Question
If 450 customers from branches P and Q together are
transferred to branch S, of which 180 open savings-only accounts and the remaining open current-only accounts in branch S, then what will be the new ratio of savings-only to current-only customers in branch S ? (Assume no other changes in any branch.)Solution
ATQ, From the conditions, we can fill the table as follows: Branch P: Savings-only = 560, Current-only = 480, Loan-only = 320, Total = 1360 Branch Q: Savings-only = 900, Current-only = 600, Loan-only = 300, Total = 1800 Branch R: Savings-only = 900, Current-only = 540, Loan-only = 360, Total = 1800 Branch S: Savings-only = 1260, Current-only = 504, Loan-only = 336, Total = 2100 Branch T: Savings-only = 1350, Current-only = 640, Loan-only = 260, Total = 2250 Existing in S: Savings-only = 1260 Current-only = 504 Out of 450 new customers in S: Savings-only = 180 Current-only = 450 − 180 = 270 New Savings-only in S = 1260 + 180 = 1440 New Current-only in S = 504 + 270 = 774 Required ratio = 1440 : 774 Simplify: Divide by 6 → 240 : 129 Divide by 3 → 80 : 43 So ratio = 80 : 43
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