Question
Aβ, βBβ and βCβ started a business by
investing Rs. 8,000, Rs. 9,500, and Rs. 7,500, respectively such that βBβ invested for 2 months more than βCβ and 6 months less than βAβ. If the ratio of profit share of βAβ to the average of profit share of βB βand βCβ together is 50:27, respectively, then find the time for which βBβ invested his sum.Solution
According to the question: Let the number of months for which βCβ invested his sum = βxβ months Then, number of months for which βBβ invested his sum = (x + 2) months Number of months for which βAβ invested his sum = x + 2 + 6 = (x + 8) months So, the ratio of profit shares of βAβ, βBβ, and βCβ, respectively: = {8000 Γ (x + 8)}:{9500 Γ (x + 2)}:{7500 Γ x} = (8000x + 64000):(9500x + 19000):(7500x) Average of profit share of βBβ and βCβ: = (9500x + 7500x + 19000) Γ· 2 = Rs. (8500x + 9500) According to the question: (8000x + 64000):(8500x + 9500) = 50:27 Or, 50(8500x + 9500) = 27(8000x + 64000) Or, 425000x + 475000 = 216000x + 1728000 Or, 209000x = 1253000 So, x = 6.00 So, the number of months for which βBβ invested = x + 2 = 6 + 2 = 8 months
Find which one of the given words cannot be made from the letters of the given word.
β FRIGHTMENT β
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