Percentages

The original seats are in the ratio 5:7:8. Increasing them by 40%, 50%, and 75% respectively results in new seat counts proportional to 5×1.4=7, 7×1.5=10.5, and 8×1.75=14. The ratio 7:10.5:14 simplifies to 2:3:4. However, this matches option A, so option A is correct, not 'None of these'. Therefore, the correct answer is A.

80% of 40 is calculated as 0.8 × 40 = 32. 4/5 of 25 is calculated as (4/5) × 25 = 20. The difference between these two values is 32 - 20 = 12. Therefore, 80% of 40 is greater than 4/5 of 25 by 12, which corresponds to option D.

To find what percent 90 is of 120, divide 90 by 120 and multiply by 100: (90/120)*100 = 75%. Therefore, 90 is 75% of 120.

If y exceeds x by 20%, then y = 1.2x. To find by what percent x is less than y, calculate (y - x)/y = (1.2x - x)/1.2x = 0.2x/1.2x = 1/6 = 16 2/3%.

Let the number be x. According to the problem, 85% of x plus 24 equals x, so 0.85x + 24 = x. Subtracting 0.85x from both sides gives 24 = 0.15x, so x = 24 / 0.15 = 160. Therefore, the number is 160.

The price after a 24% decrease is Rs.912, which means Rs.912 is 76% of the original price (100% - 24% = 76%). To find the original price, divide 912 by 0.76: 912 ÷ 0.76 = 1200. Therefore, the original cost of the article is Rs.1200, which corresponds to option C.

If the price falls by 10%, the new price is 90% of the original. To keep expenditure the same, consumption must increase so that (new consumption) × (new price) = original expenditure. Let the increase be x%, then (1 + x/100) × 90% = 100%, solving gives x = 11 1/9%.

If p is 50% more than q, then p = q + 0.5q = 1.5q. Therefore, the ratio of p to q is 1.5q : q, which simplifies to 3:2.

Let the unknown number be x. Adding 60% of x to 120 gives the equation 0.60x + 120 = x. Subtracting 0.60x from both sides yields 120 = 0.40x, so x = 120 / 0.40 = 300. Therefore, the correct answer is 300, which corresponds to option A.

Given x% of 200 equals y% of 250, we have (x/100)*200 = (y/100)*250, which simplifies to 2x = 2.5y or 4x = 5y. Therefore, y:x = 4:5, matching option D.

Let the number be x. According to the problem, 40% of x is 190 more than 20% of 650. So, 0.4x = 0.2*650 + 190. Calculating 0.2*650 = 130, so 0.4x = 130 + 190 = 320. Therefore, x = 320 / 0.4 = 800. Hence, the correct answer is 800.

Raees deposits 15% of his salary, so 85% remains. He spends 30% of the remaining 85% on groceries, which is 0.3 × 0.85 = 0.255 of the salary. The cash in hand after groceries is 85% - 25.5% = 59.5% of the salary. Given cash in hand is Rs. 2380, so salary = 2380 ÷ 0.595 = Rs. 4000.

Let the passing marks be P and total marks be T. The first candidate gets 30% of T and fails by 50 marks, so 0.3T = P - 50. The second candidate gets 45% of T and exceeds passing marks by 25, so 0.45T = P + 25. Solving these two equations gives P = 200 marks.

To find what percent 80 is of 64, divide 80 by 64 and multiply by 100: (80/64) * 100 = 125%. Therefore, 80 is 125% of 64, which corresponds to option D.

The revenue from a commodity is the product of the tax (price) and the consumption (quantity). If the tax decreases by 20%, the new tax is 80% of the original (0.8 times original). If consumption increases by 10%, the new consumption is 110% of the original (1.1 times original). Therefore, the new revenue is 0.8 × 1.1 = 0.88 times the original revenue, which means the revenue decreases by 12%. Hence, the percentage decrease in revenue is 12%, which corresponds to option D.

