Quantitative Aptitude – Arithmetic – Time and Work – Amal can complete a job in 10

Quantitative Aptitude – Arithmetic – Time and Work

Question

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal’s share, in rupees, is

A) 100
B) 200
C) 300
D) 400

Answer

Option (A)

Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Time and Work, we can see that,
Amount of work done by Amal in 1 day = 1/10
Amount of work done by Bimal in 1 day = 1/8
Amount of work done by Kamal in 1 day = 1/k
All of them together can complete a work in 4 days. So,
1/10 + 1/8 + 1/k = ¼
On solving, we get, k = 40
Ration of work done by them = 1/10: 1/8: 1/40 = 4:5:1
Ratio of work done by Kamal = 1/10
Amount received by Kamal = 1000/10 = 100
Option (A)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Mixtures – Q1 : Consider three mixtures – the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4.
Quantitative Aptitude – Arithmetic – Mixtures – Q2: Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio.
Quantitative Aptitude – Arithmetic – Time and Work – Ques: A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days.
Quantitative Aptitude – Arithmetic – Time, Speed and Distance
Quantitative Aptitude – Arithmetic – Percentages
Quantitative Aptitude – Arithmetic – Profit and Loss
Quantitative Aptitude – Arithmetic – Pipes and Cisterns – Ques: A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours.
Quantitative Aptitude – Arithmetic – Averages
Quantitative Aptitude – Arithmetic – Ratios

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Installments – Various Cases and Questions including Simple and Compound Interest
Profit and Loss – Basic Concepts for CAT Preparation
How to solve Time and Work problems in CAT 2017
Alligations and Mixtures Concepts for CAT Exam Preparation
Clocks -Fundamental Principles
Percentage concepts, questions and shortcut tricks for the CAT exam

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