Trisha and Misha invested Rs 3 5 0 0 and Rs 3 0 0 0 in a business. After 7 months both added Rs 5 0 0 to their investments. If after a year the difference in their shares of profit is Rs 1 1 4 0 , find the total profit at the end of year.

Ratio of shares of profit of Trisha : Misha

⇒ 3 5 0 0 × 7 + 4 0 0 0 × 5 : 3 0 0 0 × 7 + 3 5 0 0 × 5

⇒ 7 × 7 + 4 0 : 6 × 7 + 3 5

⇒ 8 9 : 7 7

It is given that difference in their shares of profit is 1 1 4 0 :

⇒ 8 9 + 7 7 8 9 − 7 7 ​ × x = 1 1 4 0

⇒ 1 6 6 1 2 ​ × x = 1 1 4 0

⇒ x = 1 2 1 1 4 0 × 1 6 6 ​

⇒ x = Rs 1 5 7 7 0