The candidate secured 62% of the votes, so the opponent got 38%. The majority is the difference, which is 62% - 38% = 24% of total votes. Given the majority is 144 votes, 24% of total votes = 144, so total votes = 144 / 0.24 = 600. However, 600 is option A, so let's re-check calculations carefully: 62% - 38% = 24%, 24% of total votes = 144, total votes = 144 / 0.24 = 600. So total votes polled is 600, which corresponds to option A, not B. Therefore, correct answer is A.

To find the percentage of students who received a grade of B, divide the number of students with grade B (45) by the total number of students (120) and multiply by 100: (45/120)*100 = 37.5%.

Let B's price be 100. A sells his goods 50% cheaper than B, so A's price is 50 (100 - 50% of 100). A sells his goods 50% dearer than C, so A's price is 1.5 times C's price. Therefore, C's price = 50 / 1.5 = 33.33. Hence, C is the cheapest, followed by A, then B.

Nawaz Sharif spends 10% on rent, leaving 90% of income. Then 20% of the remainder (which is 90%) is spent on education, leaving 80% of 90% = 72%. Then 25% of the remainder (72%) is spent on miscellaneous causes, leaving 75% of 72% = 54%. The remaining amount is Rs. 1944, which is 54% of his income. So, income = 1944 / 0.54 = Rs. 3600. However, this calculation shows Rs. 3600, which is option A, so let's re-check carefully: Step 1: Income = I Rent = 10% of I = 0.1I, remainder = 0.9I Step 2: Education = 20% of remainder = 0.2 * 0.9I = 0.18I, remainder = 0.9I - 0.18I = 0.72I Step 3: Miscellaneous = 25% of remainder = 0.25 * 0.72I = 0.18I, remainder = 0.72I - 0.18I = 0.54I Given remainder = Rs. 1944 So, 0.54I = 1944 => I = 1944 / 0.54 = 3600 Therefore, correct answer is A: Rs. 3600. The original correct_answer was 'X' (invalid), corrected to 'A'.

Given that 200% of a number is 90, we find the number by dividing 90 by 2 (since 200% = 2 times the number). This gives the number as 45. Then, 80% of 45 is calculated as 0.8 × 45 = 36. Therefore, the correct answer is option C (36).

The broker's income is the product of the commission rate and the business volume. If the commission rate increases from 4% to 5% but the income remains unchanged, the business volume must decrease to offset the higher commission rate. Let the original business volume be 100 units. The original income is 4% of 100 = 4 units. The new income is 5% of the new business volume x, which equals 4 units (unchanged income). So, 5% of x = 4, which gives x = 4 / 0.05 = 80 units. The business volume has decreased from 100 to 80 units, which is a 20% decrease. Therefore, the percentage slump in business is 20%.

To find what percent 16 is of 125, divide 16 by 125 and multiply by 100: (16/125)*100 = 12.8%. This is equivalent to 12 4/5%, which is not listed among the options. The options given are 10 2/5%, 12 3/5%, 11 1/5%, and None of these. Since 12 4/5% is not among the options, the correct answer is 'D' (None of these).

Let the initial population be x. After 5% died, population = 0.95x. Then 15% of the remainder left, so population = 0.85 × 0.95x = 0.8075x. Given final population is 3553, so 0.8075x = 3553 ⇒ x ≈ 4400. However, checking options, 4400 corresponds to option C, but calculation shows 3553/0.8075 ≈ 4400, so correct answer is C, not B. Rechecking calculation: 0.95x × 0.85 = 0.8075x; 3553 = 0.8075x ⇒ x = 3553/0.8075 ≈ 4400. So option C is correct. The original correct_answer is C, which matches the calculation. Explanation added and difficulty set to medium.

The net annual increase in population is 4% growth minus 0.5% decrease due to emigration, which equals 3.5% per year. Since the growth compounds annually, the total increase after three years is calculated as (1 + 0.035)^3 - 1 ≈ 0.1087 or 10.87%. Rounded to one decimal place, this is approximately 10.8%. Therefore, the correct answer is option D (10.8). The original answer given as A (9.8) is incorrect, and the explanation correctly supports option D.

To find what percent of A's mark is B's mark, we calculate (B's marks / A's marks) × 100 = (60 / 80) × 100 = 0.75 × 100 = 75%. Therefore, B's marks are 75% of A's marks, which corresponds to option D.