TestUstad

All Free Mathematics MCQs with Answers

Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

1,551 questions · page 32 of 78

621. Haroon purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?

  • A. Rs. 14.80
  • B. Rs. 15.40
  • C. Rs. 15.60
  • D. Rs. 16.30
  • E. Rs. 18.20

Explanation: The total cost is 30 kg x Rs. 11.50 per kg + 20 kg x Rs. 14.25 per kg = Rs. 345 + Rs. 285 = Rs. 630 for 50 kg. Cost per kg is Rs.

Read the full explanation →
Correct answer: Rs. 16.30

622. A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ?

  • A. 8%
  • B. 10%
  • C. 16%
  • D. 20%Pakistan Studies Quiz

Explanation: Take the cost price as Rs. 100, so the marked price is Rs. 100 x 120% = Rs. 120. A 30% discount gives a selling price of Rs.

Read the full explanation →
Correct answer: 16%

623. The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first 10%. What was the second discount rate ?

  • A. 12%
  • B. 14%
  • C. 15%
  • D. 18%

Explanation: The first 10% discount reduces Rs. 720 to Rs. 720 x 90% = Rs. 648. The second discount factor is Rs. 550.80 ÷ Rs.

Read the full explanation →
Correct answer: 15%

624. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price. How much profit or loss does he make, if any ?

  • A. 1% gain
  • B. 1% loss
  • C. 5% gain
  • D. No gain no loss

Explanation: Let the cost price be Rs. 100. The marked price is Rs. 110, and after a 10% discount the selling price is Rs. 110 x 90% = Rs.

Read the full explanation →
Correct answer: 1% loss

625. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:________?

  • A. Rs. 768
  • B. Rs. 968
  • C. Rs. 1960
  • D. Rs. 2400

Explanation: For 2 years at 14% per year, the rate-time product is 0.14 x 2 = 0.28. True discount equals S x 0.28 ÷ 1.28, so 168 rupees = S x 0.28 ÷…

Read the full explanation →
Correct answer: Rs. 768

626. The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:

  • A. Rs. 1325
  • B. Rs. 1300
  • C. Rs. 1350
  • D. Rs. 1500

Explanation: The two equal installments are Rs. 1404 ÷ 2 = Rs. 702 each, due after 0.5 year and 1 year.

Read the full explanation →
Correct answer: Rs. 1325

627. The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:_______?

  • A. Rs. 1800
  • B. Rs. 1450
  • C. Rs. 1360
  • D. Rs. 6800

Explanation: If the principal is P and the rate-time product is r x t, simple interest is P x r x t = Rs.

Read the full explanation →
Correct answer: Rs. 1360

628. The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:

  • A. 12%
  • B. 14%
  • C. 15%
  • D. 16%Standardized & Admissions Tests

Explanation: The simple interest on Rs. 750 for 2 years is Rs. 750 x 2r. The true discount on Rs. 960 due in 2 years is Rs.

Read the full explanation →
Correct answer: 14%

629. Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

  • A. Rs. 10
  • B. Rs. 10.40
  • C. Rs. 15.20
  • D. Rs. 13

Explanation: For the original time, the present value is Rs. 260 - Rs. 20 = Rs. 240, so the interest ratio is Rs. 20/Rs. 240 = 1/12.

Read the full explanation →
Correct answer: Rs. 10.40

630. The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:

  • A. 6 months
  • B. 8 months
  • C. 9 months
  • D. 10 monthsCredit & Lending

Explanation: The present value of the bill is Rs. 1760 - Rs. 160 = Rs. 1600. Thus, for the given time, simple interest is Rs. 160/Rs.

Read the full explanation →
Correct answer: 10 monthsCredit & Lending

631. 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

632. 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

633. 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

634. 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

635. 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

636. 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%

637. 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%

638. 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

639. 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

640. 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
Start Free Mathematics Practice MCQs Test