What is 25% of 480?
Correct answer: A. 120
25% is one-fourth, so 25% of 480 = 480 ÷ 4 = 120. Recognising common percentages as fractions (50% = 1/2, 25% = 1/4, 20% = 1/5) saves time without a calculator.
Read detailsNext CSE-PPT: 14 March 2027 · Professional & Subprofessional
Civil Service Exam numerical ability reviewer on percentages: percent of a number, percent change, successive discounts, markups, VAT, commission, profit and loss, and simple and compound interest.
Percentage problems appear throughout the Numerical Ability part of the exam, in discounts, increases, taxes, commissions, grades and interest. This set covers the main types, including the classic traps: successive changes that do not cancel, percentage points versus percent change, and prices that already include VAT.
Every answer in this set was calculated and checked by script. Calculators are not allowed in the Civil Service Exam, so practise each item on paper and look for the shortcut shown in the explanation.
Correct answer: A. 120
25% is one-fourth, so 25% of 480 = 480 ÷ 4 = 120. Recognising common percentages as fractions (50% = 1/2, 25% = 1/4, 20% = 1/5) saves time without a calculator.
Read detailsCorrect answer: D. 16%
Percent = part ÷ whole × 100 = 40 ÷ 250 × 100 = 16%. A quick method: 1% of 250 is 2.5, and 40 ÷ 2.5 = 16. Always divide by the whole, which here is 250.
Read detailsCorrect answer: C. 920
15% of 800 is 120 (10% is 80 and 5% is 40), so the result is 800 + 120 = 920. Adding 15 instead of 15% gives the wrong answer 815.
Read detailsCorrect answer: A. 42,000
5% of 40,000 is 2,000 (1% is 400, so 5% is 2,000). The new population is 40,000 + 2,000 = 42,000. Finding 1% first is a reliable mental method.
Read detailsCorrect answer: C. ₱960
After the markup: ₱1,000 × 1.20 = ₱1,200. After the 20% reduction: ₱1,200 × 0.80 = ₱960. The two changes do not cancel, because the second 20% is taken from a larger amount.
Read detailsCorrect answer: D. ₱3,600
Apply the discounts one after the other: ₱5,000 × 0.80 = ₱4,000, then ₱4,000 × 0.90 = ₱3,600. Successive discounts of 20% and 10% equal a single discount of 28%, not 30%.
Read detailsCorrect answer: C. ₱4,500
1% of ₱150,000 is ₱1,500, so 3% is ₱4,500. Commission questions are simply "percent of" questions: rate × amount. Multiply directly: 0.03 × 150,000 = 4,500.
Read detailsCorrect answer: B. ₱2,700
Simple interest = principal × rate × time = ₱15,000 × 0.06 × 3 = ₱2,700. One year of interest is ₱900, and three years give three times that.
Read detailsCorrect answer: C. ₱12,100
Year 1: ₱10,000 + ₱1,000 = ₱11,000. Year 2: ₱11,000 + ₱1,100 = ₱12,100. With compounding, the second year's interest is earned on the first year's interest too, so the total exceeds the simple-interest amount of ₱12,000.
Read detailsCorrect answer: A. 5%
Rate = interest ÷ (principal × time) = 1,200 ÷ (8,000 × 3) = 1,200 ÷ 24,000 = 0.05, or 5%. The 15% option is the total interest over three years, not the yearly rate.
Read detailsCorrect answer: A. ₱10,000
Principal = interest ÷ (rate × time) = 900 ÷ (0.045 × 2) = 900 ÷ 0.09 = ₱10,000. Check: ₱10,000 × 0.045 × 2 = ₱900. Rearranging I = P × r × t gives P = I ÷ (r × t).
Read detailsCorrect answer: D. ₱2,700
9% of ₱30,000: 1% is ₱300, so 9% is ₱2,700. Alternatively, 10% is ₱3,000 and 1% is ₱300, so 9% = ₱3,000 − ₱300 = ₱2,700.
Read detailsCorrect answer: D. 25%
The rate rose by 3 percentage points, but the percent increase is 3 ÷ 12 × 100 = 25%. Percentage points measure the simple difference; percent change compares it with the original value.
Read detailsCorrect answer: A. 85%
Score = 68 ÷ 80 × 100 = 85%. A quick method: each item is worth 100 ÷ 80 = 1.25%, and 68 × 1.25 = 85. The passing rating in the CSE is a general rating of 80.00, which is computed by the CSC, not simply the percentage of correct items.
Read detailsCorrect answer: B. ₱500
The VAT-inclusive price is 112% of the base price, so base price = 560 ÷ 1.12 = ₱500. Subtracting 12% of ₱560 (giving ₱492.80) is wrong, because VAT is computed on the base price, not on the total.
Read detailsCorrect answer: A. 20%
Discount = ₱300. Rate of discount = 300 ÷ 1,500 × 100 = 20%, based on the regular price. Dividing by the sale price would wrongly give 25%.
Read detailsCorrect answer: B. 15%
Profit = ₱690 − ₱600 = ₱90. Profit percentage based on cost = 90 ÷ 600 × 100 = 15%. Based on the selling price it would be about 13%, so always check which base the question asks for.
Read detailsCorrect answer: C. 15%
Loss = ₱300. Percentage loss = 300 ÷ 2,000 × 100 = 15%, based on the cost. Using the selling price as the base would give about 17.6%, which is incorrect here.
Read detailsCorrect answer: D. 98
If 30% is 42, then 10% is 14, and 70% is 7 × 14 = 98. There is no need to find the whole number (140) first, although doing so gives the same result.
Read detailsCorrect answer: B. ₱720
Interest per month = 1% of ₱12,000 = ₱120. For 6 months: ₱120 × 6 = ₱720. Watch the time unit: here the rate is per month, so time is counted in months.
Read details