To calculate Manu's required monthly earnings from month ten, first determine the total annual savings target. With a monthly savings average of ₹550, the annual savings required are:
Annual Savings:
₹550/month × 12 months = ₹6,600
Next, calculate savings for the initial nine months. Manu earns ₹4,000 per month and spends ₹3,500, resulting in monthly savings of:
Monthly Savings (First 9 Months):
₹4,000 - ₹3,500 = ₹500
Total savings accumulated over the first nine months are:
Total Savings (First 9 Months):
₹500/month × 9 months = ₹4,500
The remaining savings needed to reach the annual goal are:
Remaining Savings Needed:
₹6,600 - ₹4,500 = ₹2,100
For the subsequent three months (months ten through twelve), Manu's expenses increase to ₹3,700 per month. To meet the remaining savings goal, his monthly savings during this period must be:
Required Savings per Month (Last 3 Months):
₹2,100 / 3 = ₹700
Therefore, to achieve the required savings from month ten onwards, his monthly earnings will be:
Required Monthly Earnings:
(Required Savings per Month + Monthly Expenses) = ₹700 + ₹3,700 = ₹4,400
Consequently, Manu must earn ₹4,400 per month from the tenth month onwards to meet his annual savings objective.
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