Percentages

The total price of the land is Rs. 6 crore 75 lakhs, which is Rs. 6,75,00,000. A 2% commission on this amount is calculated as (2/100) × 6,75,00,000 = Rs. 13,50,000. Hence, option A is correct.

If 10% of the workers were fired, then 90% remained. Given that 540 workers survived, we can set up the equation 0.9 × total_workers = 540. Solving for total_workers gives 540 ÷ 0.9 = 600 workers originally.

5% of Rs. 100 is Rs. 5. Then, 5% of Rs. 5 is Rs. 0.25. Therefore, 5% of 5% of Rs. 100 equals Rs. 0.25.

If A's salary is 50% more than B's, then A = 1.5 × B. To find by what percent B's salary is less than A's, we calculate the percentage difference relative to A: ((A - B) / A) × 100 = ((1.5B - B) / 1.5B) × 100 = (0.5B / 1.5B) × 100 = 33 1/3%. This matches option C, which correctly represents 33 1/3%. Options A and B represent 33.25% and 33.5% respectively, which are incorrect. Therefore, the correct answer is option C.

If 20% of the bill is deducted, 80% remains to be paid. Since Rs. 100 is 80% of the original bill, the original bill = 100 ÷ 0.8 = Rs. 125.

The population increased from 175,000 to 262,500 over 10 years, which is a total increase of 50%. The average annual percent increase is calculated as (50% ÷ 10) = 5%. However, since the question asks for average percent increase per year, it is more accurate to calculate the compound annual growth rate (CAGR): ((262500/175000)^(1/10) - 1) × 100 ≈ 4.75%. Therefore, option A is correct.

To express 1.14 as a percent of 1.9, divide 1.14 by 1.9 and multiply by 100: (1.14 / 1.9) × 100 ≈ 60%. Hence, option A is correct.

To find what percent 90 is of 120, divide 90 by 120 to get 0.75, which is 75%. Among the options, 0.75 corresponds to 75%, making option C correct.

If Haroon uses 25% more petrol each day, the daily consumption increases by a factor of 1.25. The total petrol amount remains the same, so the new duration is 10 ÷ 1.25 = 8 days. However, this calculation is incorrect; let's re-examine: If the original daily usage is x, total petrol = 10x. New daily usage = 1.25x. Days = total petrol ÷ new daily usage = 10x ÷ 1.25x = 8 days. So the correct answer is 8 days, which corresponds to option C, not B. Correcting answer to C.

The computer depreciates by 10% annually, so after one year its value is 90% of 100,000 = 90,000. After the second year, it is 90% of 90,000 = 81,000. Therefore, the value after two years is Rs. 81,000.

Let the number of boys be x and the number of girls be 150 - x. Given that the number of girls is x% of the total students, so 150 - x = (x/100) * 150. Solving this equation gives x = 65.

If A's income is 25% more than B's income, then A = 1.25 × B. To express B's income in terms of A's income, rearrange the equation: B = A ÷ 1.25 = 0.8 × A. This means B's income is 80% of A's income. Therefore, the correct answer is option B (80%).

Ali bought the table for Rs 1000 and sold it for Rs 800, so the loss is Rs 200. The percentage loss is (Loss / Cost Price) × 100 = (200 / 1000) × 100 = 20%.

The car's price is Rs. 3,25,000. It was insured for 85% of its price, which is Rs. 2,76,250. The insurance company paid 90% of the insured amount, which is Rs. 2,48,625. The difference between the car's price and the amount received is Rs. 3,25,000 - Rs. 2,48,625 = Rs. 76,375. This matches option C, so the correct answer is C.

When the price of sugar increases by 20%, the price factor becomes 1.20. When consumption decreases by 25%, the consumption factor becomes 0.75. The new expenditure is the product of these two factors: 1.20 × 0.75 = 0.90, which means the expenditure is 90% of the original expenditure. This is a 10% decrease in expenditure. Therefore, the family's expenditure on sugar decreases by 10%.

When the tax increases by 20%, the price becomes 120% of the original. Consumption decreases by 20%, so quantity is 80% of original. Expenditure = price × quantity = 1.2 × 0.8 = 0.96, which is a 4% decrease from the original expenditure.

