Question
Four persons βAβ, βBβ, βCβ, and βDβ have
different amounts with them. βDβ has twice the 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 people have. If the sum of the average amount all four have and the amount βAβ has is Rs. 1100, then find the amount βDβ 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 βCβ = Rs. x According to the question, 2.25a + 2a + a = 4x β x Or, 5.25a = 3x Or x/a = 7/4 Therefore, a = 1100 Γ 4/11 = Rs. 400 Amount possessed by βDβ = 2a = Rs. 800.
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