Question : Three persons A, B, and C invested some money in a business. The share of A is twice the share of B, and the share of B is thrice the share of C. After 1 year, they earned INR 6,000. Find the money A received.
Option 1: INR 3,200
Option 2: INR 3,000
Option 3: INR 3,600
Option 4: INR 3,500
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Correct Answer: INR 3,600
Solution : Let's denote the shares of A, B, and C as $A$, $B$, and $C$ respectively. Given that the share of A is twice the share of B ⇒ $A=2B$ And, The share of B is thrice the share of C ⇒ $B=3C$ ⇒ $A=2(3C)=6C$ According to the question, After 1 year, they earned INR 6,000. $A+B+C=6000$ ⇒ $6C+3C+C=6000$ ⇒ $10C=6000$ ⇒ $C=600$ So, $A=6C=6\times 600=\mathrm{INR\ }3600$ Hence, the correct answer is INR 3,600.
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