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Kaushik and Kumar started writing an essay of 300 words. When Kaushik writes three words Kumar writes five. Find what percent of work will be done by Kaushik when Kumar finishes his essay.

Kaushik and Kumar started writing an essay of 300 words. When Kaushik writes three words Kumar writes five. Find what percent of work will be done by Kaushik when Kumar finishes his essay. Correct Answer 60%

Given:

Total words to type, (work) = 300 words

Time taken by Kaushik to write 3 words = Time taken by Kumar to write 5 words

Concept used:

Work = time × efficiency

Calculation:

The ratio of efficiency of Kaushik to Kumar = 3 ∶ 5

Work

Time

Efficiency

Kaushik

300/3 = 100 mins

3

Kumar

300/5 = 60 mins

5

Total work

300

 

From the table we can see that Kumar finishes his essay in 60 mins.

Number of words by Kaushik in 60 mins = 60 × 3 = 180 word.

Percentage of the essay completed by Kaushik = 180/300 × 100 = 60%

∴ The percentage of the essay completed by Kaushik is 60%.

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