# Samay and Sagar invested the amount for a year in the ratio of 3:5. After 3 months Samay invested 10% more money and after 8 months Sagar took back 15

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Samay and Sagar invested the amount for a year in the ratio of 3:5. After 3 months Samay invested 10% more money and after 8 months Sagar took back 15% of his investment. At the end of the year Samay gets Rs. 12900 of the total profit. Find the profit share of Sagar.
1. Rs. 19000
2. Rs. 17200
3. Rs. 18500
4. Rs. 16500
5. Rs. 15200

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Correct Answer - Option 1 : Rs. 19000

Lets assume Samay and Sagar invested the amount 3x and 5x respectively at the start of the year.

Samay’s total investment for a year = 3x + 3x × 10% × 9/12 = 3x(1 + 0.075) = 3.225x

Sagar’s total investment for a year = 5x - 5x × 15% × 4/12 = 5x(1 - 0.05) = 4.75x

So, the ratio of profit between Samay and Sagar = ratio of investment of Samay and Sagar

= 3.225x/4.75x = 1.29/1.9

Thus, the profit share of Sagar = (1.9/1.29) × Samay’s profit share

= (1.9/1.29) × 12900 = Rs. 19000