Question

6. The incomes of A and B are in the ratio 5:3, their expenditures are in the ratio 8 : 5 and their
saving are in the ratio 2 : 1. If their total saving of a year is Rs.3600. find the monthly income of A​

Answer 1

Answer:

A's income =12000

Step-by-step explanation:

let A's and B's income be 5y and 3y respectively. and their expenditure be 8z and 5z respectively.

let their savings be 2x and x respectively.

ATQ

2x+x=3600

x=1200

now,

5y-8z=2x

5y-8z=2400.....(1)

&. 3y-5z=x

3y-5z=1200......(2)

multiply eqn (1) by 5 and eqn (2) by 8 and subtract eqn (2) from eqn (1)

on solving we get

y = 2400

hence

A's income =5y =5*2400=12000.

Answer 2

Step-by-step explanation:

here given that total saving in the year is 3600 so the monthly saving of A and B is 200 and 100 respectively (in above question given their saving ratio so their monthly saving become 300)

Now we know that income=expenditures+saving

so according to question 5x-200/3x-100=8/5

x=200

so the monthly income of A =5*200=1000

thank you