NA02 — Percentage, Ratio & Proportion

✈ AFCAT General Ability20 Questions · No Negative Marking

Question 1 of 20

35% of 280 is: (AFCAT PYQ)

A91 B96 C98 D105

35% of 280 = (35/100) × 280 = 35 × 2.8 = 98. Shortcut: 10% = 28; 30% = 84; 5% = 14; 35% = 84+14 = 98.

Question 2 of 20

A number increased by 20% then decreased by 20%. Net change is: (AFCAT PYQ)

A0% change B4% decrease C4% increase D2% decrease

Net% = x + y + xy/100 = 20 + (−20) + (20 × −20)/100 = 0 − 4 = −4%. A 4% decrease. Classic AFCAT trap: many assume 0% change.

Question 3 of 20

If A:B = 2:3 and B:C = 4:5, then A:B:C = ? (AFCAT PYQ)

A8:12:15 B2:3:5 C6:8:10 D4:6:10

Make B common: A:B = 2:3 = 8:12; B:C = 4:5 = 12:15. So A:B:C = 8:12:15.

Question 4 of 20

In an election, candidate A gets 55% of total votes and wins by 2,400 votes. Total votes cast: (AFCAT PYQ)

A20,000 B24,000 C30,000 D12,000

A=55%, B=45%. Difference=10%. 10% of Total = 2,400 → Total = 24,000.

Question 5 of 20

A and B invest Rs 4,000 and Rs 6,000. B's share of a total profit of Rs 5,500 is: (AFCAT PYQ)

ARs 2,000 BRs 3,000 CRs 3,300 DRs 2,500

Ratio = 4:6 = 2:3. B's share = (3/5) × 5,500 = Rs 3,300.

Question 6 of 20

What percentage of 250 is 75? (AFCAT PYQ)

A25% B30% C35% D40%

(75/250) × 100 = 30%.

Question 7 of 20

A salary is first increased by 10% then decreased by 10%. Net change in salary: (AFCAT PYQ)

A0% change B1% decrease C1% increase D2% decrease

Net = 10 + (−10) + (10 × −10)/100 = 0 − 1 = −1%. 1% decrease.

Question 8 of 20

Ratio of two numbers is 3:5 and their sum is 160. The larger number is: (AFCAT PYQ)

A60 B80 C90 D100

Larger = 5/(3+5) × 160 = 5/8 × 160 = 100.

Question 9 of 20

If 15% of a number is 45, what is 25% of that number? (AFCAT PYQ)

A65 B70 C75 D80

15% of N = 45 → N = 300. 25% of 300 = 75.

Question 10 of 20

A trader sells goods at a profit of 20% on cost price. His profit percentage on selling price is: (AFCAT PYQ)

A16.67% B20% C25% D15%

Profit% on SP = (Profit%/(100+Profit%)) × 100 = (20/120) × 100 = 16.67%.

Question 11 of 20

The ratio of boys to girls in a class is 3:2. If there are 30 boys, the number of girls is: (AFCAT PYQ)

A15 B20 C25 D18

3:2 ratio → girls = (2/3) × 30 = 20.

Question 12 of 20

A:B:C = 2:3:4. If A's share is Rs 200, find C's share. (AFCAT PYQ)

ARs 300 BRs 350 CRs 400 DRs 450

Ratio of A to C = 2:4 = 1:2. C = 2 × 200 = Rs 400.

Question 13 of 20

In what ratio should sugar at Rs 40/kg be mixed with sugar at Rs 60/kg to get a mixture worth Rs 50/kg? (AFCAT PYQ)

A1:1 B2:3 C1:2 D3:2

Alligation: (60−50):(50−40) = 10:10 = 1:1.

Question 14 of 20

A's salary is 25% more than B's. B's salary is what percent less than A's? (AFCAT PYQ)

A20% B25% C15% D12.5%

If B = 100, A = 125. B is less than A by: (25/125) × 100 = 20%.

Question 15 of 20

Two numbers are in ratio 5:7. Their LCM is 140. Find the smaller number. (AFCAT PYQ)

A20 B25 C35 D28

5k × 7k / HCF = LCM. For ratio 5:7 (coprime), HCF = k. LCM = 5k × 7k/k = 35k = 140 → k=4. Smaller = 5×4 = 20.

Question 16 of 20

If 40% of (x − y) = 30% of (x + y), then x:y = ? (AFCAT PYQ)

A7:1 B1:7 C3:7 D7:3

0.4(x−y) = 0.3(x+y) → 4x−4y = 3x+3y → x = 7y → x:y = 7:1.

Question 17 of 20

A sum of Rs 12,000 is divided among A, B, C in the ratio 2:3:5. How much does C receive? (AFCAT PYQ)

ARs 2,400 BRs 3,600 CRs 5,000 DRs 6,000

C = (5/10) × 12,000 = Rs 6,000.

Question 18 of 20

By what percent is 60 more than 45? (AFCAT PYQ)

A25% B30% C33.33% D40%

(60−45)/45 × 100 = 15/45 × 100 = 33.33%.

Question 19 of 20

The population of a village is 20,000. It decreases by 10% in the first year and increases by 5% in the second year. Population at end of second year: (AFCAT PYQ)

A18,900 B19,000 C18,000 D17,100

After Year 1: 20,000 × 0.9 = 18,000. After Year 2: 18,000 × 1.05 = 18,900.

Question 20 of 20

If 3/4 of a number is 75, find 2/3 of that number. (AFCAT PYQ)

A60 B65 C66.67 D70

3/4 × N = 75 → N = 100. 2/3 × 100 = 66.67.