenditure of Both A and B is 5000 respectively find the income of both A and B​

Answer 1

Let the incomes of A and B be 5M and 6M & monthly expenditures be 3N and 4N.

Both A and B saves Rs. 5000 per month.

We have to find the monthly income of A and B.

Income of A - Monthly expenditure of A = Saving per month

→ 5M - 3N = 5000 ____ (eq 1)

Similarly,

Income of B - Monthly expenditure of B = Saving per month

→ 6M - 4N = 5000 _____ (eq 2)

On multiplying (eq 1) with 6 and (eq 2) with 5, we get

→ 30M - 18N = 30000 ____ (eq 3)

→ 30M - 20N = 25000 ____ (eq 4)

Subtract (eq 3) from (eq 4)

→ 30M - 20N - (30M - 18N) = 25000 - 30000

→ 30M - 20N - 30M + 18N = - 3000

→ - 2N = - 5000

→ N = 2500

Put value of N in (eq 1)

→ 5M - 3(2500) = 5000

→ 5M - 7500 = 5000

→ 5M = 125000

→ M = 2500

So,

Income of A : 5M

→ 5(2500)

→ 12,500

Income of B : 6N

→ 6(2500)

→ 15,000

Answer 2

Answer:

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