Question

28. A's income 50% more than B's. If A's income is Rs. 75, what is B's income ? pls tell method also​

Answer 1

Answer:

A’s income is 60% of B’s income, and A’s expenditure is 70% of B’s expenditure. If A’s income is 75% of B’s expenditure, what is the ratio of A’s saving to B’s saving?

Solution:

Let, the B's income is x and expenditure is y.

Then,

A's income= 60% of B's income

= (60/100)× x

= 0.6x

And A's expenditure= 70% of B's expenditure

= (70/100)× y

= 0.7y

Given, A's income = 75% of B's expenditure

=> 0.6x = (75/100) × y

=> 0.6x = 0.75y

=> 4x = 5y

=> 0.8x = y ………………………(1)

Now, A's savings= A's income - A's expenditure

=> A's savings = 0.6x - 0.7y

Similarly, B's savings = x-y

Now, the ratio is

A's savings/B's savings = (0.6x-0.7y)/(x-y)

Substituting the value of y= 0.8x from equation (1)

= {0.6x-(0.7×0.8x)}/{x-0.8x}

= (0.6x-0.56x)/0.2x

= 0.04x/0.2x

= 0.2

=1/5

So, the ratio of A's savings to B's savings is 1:5.