Question
Raj invested Rs.'x' and Mohan invested Rs.7000 in a
partnership. After 5 months, Raj increased his investment by 50% and after 7 months Mohan decreased the same by 30%. If at the end of the year, the total profit is Rs.3020, Out of which the profit of Raj is Rs.1550. Find the value of 'x'.Solution
ATQ,
Given: Raj: x for 5 months, then 1.5x for 7 months Contribution = 5x+1.5x×7=5x+10.5x=15.5x Mohan: 7000 for 7 months, then 4900 for 5 months Contribution = 7000×7+4900×5=49000+24500=73500 Profit ratio: Raj : Mohan = 1550 : (3020–1550) = 1550 : 1470 = 155 : 147 Set up equation: 
‘x’ varies directly as ‘y’. If at x = 24 the value of ‘y’ is 25% more than ‘x’, then find the value of ‘x’ when ‘y’ = 55.
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