Question
βAβ, βBβ and βCβ started a business by
investing Rs. 2,500, Rs. 3,000 and Rs. 2,000, respectively. After 6 months, βBβ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 1,36,950, 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. 500, 37800 II. 1000, 39200 III. 1500, 40550Solution
For I: Ratio of the profits received by βAβ, βBβ and βCβ = (2500 Γ 12):{(3000 Γ 6) + (2500 Γ 6)}:(2000 Γ 12) = 10:11:8 Therefore, profit share of βCβ = 136950 Γ (8/29) = Rs. 37,800 Therefore, I is true. For II: Ratio of the profits received by βAβ, βBβ and βCβ = (2500 Γ 12):{(3000 Γ 6) + (2000 Γ 6)}:(2000 Γ 12) = 5:5:4 Therefore, profit share of βCβ = 136950 Γ (4/14) = Rs. 39,200 Therefore, II is true. For III: Ratio of the profits received by βAβ, βBβ and βCβ = (2500 Γ 12):{(3000 Γ 6) + (1500 Γ 6)}:(2000 Γ 12) = 10:9:8 Therefore, profit share of βCβ = 136950 Γ (8/27) = Rs. 40,550 Therefore, III is false. Hence, Only I and II follows
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