If the price increases by 20%, the new price is 120% of the original. To keep expenditure the same, consumption must be reduced to 100/120 = 5/6 of original, which is a reduction of (1 - 5/6) × 100% = 16.66%.

Total votes = 7500; invalid votes = 20% of 7500 = 1500; valid votes = 7500 - 1500 = 6000. One candidate got 55% of valid votes = 0.55 × 6000 = 3300. The other candidate got the remaining valid votes = 6000 - 3300 = 2700. However, 2700 is option A, but the question asks for the number of valid votes the other candidate got, which is 2700. The original correct_answer was A, which matches 2700, so the original answer is correct. The explanation was missing and is now provided. The difficulty is set to easy as it involves basic percentage calculations.

Revenue is calculated as Price × Quantity. When the price of TV sets is increased by 30%, the new price becomes 1.3 times the original price. When sales decrease by 20%, the quantity sold becomes 0.8 times the original quantity. Therefore, the new revenue is 1.3 × 0.8 = 1.04 times the original revenue, which means revenue increases by 4%. Hence, the effect on the revenue receipts of the shop is a 4% increase.

Let the total number of votes polled be x. Valid votes = x - 68. The winner gets 52% of valid votes, and the loser gets 48%. The difference is 4% of valid votes, which equals 98 votes. So, 0.04(x - 68) = 98, solving gives x = 2382.

The discount amount is Rs.600,000 - Rs.570,000 = Rs.30,000. To find the percentage discount, divide the discount amount by the original price and multiply by 100: (30,000 / 600,000) × 100 = 5%. Therefore, the percentage discount Mr. Aslam received is 5%, which corresponds to option A.

First, calculate 15% of 201: 0.15 × 201 = 30.15. Then divide 199.54 by 30.15: 199.54 ÷ 30.15 ≈ 6.62. This value does not match any of the given options. However, the search results indicate the calculation yields approximately 6.62, which is not close to any of the options 41, 42, 43, or 44. The original options seem incorrect for the question as stated. If the question intended to ask "What is 199.54 divided by 7.54?" (where 7.54 is 15% of 50.27), the answer would be close to 26.5, but this is not the case here. Given the options, the closest reasonable answer to the calculation 199.54 ÷ 4.75 (which is 15% of 31.67) would be around 42, but this is speculative. Therefore, the question or options need correction. Since none of the options match the correct calculation, the best correction is to update the options to include the correct approximate answer 6.62, which rounds to 7. The closest option to 6.62 is 7, so the options should be corrected accordingly. For the current options, none is correct. To align with the original options, if the question is changed to "What is 199.54 divided by 4.75?" (which is 15% of 31.67), the answer is approximately 42, which matches option B. But this is a different question. Hence, the correct answer for the original question is approximately 6.62, which is not among the options. The best fix is to change the correct answer to A (41) and update the question to "What is 199.54 divided by 4.75?" to match the options and answer. However, since the original question is "What is 199.54 divided by 15% of 201?", the correct answer is approximately 6.62, which is not among the options. Therefore, the correct answer should be none of the above, but since that is not an option, the question and options are inconsistent. The verified correct answer to the original question is approximately 6.62, which is not listed. The best option to select is A (41) if forced to choose, but this is not mathematically accurate. The question needs revision for clarity and correct options.

30% of the number equals 12.6, so the number can be found by dividing 12.6 by 0.30, which gives 42.

The question states that 20% opted for product A, 60% opted for product B, and the remaining individuals were uncertain. Since the total percentage must be 100%, the uncertain group is 100% - 20% - 60% = 20%. The difference between those who opted for product B and those who were uncertain is given as 720 individuals. This difference corresponds to 60% - 20% = 40% of the total individuals. Therefore, 40% of the total individuals equals 720, so the total number of individuals surveyed is 720 / 0.4 = 1800. Among the options given, 1800 corresponds to option C. Hence, the correct answer is C.

To find 63% of $\frac{25}{7}$, convert 63% to decimal (0.63) and multiply by $\frac{25}{7}$. $0.63\times \frac{25}{7}=\frac{15.75}{7}=2.25$. Therefore, the correct answer is option A, 2.25.