Question
Abhijeet' is 50% less efficient than 'Vivek' and can
achieve 25% of the sales target in 8 days.'Chirag' takes 4 days more than 'Vivek' to achieve the target. Which of the following statements is/are true according to the given information? I. 'Abhijeet' and 'Chirag' together can achieve 81.25% of the target in 10 days. II. 'Vivek' and 'Chirag' together can complete 90% of the target in 8 days. III. 'Abhijeet' takes 12 days more than 'Chirag' to complete the target alone.Solution
ATQ, Time taken by āAbhijeetā to achieve the target alone = 8/0.25 = 32 days Time taken by āVivekā to achieve the target alone = 0.5 Ć 32 = 16 days Time taken by āChiragā to achieve the target alone = 16 + 4 = 20 days Let the total target achieved be 160 units Efficiency of āAbhijeetā = 160/32 = 5 units/day Efficiency of āVivekā = 160/16 = 10 units/day Efficiency of āChiragā = 160/20 = 8 units/day For statement I: Time taken by āAbhijeetā and āChiragā together to achieve 81.25% of the target = 0.8125 Ć (160/13) = 10 days Therefore, statement I is true. For statement II: Time taken by āVivekā and āChiragā to achieve 90% of the target together = 0.9 Ć (160/18) = 8 days Therefore, statement II is true. For statement III: Time taken by āAbhijeetā is 12 days more than āChiragā. Therefore, III is true.
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