Question
Initially, 40% of mixture ‘P’, consisting of petrol
and diesel, is transferred into mixture ‘Q’, which has a petrol to diesel ratio of 5:4. After this transfer, the ratio of petrol to diesel in mixture ‘Q’ changes to 17:13. Following the transfer, the remaining quantities of petrol and diesel in mixture ‘P’ are 54 liters and 36 liters, respectively. Calculate the initial quantity of mixture ‘Q’.Solution
ATQ, Ratio of petrol and diesel in the mixture ‘P’ = 54:36 = 3:2 60% of mixture ‘P’ = 54 + 36 = 90 litres Therefore, 40% of the mixture = (90/60) × 40 = 60 litres Quantity of petrol in 40% of mixture ‘P’ = 60 × 3/5 = 36 litres Quantity of diesel in 40% of mixture ‘P’ = 60 – 36 = 24 litres Let the quantity of petrol and diesel in the mixture ‘Q’ be 5q litres and 4q litres respectively. According to the question, (5q + 36)/(4q + 24) = 17/13 Or, 65q + 468 = 68q + 408 Or, 3q = 60 Or, q = 20 litres Total quantity of mixture ‘Q’ = 5q + 4q = 9q = 180 litres
In each of the following questions, a word printed in Capital letters is followed by four numbered words or phrases. Choose the one, which is most nearl...
_________ is a simple device that is used to either break the electric circuit, or to complete it.
Bori Wildlife Sanctuary is in which district?
What is the primary goal of the Bima Sugam – Insurance Electronic Marketplace Regulations, 2024?
The book Gulamgiri was written by:
Who founded the "Naujawan Bharat Sabha"?
What is the main objective of the Deen Dayal Antyodaya Yojana - National Rural Livelihood Mission (DAY-NRLM)?
According to the World Bank classification 2020 – 2021, India belongs to the category of ______
What is the correct order of radiations in descending order of frequencies?
What is the mean annual average temperature zones? (in degrees Celsius) in Temperate vegetation zones?
Relevant for Exams:
