The income of A is 80% of B's income, and the expenditure of A is 75% of B’s expenditure. If A’s income is 90% of B's expenditure, then the savings of A is x% more than that of B. What is the value of x?
The income of A is 80% of B's income, and the expenditure of A is 75% of B’s expenditure. If A’s income is 90% of B's expenditure, then the savings of A is x% more than that of B. What is the value of x? Correct Answer 20
Given :
The income of A is 80% of B's income
Expenditure of A is 75% of B's expenditure
A's income is 90% of B's expenditure
Calculations :
Let the income of B be '100x'
So Income of A will be '80x'
For B's expenditure
90% of B's expenditure = A's income
B's expenditure = 800x/9
For A's expenditure
A's expenditure = 75% of B's expenditure
A's expenditure = 200x/3
Now savings of A = income of A - expenditure of A
⇒ 80x - (200x/3)
⇒ 40x/3
Savings of B = Income of B - Expenditure of B
⇒ 100x - (800x/9)
⇒ 100x/9
Now
Required per cent = (40x/3) - (100x/9)/(100x/9) × 100
⇒ 20%
∴ Required percentage is 20%