Question
βAβ, βBβ and βCβ started a business by
investing Rs. 5,000, Rs. 6,000 and Rs. 4,000, respectively. After 6 months, βBβ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 2,73,050, then the profit share of βCβ will be Rs. ______. The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true: I. 1000, 75280 II. 2000, 78240 III. 3000, 81140Solution
For I: Ratio of the profits received by βAβ, βBβ and βCβ = (5000 Γ 12):{(6000 Γ 6) + (5000 Γ 6)}:(4000 Γ 12) = 10:11:8 Therefore, profit share of βCβ = 273050 Γ (8/29) = Rs. 75,280 Therefore, I is true. For II: Ratio of the profits received by βAβ, βBβ and βCβ = (5000 Γ 12):{(6000 Γ 6) + (4000 Γ 6)}:(4000 Γ 12) = 5:5:4 Therefore, profit share of βCβ = 273050 Γ (4/14) = Rs. 78,240 Therefore, II is true. For III: Ratio of the profits received by βAβ, βBβ and βCβ = (5000 Γ 12):{(6000 Γ 6) + (3000 Γ 6)}:(4000 Γ 12) = 10:9:8 Therefore, profit share of βCβ = 273050 Γ (8/27) = Rs. 81,140 Therefore, III is false. Hence, Only I and II follows

