Question : Mahesh and Suresh can complete work alone in 20 days and 30 days, respectively. They received INR 3300 for completing the work together. What is the share of Mahesh?
Option 1: INR 1720
Option 2: INR 2080
Option 3: INR 1800
Option 4: INR 1980
Correct Answer: INR 1980
Solution :
Work done by Mahesh in 1 day = $\frac{1}{20}$
Work done by Suresh in 1 day = $\frac{1}{30}$
$\therefore$ Ratio of work done by them = $\frac{1}{20}:\frac{1}{30}$ = 3 : 2
Ratio of share = Ratio of work done
So, the ratio of their share = 3 : 2
$\therefore$ The share of Mahesh = 3300 × $\frac{3}{3+2}$ = 3300 × $\frac{3}{5}$ = INR 1980
Hence, the correct answer is INR 1980.
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