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