Question
Nisha and Neelam start a business with initial
investments of ₹p and ₹1.5p, respectively. After six months, Nisha increases her investment by 25% of her initial amount, and Pragya joins the business with an investment of ₹4000. After another six months (i.e., at the end of the first year), Nisha and Neelam reduce their investments by ₹1000 and ₹2000, respectively. At the end of two years, the profit share ratio between Pragya and Neelam is given as 15:q. Determine the value of p in terms of q.Solution
Ratio of share of profit of Nisha, Neelam and Pragya =
= [p*6 + 1.25p*6 + (1.25p - 1000)*12] : [1.5p*12 + (1.5p - 2000)*12] : [4000*18]
= (28.5p - 12000):(36p - 24000):72000
Profit share of Pragya to Neelam = 15:q
72000:(36p - 24000) = 15:q
400:(3p - 2000) = 1:q
400q = 3p - 2000
p = 400(q + 5)/3
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