Question

A and B started a partnership business investing in the ratio of 2 : 5. C joined them after 3 months with an amount equal to 4/5th of B. What was their profit (in Rs.) at the end of the year if A got Rs. 16,800 as his share?

• A. 56000
• B. 100800
• C. 84000
• D. 117600

Answer 1

Answer:

C. 84000

Solution: Given : Ratio of A : B share in partnership is 2 : 5 C joined them after 3 months with 4/5th amount of B Concept used : Person's share = Investment × time period of investment Calculations : Let the amount of A be 2x Let the amount of B be 5x Amount of C = 4/5 of 5x = 4x Share of A = 2x × 12 = 24x (A worked for whole year or 12 months) Share of B = 5x × 12 = 60x (worked for whole year) Share of C = 4x × 9 = 36x (worked 3 months less than A and B) Now, ratio of shares A : B : C = 24x : 60x : 36x ⇒ 2 : 5 : 3 Now total profit will be, A's share = (2/10) of total profit Total profit = 5 × 16800 ⇒ 84000 rupees ∴ Total profit will be 84000 rupees