Question

monthly income of person A and B are in ratio 4 : 3 and their monthly expensive are in the ratio 13 : 9 if each saves ₹1500 per month find the income of A and B

Answer 1

Savings:
4x-13y=1500.......(i)
3x-9y=1500......(ii)

Multiplying eqation (i) by 3 and equation (ii) by 4 we get

12x-39y=4500......(iii)
12x-36y=6000....(iv)

(iv) - (iii), we get
3y=1500
y=500

substituting in (i)
4x-7500=1500
x=7500/4
x=1875

So, monthly income of A = 4x= 4x1875 = 7500
monthly income of B= 3x= 3x1875 = 5625