The ratio of income of two persons is 5:3 and that of their expenditure is 9:5. Find the income of each person. If they save 1300 rupees and 900 rupees respectively?
Answers
Answer:
The ratio of income of two persons is 5:3 and that of their expenditure is 9:5. Find the income of each person. If they save 1300 rupees and 900 rupees respectively?
Step-by-step explanation:
GIVEN:
Ratio of income = 5 : 3
Let the income of the person be 5x and 3x
Ratio of expenditure = 9 : 5
Saving amount to Rs. 1300 and Rs. 900 respectively
CONCEPT:
Expenditure = Income – Saving
CALCULATION:
According to question,
Expenditure = Income – Saving
⇒ 9/5 = (5x – 1300)/(3x – 900)
⇒ 9 × (3x – 900) = (5x – 1300) × 5
⇒ 2x = 1600
⇒ x = 800
∵ Difference between their monthly income = (5x – 3x) = 2x
⇒ Difference between their monthly income = 2 × (800) = Rs. 1600
⇒ Difference between their yearly income = 12 × (1600) = Rs. 19200
∴ The difference between their yearly Incomes is Rs. 19200.
Don't make mistake in monthly income and yearly income, Here in the solution difference between their yearly income not their monthly income.