Question

The monthly incomes of amit and bharat are in the ratio of 5:4, their monthly expenses are in the ratio of 19:21, and their monthly savings are in the ratio of 37:18. If the total annual savings of amit and bharat is rs. 1,32,000, amits monthly income is

Answer 1

let there income be 5x and 4x

and expenses be 19x and21x

then , 37x+18x=132000

55x=132000

x=2400

therefore there savings is 37×2400=88800

and 18×2400=43200

now

5x-19y=88800..... (1)

4x-21y =43200....... (2)

multiply 4 in (1) and 5 in (2)

20x-76y=355200.... (3)

20x-105y= 216000..... (4)

sub (4) and (3)

29y =139200

y=4800

put this ...(1)

5x -91200=355200

x=89280

their income are.......89280×5=446400 Rs

and 4800×4 =19200