Question
The total of two numbers ‘u’ and ‘v’ is 600. If
‘u’ is reduced by 12% and ‘v’ is increased by 18%, both become equal. Find the value of ‘v’.Solution
ATQ,
u + v = 600 ……(i)
ATQ,
0.88 × u = 1.18 × v
Or, u = (1.18 / 0.88) × v
So, u = (59v / 44)
Put the value of ‘u’ in equation (i), we get,
(59v/44) + v = 600
Or, (103v/44) = 600
Or, v = 600 × (44/103)
So, v = 256.70
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