A merchant borrowed ₹25,000 at 10% simple interest. He lent the entire amount to another person at 12% simple interest. After 5 years, what is his gain?

The correct answer is A: ₹5,000. Step 1: Interest paid by merchant = (25,000 × 10 × 5) / 100 = ₹12,500. Step 2: Interest earned by merchant = (25,000 × 12 × 5) / 100 = ₹15,000. Step 3: Gain = 15,000 - 12,500 = ₹2,500. This doesn't match options. Rechecking: If he gains on both principal positions, gain = difference in rates × princ

A person spends 25% of his income on rent, 20% on food, and 15% on transport. If remaining income is ₹8,000, what is his total income?

The correct answer is C: ₹20,000. Total spent = 25% + 20% + 15% = 60%. Remaining = 40% = ₹8,000. Total income = 8,000/0.40 = ₹20,000

A sum of ₹15,000 is invested at 7.5% simple interest p.a. In how much time will it earn an interest of ₹3,750?

The correct answer is B: 3 years. Using T = (SI × 100)/(P × R) = (3750 × 100)/(15000 × 7.5) = 3 years

A sum amounts to Rs. 13310 in 3 years at 10% per annum compound interest. What is the principal?

The correct answer is B: Rs. 10000. A = P(1.1)³ = P × 1.331. 13310 = P × 1.331. P = 10000.

A number is increased by 20% and then decreased by 20%. What is the net change?

The correct answer is B: 4% decrease. Let number = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net decrease = 4%

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Quantitative aptitude questions for competitive exams

47 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 31–40 of 47

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.31 Easy Percentage

If a number is increased by 25% and then decreased by 20%, what is the net percentage change?

A 5% increase

B 0% change

C 5% decrease

D 10% increase

Correct Answer: A. 5% increase

EXPLANATION

Let number = 100. After 25% increase = 125. After 20% decrease on 125 = 125 × 0.8 = 100. Net change = 0%. Wait, recalculate: 100 → 125 → 125 × 0.8 = 100. Actually net is 0%, but let me verify: 100 × 1.25 × 0.8 = 100. Net change is 0%. Actually the answer should be B.

Test

Q.32 Easy Percentage

In 2024, a company had 500 employees. In 2025, it increased workforce by 18%. How many employees does it have now?

A 590 employees

B 610 employees

C 620 employees

D 650 employees

Correct Answer: A. 590 employees

EXPLANATION

New employees = 500 × (1 + 0.18) = 500 × 1.18 = 590.

Test

Q.33 Easy Percentage

The ratio of boys to girls in a school is 3:2. What percentage of students are girls?

A 30%

B 40%

C 50%

D 60%

Correct Answer: B. 40%

EXPLANATION

Total parts = 3 + 2 = 5. Girls = 2/5 = 0.4 = 40%.

Test

Q.34 Easy Percentage

A factory produces 5000 units. Due to machinery issues, production decreases by 30%. How many units are produced now?

A 3000 units

B 3200 units

C 3500 units

D 4000 units

Correct Answer: C. 3500 units

EXPLANATION

New production = 5000 × (1 - 0.30) = 5000 × 0.70 = 3500 units.

Test

Q.35 Easy Percentage

A student scored 65% in English and 75% in Mathematics. What is the average percentage across both subjects?

A 68%

B 70%

C 72%

D 75%

Correct Answer: B. 70%

EXPLANATION

Average = (65 + 75)/2 = 140/2 = 70%.

Test

Q.36 Easy Percentage

A man's income increases from ₹25,000 to ₹30,000. What is the percentage increase in his income?

A 16%

B 18%

C 20%

D 25%

Correct Answer: C. 20%

EXPLANATION

Increase = 30,000 - 25,000 = 5,000. Percentage = (5,000/25,000) × 100 = 20%.

Test

Q.37 Easy Percentage

A retailer sells a product at ₹440 after giving a 12% discount on the marked price. What is the marked price?

A ₹500

B ₹490

C ₹480

D ₹450

Correct Answer: A. ₹500

EXPLANATION

Let MP = x. SP = x × (1 - 0.12) = 0.88x = 440. x = 440/0.88 = 500.

Test

Q.38 Easy Percentage

The price of sugar increased by 20% in Q1 2024 and by another 10% in Q2. What is the total percentage increase?

A 30%

B 32%

C 35%

D 40%

Correct Answer: B. 32%

EXPLANATION

Let original price = 100. After 20% increase: 120. After 10% increase: 120 × 1.10 = 132. Total increase = 32%.

Test

Q.39 Easy Percentage

A man spends 40% of his salary on food and 30% on rent. He saves ₹3000 monthly. What is his total salary?

A ₹10,000

B ₹12,000

C ₹15,000

D ₹20,000

Correct Answer: C. ₹15,000

EXPLANATION

Let salary = x. Spent = 40% + 30% = 70%. Saved = 30% of x = 3000. So x = 3000/0.30 = 10,000. Wait, that's option A. Let me recalculate: 0.30x = 3000, x = 10,000. But answer marked C (15,000). If 40% + 30% = 70%, then savings = 30%, so x = 10,000. There may be an error in the marked answer.

Test

Q.40 Easy Percentage

If a product's price is increased by 15% and then reduced by 15%, what is the overall percentage change?

A No change

B 2.25% decrease

C 2.25% increase

D 15% decrease

Correct Answer: B. 2.25% decrease

EXPLANATION

Let original price = 100. After 15% increase: 115. After 15% decrease: 115 × 0.85 = 97.75. Change = 97.75 - 100 = -2.25. Percentage change = -2.25%.

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