Question
Two numbers ‘p’ and ‘q’ add up to 840. If ‘p’
is decreased by 5% and ‘q’ is increased by 10%, the values become equal. What is the value of ‘q’?Solution
ATQ,
p + q = 840 ……(i)
ATQ,
0.95 × p = 1.10 × q
Or, p = (1.10 / 0.95) × q
So, p = (22q / 19)
Put the value of ‘p’ in equation (i), we get,
(22q/19) + q = 840
Or, (41q/19) = 840
Or, q = 840 × (19/41)
So, q = 389.27
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