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The MCQs below are drawn from the Mathematics subject category.
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7371
The population of a town is 10,000. It increases by 10% in the first year and 20% in the second year. What is the population after 2 years?
A. 13000
B. 13200
C. 13400
D. 13500
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Explanation
Population after year 1 = 10000 * 1.10 = 11000. Population after year 2 = 11000 * 1.20 = 13200.
7372
In a company, 40% are male, and 60% of males earn >30k. If 45% of total earn >30k, what fraction of female employees earn >30k?
A. 1/4
B. 7/20
C. 3/8
D. 1/3
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Explanation
Let total = 100. Males = 40, Females = 60. Males >30k = 60% of 40 = 24. Total >30k = 45. Females >30k = 45 - 24 = 21. Fraction of females = 21 / 60 = 7/20.
7373
A person gave 20% of his income to his elder son, 30% of the remaining to the younger son, and 10% of the balance to a trust. He is left with 10080. His income was?
A. 15000
B. 20000
C. 25000
D. 30000
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Explanation
Let income be x. After elder son: 0.8x. After younger: 70% of 0.8x = 0.56x. After trust: 90% of 0.56x = 0.504x. So, 0.504x = 10080. x = 20000.
7374
Monthly income of A is 30% more than B. If A's income is Rs 6500, what is B's income?
A. 4500
B. 5000
C. 5500
D. 6000
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Explanation
A = B + 30% of B = 1.3B. 1.3B = 6500. B = 6500 / 1.3 = 5000.
7375
If A's income is 40% less than that of B, how much percent is B's income more than A's?
A. 40%
B. 50%
C. 66.66%
D. 75%
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Explanation
Let B's income be 100. Then A's is 60. B is more than A by 40. Percentage = (40 / 60) * 100 = 66.66%.
7376
A man spends 75% of his income. His income increases by 20% and expenditure increases by 10%. His savings increase by?
A. 25%
B. 33.3%
C. 50%
D. 60%
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Explanation
Let income = 100. Spend = 75, Save = 25. New income = 120. New spend = 75 + 10% of 75 = 82.5. New save = 120 - 82.5 = 37.5. Increase in save = 37.5 - 25 = 12.5. % increase = (12.5 / 25) * 100 = 50%.
7377
By saving 15% of his salary, a person saves Rs 300. His monthly salary is?
A. 1500
B. 2000
C. 2500
D. 3000
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Explanation
15% of salary = 300. Salary = 300 / 0.15 = 2000.
7378
Rahul's salary is Rs 50,000. He spends 10% on rent, 20% of the remainder on food. How much does he save?
A. 30000
B. 32000
C. 35000
D. 36000
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Explanation
Rent = 10% of 50000 = 5000. Remainder = 45000. Food = 20% of 45000 = 9000. Total spent = 14000. Savings = 50000 - 14000 = 36000.
7379
A man spends 20% of his income on food, and 50% of the remaining on rent. If he saves Rs 4000, his income is?
A. 8000
B. 10000
C. 12000
D. 15000
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Explanation
Let income be x. Spend on food = 0.2x. Remaining = 0.8x. Spend on rent = 50% of 0.8x = 0.4x. Total spent = 0.6x. Savings = 0.4x = 4000. x = 10000.
7380
A spends 20% on rent, 30% on food, 10% on education. If he saves Rs 2000, his income is?
A. 4000
B. 5000
C. 6000
D. 8000
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Explanation
Total spent = 20% + 30% + 10% = 60%. Total saved = 40%. 40% of income = 2000. Income = 2000 / 0.40 = 5000.
