Question
βAβ, βBβ and βCβ divide a certain sum of
money among themselves. The average of the amount with them is Rs. 3400. Share of βAβ is 25% more than share of βBβ and 37.5% less than share of βCβ. What is the share of βBβ (in Rs.)?Solution
Let share of βBβ = Rs. 80x Share of βAβ = 80x + {25% of 80x} = Rs. 100x Share of βCβ = (8/5) Γ 100x = Rs. 160x Total amount with βAβ, βBβ and βCβ, together = 3400 Γ 3 = Rs. 10200 So, 100x + 80x + 160x = 10200 Or, 340x = 10200 Or, x = 30 So, share of βBβ = 80x = 80 Γ 30 = Rs. 2400
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