Question
In the question, two quantities I and II are given. You
have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Quantity I: Bhanu and Bala together can complete a task in 30 days, while Bala and Bimal can finish the same task in 24 days. If Bala and Bimal have the same efficiency, then in how many days can Bhanu alone complete 40% of the task? Quantity II: R and S alone can complete the task in 50 and 75 days respectively. How many days will it take if both work together?Solution
ATQ,
Let the total work be LCM (30, 24) = 120 units
Work done by Bhanu and Bala per day = 120 ÷ 30 = 4 units
Work done by Bala and Bimal per day = 120 ÷ 24 = 5 units
Since efficiency of Bala and Bimal is the same,
Work done by Bala per day = 5 ÷ 2 = 2.5 units
Work done by Bimal per day = 2.5 units
Work done by Bhanu per day = 4 – 2.5 = 1.5 units
Now, Bhanu needs to complete 40% of 120 = 48 units
Time = 48 ÷ 1.5 = 32 days
Quantity II:
Time taken = (50 × 75)/(50 + 75) = 3750/125 = 30 days
So, Quantity-I > Quantity-II
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