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The ratio of income and expenditure is 6 ∶ 5. Income increases by 40% and expenditure decreases by 20%. If the initial expenditure is Rs. 4,50,000. Fi
Question

The ratio of income and expenditure is 6 ∶ 5. Income increases by 40% and expenditure decreases by 20%. If the initial expenditure is Rs. 4,50,000. Find the final saving (in Rs.)

A.

3,96,000

B.

3,84,000

C.

3,90,000

D.

3,69,000

Correct option is A

Given:

Ratio of income : expenditure = 6 : 5

Initial expenditure = ₹4,50,000

Income increases by 40%

Expenditure decreases by 20%

Concept Used:

Saving = Income – Expenditure

Formula Used:

Initial income = 65× \frac{6}{5} \times​ Expenditure

Final income = Initial income × 1.40

Final expenditure = Initial expenditure × 0.80

Final saving = Final income - Final expenditure

Solution:

Initial income = 65×4,50,000\frac{6}{5} \times 4,50,000​ = ₹5,40,000

Final income after 40% increase

= 5,40,000 × 1.40 = ₹7,56,000

Final expenditure after 20% decrease

= 4,50,000 × 0.80 = ₹3,60,000

Final saving:

= 7,56,000 - 3,60,000 = ₹ 3,96,000

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