'Amit' can finish a 25% percentage of work in 4 days on his own. 'Bishnu' requires 4 days less than 'Amit' to complete the same task individually. Consequently, 'Bishnu' can accomplish a specific percentage of the work in a certain number of days.

Which of the following options provides the values to fill the blanks in the same order, making the statement true?

I. 25%, 9

II. 40%, 4.5

III. 20%, 12

Solution

For I: Total time taken by ‘Amit’ to complete the task alone = 4/0.25 = 16 days Total time taken by ‘Bishnu’ to complete the same task alone = 16 – 4 = 12 days Time taken by ‘Bishnu’ to complete 75% of the task alone = 0.75 × 12 = 9 days Therefore, I is true. For II: Total time taken by ‘Amit’ to complete the whole task alone = 4/0.40 = 10 days Total time taken by ‘Bishnu’ to complete the same task alone = 10 – 4 = 6 days Time taken by ‘Bishnu’ to complete 75% of the work alone = 0.75 × 6 = 4.5 days Therefore, II is true. For III: Total time taken by ‘Amit’ to complete the whole task alone = 4/0.20 = 20 days Total time taken by ‘Bishnu’ to complete the whole task alone = 20 – 4 = 16 days Time taken by ‘Bishnu’ to complete 75% of the task alone = 0.75 × 16 = 12 days Therefore, III is true.