# Quantitative Aptitude: Percentage Questions Set 9

1. The population of a city increases at the rate of 5% per annum. There is an additional annual increase of 2 % in the population due to the influx of job seekers. What will be the % increase in the population after 2 years.
12.24%
14.49%
10.15%
14.19%
15%
Option B
The net annual increase = 7% Let the initial population be 100. Population after 2 years , 100*1.07*1.07 = 114.49 % change in the population = 114.49 – 100 = 14.49%

2. An Athlete decided to run a certain distance in ¼ less time than he usually takes. By what per cent must be increase his average running speed to reach his goal?
33.33%
25%
32.5%
20.05%
11.15%
Option A
Let he takes t minutes to cover a distance of x m. Let his usual speed is x/t m/s. Since, he decided to take 1/4 less time than he takes usually so, he takes 3t/4 minutes to cover x m. In this case his speed has to be x/(3t/4) = 4x/3t m/s. Change in speed = (4x/3t – x/t) m/s = x/3t m/s. So, the percentage of speed = 100 = (1/3)*100 = 33.33 % (approx.)

3. The population of a town increases 30% and 40% respectively in two consecutive years. After the growth the present population of the town is 18200. Then what is the population of the town 2 years ago?
11,150
12,000
32,500
25,000
10,000
Option E
Required Population in the town = (18200*100*100)/(130*140) = 10,000

4. The price of Basmati rice is sold at Rs. 60/ kg. The rate was Rs. 45 / kg few months before. At what percent should a family reduce its consumption so as to keep the expenditure fixed?
20%
25%
13%
18%
34%
Option B
Let the quantity of rice consumed when it was 45/kg be x kg. Total monthly amount = 45x To keep the expense 45x, quantity to be consumed = 45x/60 = 3x/4 Decrease in concumption = x/4 = 0.25x Change in % = (0.25x/x)*100 = 25%

5. The Seller increased the price of a product by 20% so that buyers finds it difficult to purchase the required amount.Though somehow the customer managed to purchase only 60% of the required amount. Find the net percentage change in the expenditure on that product?
60%
55%
72%
70%
80%
Option C
Let the initial price be Rs.1 Increased price = 1.2 * 0.6 = 0.72 Decrease in price = (1-0.28)/1*100 = 72%

6. A man is working in a firm and earn to support his family , he spends 40% of his salary and saves the remaining for the future purpose . After some years his salary is increased by 30% and he increased his expenditure by 25%. By what % does his saving increase?
33.33%
22.11%
10.10%
25.14%
20.00%
Option A
Let the salary be 100. Expenditure = 40 savings = 60 New salary = 130 New expense= (40 * 125)/100 = 50 New savings = 130 – 50 = 80 Required increase in savings = (80-60)*100/60 = 33.33%

7. In a XYZ school, 20% of students are below 10 years of age. The number of students above 10 years of age is 2/3 of the number of students of 10 years of age which is 54. What is the total number of students in the school?
60
80
50
112.5
100
Option D
Let the total number of schools be x . Number of students above 10 years of age = 80% of x. 80% of x = 54 + 2/3×54 => x = 112.5

8. An ore of iron, 10% of the ore gets wasted,out of the total production of iron hematite.From the remaining iron, only 15% is pure iron, if the pure iron obtained in a year from a mine of hematite was 2700 kg. Find the quantity of hematite mined in the year .
20,000
30,000
15,000
10,000
18,000
Option A
Amount of pure iron obtained = (15/100)*(90/100)*x = 27x/200 => x = (2700*200)/27 = 20,000

9. Agriculture Department is predicting the area-wise sales of sugarcane for the next year. Area I with current yearly sales to Rs. 92.5 lakhs is expected to achieve a sales growth of 6.25%; Area II with current sales of Rs. 81.3 lakhs is expected to grow by 7.3% and Area III with sales of Rs. 60.5 lakhs is expected to increase sales by 8.15%. What is the expected sales growth for the next year?
6.5%
5.4%
7.3%
8.0%
7.10%
Option E
Total sales = (92.5 * 6.25%) + (81.3 * 7.3%) + (60.5 * 8.15%) = 5.78 + 5.93 + 4.93 = 16.64 (approx.) Total sales from all the areas = 234.3lakhs Overall percentage growth = {16.64/234.3*100} = 7.10%

10. The total car manufactured in a State is 294000, out of which 150000 are made by TATA. Out of every 1000 TATA cars, 98 are white in colour. But only 5.3% of the total car production is white . Find percentage of non-TATA cars that are white.
0.303%
0.550%
0.612%
0.464%
0.125%
Option C
Number of cars that are white = (98/1000) * 150000 = 14700 Total number of white cars = 294000*(5.3/100) = 15582 Number of non-TATA cars = 15582 – 14700 = 882 Percenatge of non-TATA cars that are white = {882/(294000-150000)}*100% = 0.612%

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