Amit, Bela and Chirag run a catering firm for one year. Amit’s capital is one-third of Bela’s, and Chirag’s capital is two and a half times Amit’s. Out of a profit of Rs 10,400, how much does Chirag get?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs 4,000
The capitals are kept for the same time, so the profit goes in the ratio of the capitals.
Let Amit’s capital be 2 parts (a convenient number, as Chirag has 2.5 times it)
Bela has three times Amit: 6 parts
Chirag has \(2.5\times2=5\) parts
Amit : Bela : Chirag \(=2:6:5\), total 13 parts
Chirag’s share \(\displaystyle =\frac{5}{13}\times10400=5\times800=4000\)
Chirag gets Rs 4,000.
Why the other options are incorrect
Option (1) Rs 4,800 — Incorrect. This is Bela’s share, \(6\times800\).
Option (2) Rs 1,600 — Incorrect. This is Amit’s share, \(2\times800\).
Option (4) Rs 3,200 — Incorrect. This is 4 parts out of 13; Chirag has 5 parts.