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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


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

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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