What is Neeta’s share in the profit of ` 50000 earned at the end of 2 years in a joint business run by Neeta, Seeta and Geeta? I. Neeta invested ` 85000 to start the business. II. Seeta and Geeta joined Neeta’s business after six months, investing amounts in the ratio of 3 : 5. III. Total amount invested by Seeta and Geeta is ` 2.5 lakh.
(a)Only II
(b)Only III
(c)Only either II or III
(d)Information in all the three statements is required to answer the question
(e)The question cannot be answered even with the information in all the three statements
Answer
Answer (as printed): D
Explanation
All the three statements I, II and III are required to calculate the ratio of profits of Neeta, Seeta and Geeta, as shown below: Neeta's investment $=₹85000$. Seeta's investment $=₹\left(250000\times\frac{3}{8}\right)=₹93750$. Geeta's investment $=₹(250000-93750)=₹156250$. $\therefore$ Neeta : Seeta : Geeta $=(85000\times24):(93750\times18):(156250\times18)=2040000:1687500:2812500=272:225:375$. So, Neeta's share $=₹\left(50000\times\frac{272}{872}\right)$. $\therefore$ Correct answer is (d).
Explanation as extracted from the printed page; notation may be imperfect.