Question : Mohit and Rohit undertook a work for Rs. 2200. Mohit alone can do that work in 10 days and Rohit alone can do the same work in 12 days. If they work together, then what will be the difference in the amount they receive?
Option 1: Rs. 500
Option 2: Rs. 200
Option 3: Rs. 600
Option 4: Rs. 400
Correct Answer: Rs. 200
Solution :
Let the efficiency of Mohit and Rohit be $M$ and $R$, respectively.
⇒ $\frac{M}{R}=\frac{\text{time taken by Rohit}}{\text{time taken by Mohit}}$
⇒ $\frac{M}{R}=\frac{12}{10}=\frac{6}{5}$
So, Rs. 2200 will be divided in the ratio of 6 : 5.
$\therefore$ Share of Mohit $=\frac{6}{6+5}×2200$ = Rs. 1200
So, share of Rohit = Rs. 2200 – Rs. 1200 = Rs. 1000
$\therefore$ Difference = 1200 – 1000 = 200
Hence, the correct answer is Rs. 200.
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