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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