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Simplification Questions and Answers

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61.

There are 6 working days in a regular week and for each day, the working hours are 10. A man earns Rs. 2.10 per hour for regular work and Rs. 4.20 per hour for overtime. If he earns Rs. 525 in 4 weeks, how many hours did he work?

Answer: A

Regular working hours in 4 weeks
\(=4 \times 6 \times 10=240\) hours
Amount earned by working in these regular working hours
\(=240 \times 2.10= \text {Rs. } 504\)
Additional amount earned
\(=525-504=\text{Rs. }21\)
Hours he worked overtime
\(=\dfrac{21}{4.2}=\dfrac{210}{42}=5\) hours
Total hours he worked
\(=240+5=245\)

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62.

How many pieces of 0.85 meters can be cut from a rod 42.5 meters long?

Answer: C

\[ \frac{42.5}{0.85} = \frac{4250}{85} = 50 \]

Scaling both numbers by 100 clears the decimals before dividing.

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