Rajan and Sajan started a business initially with Rs. 14200 and Rs.15600, respectively. If total profits at the end year is Rs.74500, what is Rajan's share in the profit?

A) Rs.39000

B) Rs.39600

C) Rs.35000

D) Rs.35500

Correct answer:
D) Rs.35500

Description for Correct answer:
Ratio of profits = Ratio of investments

Rajan's share : Sajan's share
= 14200 : 15600 = 142 : 156 = 71 : 78

Let Rajan's share = 71x
And Sajan's share = 78x

According to the question,

71x + 78x = 74500

149x = 74500
X = 74500 / 149 = 500

Rajan's share = 71x = 71 X 500 = Rs.35500


Please provide the error details in above question