Pankaj, Qadir and Rohit open a hardware store and keep their money in it for the whole year. Qadir invests half as much as Rohit, and Pankaj invests three times as much as Qadir. The year’s profit is Rs 9,600. What is Rohit’s share of the profit?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Rs 3,200
All the money stays in for the same time, so the profit is shared in the ratio of the investments.
Let Qadir invest 1 part. Rohit invests twice as much, 2 parts
Pankaj invests three times Qadir, 3 parts
Pankaj : Qadir : Rohit \(=3:1:2\), total 6 parts
Rohit’s share \(\displaystyle =\frac{2}{6}\times9600=3200\)
Rohit gets Rs 3,200.
Why the other options are incorrect
Option (1) Rs 2,400 — Incorrect. This is \(\frac{1}{4}\) of the profit; no partner has \(\frac{1}{4}\) of the capital.
Option (3) Rs 4,800 — Incorrect. This is Pankaj’s share, \(\frac{3}{6}\) of Rs 9,600.
Option (4) Rs 1,600 — Incorrect. This is Qadir’s share, \(\frac{1}{6}\) of Rs 9,600.