Question : The total number of males and females in a town is 70,000. If the number of males is increased by 6% and that of females is increased by 4%, then the total number of males and females in the town would become 73,520. What is the difference between the number of males and females in the town, in the beginning?
Option 1: 1,500
Option 2: 1,800
Option 3: 2,000
Option 4: 1,400
Correct Answer: 2,000
Solution : Given: The total number of males and females in a town is 70,000. The number of males is increased by 6% and that of females is increased by 4%, the total number of males and females in the town would become 73,520. Let $x$ be the number of males. The number of females = $(70000 - x)$ The town's overall male and female population rose by = 73520 – 70000 = 3,520 According to the question, $x\times \frac{6}{100}+[(70000-x)\times \frac{4}{100}]=3520$ ⇒ $0.06x+2800-0.04x=3520$ ⇒ $0.06x-0.04x=3520-2800$ ⇒ $0.02x=720$ ⇒ $x=36,000$ There are 36,000 males in total. The number of females = 70000 – 36000 = 34,000 The difference between the number of males and females in the town, in the beginning, = 36000 – 34000 = 2,000 Hence, the correct answer is 2,000.
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Question : The population of A town is 9000. If the number of females increases by 5% and the number of males by 7.5%, what will be the total population after the increase when the number of females is currently 3000?
Option 1: 9600
Option 2: 9200
Option 3: 10500
Option 4: 9540
Question : The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number.
Option 1: 7.2
Option 2: 0.8
Option 3: 720
Option 4: 80
Question : A, B and C started a business investing amounts of INR 13,750, INR 16,250 and INR 18,750, respectively. If B's share in the profit earned by them is INR 5,200, what is the difference in the profit (in INR) earned by A and C?
Option 1: 1,600
Option 3: 1,500
Option 4: 1,200
Question : Direction: Study the pie chart and answer the question. Details of % of employees working in various departments and number of males among them. Total number of employees = 800 The ratio of males working in the marketing department to the number of females in that department is:
Option 1: 52 : 7
Option 2: 52 : 9
Option 3: 55 : 7
Option 4: 55 : 9
Question : The length of a rectangle is increased by 10% and breadth is decreased by 10%. The area of the new rectangle is:
Option 1: neither increased nor decreased.
Option 2: increased by 1%.
Option 3: decreased by 2%.
Option 4: decreased by 1%.
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