TestUstad

Free Arithmetic MCQs with Answers

1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.

Last updated

PercentagesRatio and ProportionProfit and LossAveragesTime, Speed and DistanceTime and Work

1,060 questions · page 20 of 53

381. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

  • A. gains Rs. 55
  • B. gains Rs. 50
  • C. loses Rs. 30
  • D. gains Rs. 30

Explanation: The Rs. 2200 received after 1 year is worth Rs. 2200/1.10 = Rs. 2000 today. Compared with the cash cost of Rs. 1950, the gain is Rs.

Read the full explanation →
Correct answer: gains Rs. 50

382. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:

  • A. Rs. 1386
  • B. Rs. 1764
  • C. Rs. 1575
  • D. Rs. 2268Fun & Trivia

Explanation: For 9 months, the interest ratio is 16% x 9/12 = 12%. True discount equals bill amount x 12/112, so the bill amount is Rs.

Read the full explanation →
Correct answer: Rs. 1764

383. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

  • A. Rs. 20
  • B. Rs. 21.81
  • C. Rs. 22
  • D. Rs. 18.33

Explanation: A bill of Rs. 110 with a true discount of Rs. 10 has a present value of Rs. 100, so the interest ratio for the original time is Rs. 10/Rs.

Read the full explanation →
Correct answer: Rs. 18.33

384. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?

  • A. Rs. 12,000 in cash
  • B. Rs. 12,880 at credit
  • C. Both are equally good
  • D. Rs. 18.33

Explanation: The present value of Rs. 12,880 due after 8 months is Rs. 12,880/(1 + 18% x 8/12) = Rs. 12,880/1.12 = Rs. 11,500. Since Rs.

Read the full explanation →
Correct answer: Rs. 12,000 in cash

385. A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?

  • A. Rs. 9025.20
  • B. Rs. 9200
  • C. Rs. 9600
  • D. Rs. 9560

Explanation: The debt of Rs. 10,028 is due after 12 months, while payment is made after 3 months, leaving 9 months of interest.

Read the full explanation →
Correct answer: Rs. 9200

386. The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:_________?

  • A. 12%
  • B. 13%
  • C. 15%
  • D. 14%

Explanation: The present value is Rs. 2562 - Rs. 122 = Rs. 2440, so the interest ratio for 4 months is Rs. 122/Rs. 2440 = 0.05.

Read the full explanation →
Correct answer: 15%

387. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

  • A. 0%
  • B. 5%
  • C. 7.5%
  • D. 10%

Explanation: The present value of the Rs. 3600 received after 2 years is Rs. 3600/(1 + 10% x 2) = Rs. 3600/1.20 = Rs. 3000.

Read the full explanation →
Correct answer: 0%

388. Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3%, it would amount to how much ?

  • A. Rs. 992
  • B. Rs. 1112
  • C. Rs. 1056
  • D. Rs. 1182Educational Resources

Explanation: The interest earned is Rs. 920 - Rs. 800 = Rs. 120 in 3 years, so the rate is Rs. 120/(Rs. 800 x 3 years) = 5% per annum.

Read the full explanation →
Correct answer: Rs. 992

389. A sum was put a simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. The sum is:

  • A. Rs.750
  • B. Rs.700
  • C. Rs.940
  • D. Rs.820

Explanation: The extra interest from a 4 percentage-point increase over 2 years is principal x 4% x 2 years. Therefore, principal x 0.08 = Rs.

Read the full explanation →
Correct answer: Rs.750

390. A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :

  • A. Rs.3100
  • B. Rs.2700
  • C. Rs.2200
  • D. Rs.1800

Explanation: Let the first investment be Rs. x and the second be Rs. y. Since one-fourth of the first equals one-fifth of the second, y = 5x/4; the…

Read the full explanation →
Correct answer: Rs.2700

391. You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate

  • A. 6%
  • B. 5%
  • C. 7%
  • D. 8%Credit & Lending

Explanation: The interest earned is $618 - $600 = $18 over 6 months, or 0.5 year. Using simple interest, the annual rate is $18/($600 x 0.5 year) =…

Read the full explanation →
Correct answer: 6%

392. How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?

  • A. 65 years
  • B. 56 years
  • C. 45 years
  • D. 57 years

Explanation: The required interest is Rs. 10,000 - Rs. 1250 = Rs. 8750. With a rate of 12.5% per annum, time = Rs. 8750/(Rs. 1250 x 0.125) = 56 years.

Read the full explanation →
Correct answer: 56 years

393. What is the rate of interest at which Rs.150 becomes Rs. 220 in 10 years.

  • A. 11/3%
  • B. 14/3%
  • C. 12%
  • D. 14%

Explanation: The interest earned is Rs. 220 - Rs. 150 = Rs. 70 over 10 years. Thus, the annual rate is Rs. 70/(Rs.

Read the full explanation →
Correct answer: 14/3%

394. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :________?

  • A. Rs. 700
  • B. Rs. 690
  • C. Rs. 650
  • D. Rs. 698

Explanation: The increase from 3 years to 4 years is Rs. 854 - Rs. 815 = Rs. 39, so the simple interest for 1 year is Rs. 39.

Read the full explanation →
Correct answer: Rs. 698

395. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs 360 more. Find the sum.

  • A. Rs.4000
  • B. Rs.9000
  • C. Rs.5000
  • D. Rs.6000

Explanation: The extra interest from a 2 percentage-point increase over 3 years is principal x 0.02 x 3 years = principal x 0.06.

Read the full explanation →
Correct answer: Rs.6000

396. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

  • A. 5%
  • B. 8%
  • C. 12%
  • D. 15%

Explanation: The increase over the extra 3 years is Rs. 12,005 - Rs. 9800 = Rs. 2205, so yearly interest is Rs. 2205/3 years = Rs. 735 per year.

Read the full explanation →
Correct answer: 12%

397. A sum of Rs. 2500 amounts to Rs. 3875 in 4 years at the rate of simple interest. What is the rate of interest?

  • A. 12.25%
  • B. 12%
  • C. 6%
  • D. 13.75%

Explanation: The simple interest is Rs. 3875 - Rs. 2500 = Rs. 1375 over 4 years. The rate is Rs. 1375/(Rs. 2500 x 4 years) x 100 = 13.75% per annum.

Read the full explanation →
Correct answer: 13.75%

398. A sum of money becomes 7⁄5 of itself in 4 years at a certain rate of simple interest. The rate per annum is :

  • A. 9%
  • B. 10%
  • C. 11%
  • D. 12%Primary & Secondary Schooling (K-12)

Explanation: An amount of 7/5 of the principal means the interest is 7/5 - 1 = 2/5, or 40% of the principal, over 4 years.

Read the full explanation →
Correct answer: 10%

399. A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.

  • A. Rs.4500
  • B. Rs.5200
  • C. Rs.1800
  • D. Rs.3000

Explanation: A receives 30% of the total profit P for management, and the remaining 70% is divided in the capital ratio 5000:6000:4000 = 5:6:4.

Read the full explanation →
Correct answer: Rs.3000

400. The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%.

  • A. 37.5 %
  • B. 38.5 %
  • C. 42 %
  • D. 27.5 %Education

Explanation: Take the marked price as Rs.100, so the cost price is 64% of Rs.100 = Rs.64.

Read the full explanation →
Correct answer: 37.5 %
Start Free Arithmetic Practice MCQs Test