Question
The sum of two values, ‘m’ and ‘n’, is 400. When
‘m’ is decreased by 10% and ‘n’ is increased by 25%, both become equal. Find the value of ‘n’.Solution
ATQ,
m + n = 400 ……(i)
ATQ,
0.90 × m = 1.25 × n
Or, m = (1.25 / 0.90) × n
So, m = (25n / 18)
Put the value of ‘m’ in equation (i), we get,
(25n/18) + n = 400
Or, (43n/18) = 400
Or, n = 400 × (18/43)
So, n = 167.44
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