Question
'Amit' can finish a __ 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__ 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%, 12Solution
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.
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