Question : Rs. 4,500 is divided among four friends in the ratio of $\frac{1}{6}: \frac{1}{4}: \frac{1}{3}: \frac{1}{2}$, What is the amount received by the person who got the smallest share?
Option 1: Rs. 1,100
Option 2: Rs. 600
Option 3: Rs. 500
Option 4: Rs. 800
Correct Answer: Rs. 600
Solution :
The ratio of $\frac{1}{6}: \frac{1}{4}: \frac{1}{3}: \frac{1}{2}$ can be simplified.
The simplified ratio is 2 : 3 : 4 : 6.
The sum of the ratio = 2 + 3 + 4 + 6 = 15
The amount received by the person who got the smallest share = 4500 × $\frac{2}{15}$ = Rs. 600
Hence, the correct answer is Rs. 600.
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