During college hours, Nishant finished 73% of his homework, and Manoj completed $58$ of his homework, then ____ must finish a greater percentage of homework.

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Detailed Solution

During college hours, Nishant finished 73% of his homework and Manoj completed

58

of his homework, then Manoj must finish a greater percentage of homework.
It is given that Nishant has finished 73% of his homework and Manoj completed

58

of his homework.
Therefore, homework left for Nishant will be

= 100 − 73 % = 23 % .

That means Nishant has to finish 27% of his homework.
And homework left for Manoj will be

= 1 − 58 = 38 .

That means Manoj has to complete

38

of his homework.
We know that the percentage formula is given by,

Percentage = \frac{Increase in value}{Initial value} \times 100 %

Therefore, we will get,

Percentage = 381 × 100

⇒ Percentage = 38 × 100

⇒ Percentage = 3008

⇒ Percentage = 37.5 %

That means Manoj has to finish 37.5% of his homework.
Since Nishant has to finish 27% of his homework Manoj has to finish 37.5% of his homework, therefore, Manoj must finish a greater percentage of homework.

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