A sum of ₹5000 is invested at 8% per annum for 2 years. What is the difference between compound interest and simple interest?

The correct answer is A: ₹32. SI = (5000 × 8 × 2)/100 = 800. CI = 5000(1.08)^2 - 5000 = 5832 - 5000 = 832. Difference = 832 - 800 = 32.

If the cost price is ₹2000 and profit is 15%, what is the selling price?

The correct answer is C: ₹2300. SP = 2000 × 1.15 = 2300.

A sum of Rs. 8000 becomes Rs. 9261 in 3 years at compound interest. What is the rate p.a.?

The correct answer is B: 5%. A = P(1+r/100)^3. 9261 = 8000(1+r/100)^3. (1+r/100)^3 = 9261/8000 = 1.157625. 1+r/100 = 1.05. r = 5%

An article is sold for ₹1100 at a profit of 10%. What was the cost price?

The correct answer is A: ₹1000. CP × 1.1 = 1100, so CP = 1000.

A sum becomes Rs. 3600 in 3 years at 10% p.a. compound interest. What's the principal?

The correct answer is B: Rs. 2703.67. A = P(1 + R/100)^T. 3600 = P(1.1)^3 = P(1.331). P = 3600/1.331 ≈ Rs. 2703.67.

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Quantitative Aptitude
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Quantitative aptitude questions for competitive exams

196 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 61–70 of 196

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 150 Profit and Loss 102 Time and Work 101 Percentage 101 Simple Interest 50 Average 48

Q.61 Easy Numbers

A shopkeeper marks up goods by 40% and gives a discount of 10%. What is his profit percentage?

A 26%

B 30%

C 36%

D 40%

Correct Answer: A. 26%

EXPLANATION

Profit = (1.40 × 0.90 - 1) × 100 = 1.26 - 1 = 0.26 = 26%

Test

Q.62 Easy Numbers

Simple Interest on Rs. 1000 for 2 years at 8% p.a. is?

A Rs. 160

B Rs. 166.40

C Rs. 180

D Rs. 200

Correct Answer: A. Rs. 160

EXPLANATION

SI = (P × R × T)/100 = (1000 × 8 × 2)/100 = Rs. 160.

Test

Q.63 Easy Numbers

A boat's speed in still water is 15 km/h, stream speed 3 km/h. What's downstream speed?

A 12 km/h

B 18 km/h

C 15 km/h

D 5 km/h

Correct Answer: B. 18 km/h

EXPLANATION

Downstream speed = boat speed + stream speed = 15 + 3 = 18 km/h.

Test

Q.64 Easy Numbers

Two trains 120m and 180m long run towards each other at 40 km/h and 50 km/h. Time to cross?

A 10.8 seconds

B 14.4 seconds

C 12 seconds

D 15.6 seconds

Correct Answer: A. 10.8 seconds

EXPLANATION

Relative speed = 40 + 50 = 90 km/h = 25 m/s. Total distance = 120 + 180 = 300m. Time = 300/25 = 12 seconds. [Recalc: 12 seconds should match option C. Time = 300/25 = 12 seconds]

Test

Q.65 Easy Numbers

Pipe A fills a tank in 12 hours, Pipe B empties it in 18 hours. If both open together, how long to fill?

A 30 hours

B 36 hours

C 24 hours

D 40 hours

Correct Answer: B. 36 hours

EXPLANATION

Net rate = 1/12 - 1/18 = 3/36 - 2/36 = 1/36. Time = 36 hours.

Test

Q.66 Easy Numbers

A can complete a work in 15 days, B in 20 days. How many days will they take working together?

A 6 days

B 8 days

C 8.57 days

D 7.5 days

Correct Answer: C. 8.57 days

EXPLANATION

A's work rate = 1/15, B's rate = 1/20. Combined = 1/15 + 1/20 = 7/60. Time = 60/7 ≈ 8.57 days.

Test

Q.67 Easy Numbers

A shopkeeper sells an item at Rs. 480 with 20% profit. What is the cost price?

A Rs. 350

B Rs. 400

C Rs. 360

D Rs. 420

Correct Answer: B. Rs. 400

EXPLANATION

SP = CP × (1 + profit%). 480 = CP × 1.2. CP = 480/1.2 = Rs. 400.

Test

Q.68 Easy Numbers

A number is increased by 30%, then decreased by 20%. What is the net percentage change?

A 4% increase

B 10% increase

C 4% decrease

D 10% decrease

Correct Answer: A. 4% increase

EXPLANATION

Let number = 100. After 30% increase: 130. After 20% decrease: 130 × 0.8 = 104. Net change = 4% increase.

Test

Q.69 Easy Numbers

If 60% of a number equals 180, what is 75% of that number?

A 225

B 240

C 250

D 280

Correct Answer: A. 225

EXPLANATION

Number = 180/0.6 = 300. 75% of 300 = 225

Test

Q.70 Easy Numbers

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

A No change

B 4% decrease

C 4% increase

D 5% decrease

Correct Answer: B. 4% decrease

EXPLANATION

Let number = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net decrease = 4%

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