Question
βAβ, βBβ and βCβ started a business by
investing Rs. 3,000, Rs. 3,600 and Rs. 2,400, respectively. After 6 months, βBβ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 1,64,430, 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. 600, 45360 II. 1200, 47040 III. 1800, 48620Solution
For I: Ratio of the profits received by βAβ, βBβ and βCβ = (3000 Γ 12):{(3600 Γ 6) + (3000 Γ 6)}:(2400 Γ 12) = 10:11:8 Therefore, profit share of βCβ = 164430 Γ (8/29) = Rs. 45,360 Therefore, I is true. For II: Ratio of the profits received by βAβ, βBβ and βCβ = (3000 Γ 12):{(3600 Γ 6) + (2400 Γ 6)}:(2400 Γ 12) = 5:5:4 Therefore, profit share of βCβ = 164430 Γ (4/14) = Rs. 47,040 Therefore, II is true. For III: Ratio of the profits received by βAβ, βBβ and βCβ = (3000 Γ 12):{(3600 Γ 6) + (1800 Γ 6)}:(2400 Γ 12) = 10:9:8 Therefore, profit share of βCβ = 164430 Γ (8/27) = Rs. 48,520 Therefore, III is false. Hence, Only I and II follows
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