Question
Quantity-I: 'Ajay' is capable of completing 25% of a
task in 13 days. Together, 'Ajay' and 'Bijay' can finish the entire task in 24 days. If 'Bijay' alone can finish the task in 'a' days, find the value of 'a'. Quantity-II: A smartwatch with a cost price of Rs. 120 incurs a loss of Rs. 60 when sold. If the selling price of the watch is 'b', calculate the value of 'b'. In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. A) Quantity-I > Quantity-II B) Quantity-I < Quantity-II C) Quantity-I ≤ Quantity-II D) Quantity-I = Quantity-II or No relationSolution
ATQ, Quantity I: Time taken by Ajay to complete the entire task = {(13/25) × 100} = 52 days Let the total task be 312 units.(LCM of 52 and 24) Efficiency of 'Ajay' = (312/52) = 6 units/day Efficiency of 'Ajay' and 'Bijay' together= (312/24) = 13 units/day Number of days taken by 'Bijay' = {312/(13-6)} = (312/7) or 44(4/7) or a = 44(4/7) So, Quantity I = 44(4/7) Quantity II: Selling price = 120 - 60 = Rs. 60 Or, 'b' = 60 So, Quantity II = 60
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