# Quantitative Aptitude – Arithmetic – Percentages – In a village, the production

## Question

In a village, the production of food grains increased by 40% and the per capita production of food grains increased by 27% during a certain period. The percentage by which the population of the village increased during the same period is nearest to

A) 16
B) 13
C) 10
D) 7

Option (C)

## Solution

From CAT 2017 – Quantitative Aptitude – Arithmetic – Percentages, we can see that,
The total production of food grains (Initial) = t
The total production of food grains (Final) = t’ = 1.4t
Population (Initial) = n
Population (Final) = n’
Per capita food production (Initial) = t/n
Per capita food production (Final) = t’/n’ = 1.4t/n’
1.4t/n’ = t/n
=> n’ = 140n/127
Population increased by [(140n/127 – n)/n] * 100 = 10% (Approximately)
Option C is the right answer.

## CAT 2017 Questions from Quantitative Aptitude – Arithmetic

Quantitative Aptitude – Arithmetic – Percentages – Q1: Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Quantitative Aptitude – Arithmetic – Percentages – Q2: The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is
Quantitative Aptitude – Arithmetic – Percentages – Q3: Ravi invests 50% of his monthly savings in fixed deposits. Thirty percent of the rest of hi√√s savings is invested in stocks and the rest goes into Ravi’s savings bank account.
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 – Q1: 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.
Quantitative Aptitude – Arithmetic – Time and Work – Q2: 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 – 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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