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Percentage
The difference between a number and its two-fifth is 510. What is 10% of that number?
Let the number be x. The difference between the number and its two-fifth is x - (2/5)x = (3/5)x = 510. Solving for x gives x = 510 * (5/3) = 850. Ten percent of 850 is 0.10 * 850 = 85, which corresponds to option B.
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Percentage
What percentage of numbers from 1 to 70 have squares that end in the digit 1?
Squares ending in 1 occur when the original number ends in 1 or 9. From 1 to 70, numbers ending in 1 or 9 appear 7 times each (e.g., 1,11,21,...,61 and 9,19,29,...,69), totaling 14 numbers. Thus, 14 numbers have squares ending in 1.
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Percentage
If 15% of 30% of 50% of a number is 90, then what is the number?
Let the number be x. Then 15% of 30% of 50% of x equals 90, so (0.15)(0.30)(0.50)x = 90. This simplifies to 0.0225x = 90, so x = 90 / 0.0225 = 4000. However, 4000 is option A, so the correct answer is A, not D. Rechecking calculation: 0.15 * 0.30 = 0.045; 0.045 * 0.50 = 0.0225; 90 / 0.0225 = 4000. Therefore, correct answer is A.
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Average
The average of two numbers is XY. If one number is equal to X, what is the other number?
The average of two numbers is given as XY, so the sum of the two numbers is 2 * XY. If one number is X, then the other number must be the total sum minus X, which is 2XY - X. This matches option D exactly. The notation XY is treated as a single average value, not a product of X and Y. Therefore, the correct answer is option D: 2XY - X.
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Percentage
After spending 40% on machinery, 25% on the building, 15% on raw material, and 5% on furniture, Haris had a balance of Rs. 1305. What was the total amount of money he had initially?
The total percentage spent is 40% + 25% + 15% + 5% = 85%. Therefore, the remaining balance is 15% of the total money. Given that 15% equals Rs. 1305, the total money is Rs. 1305 ÷ 0.15 = Rs. 8700.
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Percentage
If 30% of a number exceeds 20% of it by 18, then find the number?
Let the number be x. According to the problem, 30% of x exceeds 20% of x by 18, so 0.3x - 0.2x = 18, which simplifies to 0.1x = 18. Therefore, x = 18 / 0.1 = 180.
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Percentage
A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
If the candidate got 35% of the votes and lost by 2250 votes, the rival got 2250 votes more, which is 65% of the total votes. The difference (65% - 35% = 30%) corresponds to 2250 votes. So, 30% of total votes = 2250, thus total votes = 2250 / 0.30 = 7500.
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Percentage
The monthly incomes of A and B are in the ratio 5 : 2. B’s monthly income is 12% more than C’s monthly income. If C’s monthly income is Rs. 15,000, then find the annual income of A.
C's monthly income is Rs. 15,000. B's income is 12% more than C's, so B's income = 15000 + 12% of 15000 = 15000 + 1800 = Rs. 16,800. The ratio of A to B is 5:2, so A's income = (5/2) × 16800 = Rs. 42,000 per month. Therefore, A's annual income = 42000 × 12 = Rs. 504,000.
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Percentage
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If their savings are the same, what is A’s salary?
Let A's salary be x and B's salary be 2000 - x. A's savings = 5% of x = 0.05x; B's savings = 15% of (2000 - x) = 0.15(2000 - x). Since their savings are equal, 0.05x = 0.15(2000 - x). Solving gives x = 1250, so A's salary is Rs.1250.
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Percentage
In a factory, there are 40% technicians and 60% non-technicians. If 60% of the technicians and 40% of the non-technicians are permanent employees, then what percentage of workers are temporary?
There are 40% technicians and 60% non-technicians. Among technicians, 60% are permanent, so 40% are temporary: 40% × 40% = 16%. Among non-technicians, 40% are permanent, so 60% are temporary: 60% × 60% = 36%. Total temporary = 16% + 36% = 52%. However, this calculation shows 52%, which matches option C, but the original question states 60% of technicians and 40% of non-technicians are permanent, so temporary percentages are 40% and 60% respectively. Calculating temporary workers: (40% technicians × 40% temporary) + (60% non-technicians × 60% temporary) = 16% + 36% = 52%. Therefore, the correct answer is C (52%).