Question
Four persons βAβ, βBβ, βCβ and βDβ have
different amounts with them. βDβ has twice amount than that of βAβ. The amount βBβ has is 12.5% more than that of βDβ. The amount βCβ has is equal to the average amount all four persons have. If the sum of the average amount all four have and the amount βAβ has is Rs. 440, then find the amount βBβ has.Solution
Let βAβ has Rs. a Therefore, amount possessed by βDβ = Rs. 2a Amount possessed by βBβ = 1.125 Γ 2a = Rs. 2.25a Let the average amount possessed by all four be Rs. x Therefore, amount possessed by βBβ = Rs. x According to the question, 2.25a + 2a + a = 4x β x Or, 5.25a = 3x Or, x/a = 7/4 Therefore, a = 440 Γ 4/11 = Rs. 160 Amount possessed by βBβ = 2.25a = Rs. 360
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