What is Nikita's share in the profit of ₹ 50000 earned in the business run by her in partnership with Shalini? (Bank P.O., 2009) I. Nikita invested an amount 150% of the amount invested by Shalini. II. Amount invested by Shalini is two-thirds of the amount invested by Nikita.
Answer
SELF-PRACTICE — the source book printed no answer.
Nothing is invented here, so this question has no answer on record.
Explanation
I. Let Shalini's capital $=₹x$. Then, Nikita's capital $=150\%$ of ₹$x=₹\frac{3x}{2}$. $\therefore$ Nikita : Shalini $=\frac{3x}{2}:x=3:2$. $\therefore$ Nikita's share $=₹\left(50000\times\frac{3}{5}\right)=₹30000$. II. Let Nikita's capital $=₹x$. Then, Shalini's capital $=₹\left(\frac{2x}{3}\right)$. Nikita : Shalini $=x:\frac{2x}{3}=3:2$. Again, Nikita's share can be calculated. Thus, either I alone or II alone is sufficient to get the answer. $\therefore$ Correct answer is (c).
Explanation as extracted from the printed page; notation may be imperfect.