# Suman and Sona invested an amount for a year in the ratio of 2 : 5. If the next year Suman invested 20% more money and Sona took back 10% of her inves

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Suman and Sona invested an amount for a year in the ratio of 2 : 5. If the next year Suman invested 20% more money and Sona took back 10% of her investment. Suman gets Rs. 3240 from the total profit in the next year. Find the total profit of next year.

1. Rs. 9000
2. Rs. 9250
3. Rs. 9300
4. Rs. 9315
5. None of these

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Correct Answer - Option 4 : Rs. 9315

Given

Current ratio of an amount invested by Suman and Sona for a year = 2 : 5

Suman invested more of her investment for the second year = 20%

Sona took back of her investment for the second year = 10%

Formula used

Investment = capital × time

Calculation

Current ratio of next year = Suman’s Investment : Sona’s Investment

⇒ 2 × 120% : 5 × 90%

⇒ 8 : 15

Suman’s profit = Rs. 3450

Total Profit = 3240/8 × 23

⇒ Rs. 9315

∴ Total profit earned by the end of the year is Rs. 9315.