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Question

Quantitative Aptitude Question on Profit and Loss

Manu earns ₹4000 per month and wants to save an average of ₹550 per month in a year. In the first nine months, his monthly expense was ₹3500, and he foresees that, tenth month onward, his monthly expense will increase to ₹3700. In order to meet his yearly savings target, his monthly earnings, in rupees, from the tenth month onward should be

A

4200

B

4400

C

4300

D

4350

Answer

4400

Explanation

Solution

To meet his yearly savings target, Manu needs to adjust his monthly earnings starting from the tenth month onward. Let's break down the calculation step by step: 1. Manu's target is to save ₹550 per month on average. 2. In the first 9 months, his monthly earnings are ₹4000, and his expenses are ₹3500. So, his actual savings per month in this period are ₹4000 - ₹3500 = ₹500. 3. He falls short of his savings target by ₹550 - ₹500 = ₹50 per month. 4. Over the first 9 months, he falls short by a total of ₹50 * 9 = ₹450. Now, let's consider the next 3 months: 5. Manu's expenses for the next 3 months are ₹3700 per month. 6. To meet his savings target of ₹550 per month, his income for these 3 months should be ₹3700 + ₹550 = ₹4250 per month. 7. Additionally, he needs to cover the ₹450 he was short of in the first 9 months over the next 3 months. 8. The additional amount needed per month to cover the shortfall is ₹450 / 3 = ₹150. Finally, to determine his income for the last 3 months: 9. His required income for the next 3 months is ₹4250 + ₹150 = ₹4400 per month. Therefore, in order to meet his yearly savings target of ₹550 per month, Manu's monthly earnings from the tenth month onward should be ₹4400.