A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was INR 12300/- what was the difference between B’s share and C’s share in the profit

INR 900/-
INR 800/-
INR 600/-
INR 400/-
INR 700/-
Explanation:

A:B = 5:3

B:C = 2:3

A:B:C = 10:6:9

Ratio of annual profit of A, B and C

=(10×12) : (6×12) : (9×6)

=20:12:9

Let the common ratio be x.

According to question,

20x+12x+9x=12300

41x=12300

x=INR 300/-

∴ Difference between B's share and C's share in the profit = 12x-9x=3x

=3x300

=INR 900/-

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