Class 8 math chapter 4 MCQ and one word questions
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Multiple Choice Questions and Answers:
The equation y = mx + c is used to calculate the total savings or deposit amount for any given month. Based on the provided information, answer questions 1-3:
1. What does m represent in the equation?
a) Total deposit
b) Installment amount
c) Number of installments
d) Initial deposit
Answer: b) Installment amount
2. What represents the initial deposit in the given equation?
a) y
b) m
c) x
d) c
Answer: d) c
3. Which represents the total deposit?
a) y
b) c
c) x
d) m
Answer: a) y
4. What is School Banking?
i. Encouraging students for future development through school students
ii. Small amounts of money can be deposited in the bank for regular profits
iii. Students will perform banking duties
Which of the following is correct?
a) i and ii
b) i and iii
c) ii and iii
d) i, ii, and iii
Answer: a) i and ii
5. How many types of profits can there be?
a) 2
b) 3
c) 4
d) 5
Answer: a) 2
6. What is called the profit given only on the initial capital?
a) Profit-Principal
b) Compound interest
c) Profit
√d) Simple interest
7. If the profit rate is 7%, what will be the profit on 100 taka for 3 years?
a) 7 taka
b) 14 taka
√c) 21 taka
d) 25 taka
8. Which of the following is the formula to determine the rate of simple interest?
√a) \[ r = \frac{1}{Pn} \]
b) \[ r = \frac{P}{In} \]
c) \[ r = IPn \]
d) \[ r = \frac{n}{PI} \]
9. Which of the following is the formula to determine the principal of simple interest?
a) \[ P = \frac{r}{nl} \]
√b) \[ P = \frac{1}{rn} \]
c) \[ P = \frac{n}{Ir} \]
d) \[ P = Irn \]
10. What will be the profit for 3 years on 15000 taka at the rate of 12%?
a) 4500 taka
b) 4800 taka
√c) 6300 taka
d) 6400 taka
11. When the time period is n, the formula for simple interest will be —
a) \[ I = \frac{Pn}{r} \]
b) \[ I = Pr \]
c) \[ I = \frac{Pr}{n} \]
√d) \[ I = Prn \]
12. At the rate of 12%, what is the principal amount if the interest for 3 years is 720 taka? (New question)
a) 1500 taka
√b) 630 taka
c) 500 taka
d) 550 taka
13. What is the principal if the interest on 420 taka at the rate of 7% is?
a) 3264 taka
√b) 3260 taka
c) 3000 taka
d) 1200 taka
8th class Math Chapter 3 Short and Multiple Choice Questions
14. At the rate of 12%, how many years will it take for the principal to quadruple?
a) 25
b) 20
√c) 15
d) 30
15. At the rate of 5%, what will be the profit on 100 taka for 3 years?
√a) 15 taka
b) 12 taka
c) 20 taka
d) 10 taka
16. At the rate of 5%, if the interest for 4 years is 40 taka, what is the principal amount?
a) 100 taka
b) 200 taka
√c) 300 taka
d) 400 taka
17. If the time period is 1 year, which of the following is the formula to determine the interest?
a) \[ I = Pnr \]
√b) \[ I = Pr \]
c) \[ I = \frac{Pn}{r} \]
d) \[ I = \frac{Pr}{n} \]
18. At what annual percentage rate will the interest on 500 taka for 5 years be 250 taka?
√a) 10%
b) 12%
c) 15%
d) 8%
19. If \[ P = 1200 \] taka, \[ r = 5\% \], and \[ n = 2 \], what will be \[ I \]?
a) 80 taka
b) 600 taka
c) 300 taka
√d) 120 taka
20. Mr. Riyaz deposited 2800 taka in the bank at 7% interest rate. How much interest will he get after 5 years?
a) 850 taka
b) 980 taka
√c) 870 taka
d) 990 taka
21. What is the term used for the new principal after a certain period of time?
a) Initial principal
√b) Compound principal
c) Final principal
d) Simple interest
22. Which of the following is the symbol for compound principal?
√a) A
b) C
c) P
d) I
23. What is the term for the principal on which the interest is calculated?
√a) Initial principal
b) Compound principal
c) Final principal
d) Simple interest
24. Which of the following is the symbol for initial principal?
a) A
b) C
√c) P
d) I
25. Simple interest is calculated on what?
a) Compound principal
√b) Initial principal
c) Cost price
d) Simple interest
26. Which of the following is the equation for compound principal after the first year?
√a) \[ A = P \times (1 + r) \]
b) \[ A = P \times (1 + r)^n \]
c) \[ A = P \times (1 + r) – P \]
d) \[ A = P \times (1 + r)^n \]
27. Which of the following is the equation for compound principal after the second year?
a) \[ A = P \times (1 + r) \]
√b) \[ A = P \times (1 + r)^2 \]
c) \[ A = P \times (1 + r)^3 \]
d) \[ A = P \times (1 + r)^8 \]
28. Which of the following is the equation for compound principal after the third year?
a) \[ A = P \times (1 + r) \]
b) \[ A = P \times (1 + r)^2 \]
√c) \[ A = P \times (1 + r)^3 \]
d) \[ A = P \times (1 + r)^8 \]
29. What is the index of \[ (1 + r) \] in the compound principal equation after the first year?
a) 2
√b) 1
c) 0
d) \[ n \]
30. In the formula \[ C = P \times (1 + r)^n – P \],
a) \[ C = Principal \]
b) \[ r = Interest \]
c) \[ P = Interest-Principal \]
√d) \[ n = Time \]
31. What is the index of \[ (1 + r) \] for compound principal after the third year?
a) 2
b) 1
√c) 3
d) 4
32. Which of the following is the formula for determining compound interest?
a) \[ Pnr \]
b) \[ P \times (1 + r)^n \]
√c) \[ P \times [(1 + r)^n – 1] \]
d) \[ P \times (1 + r) \]
33. In the case of compound interest, what should be done to the principal at the end of the year to obtain the new principal?
√a) Add
b) Subtract
c) Multiply
d) Divide
34. What is the term used for the interest calculated on the increased principal each year?
a) Interest
b) Simple interest
c) Principal
√d) Compound interest
35. What will be the compound principal after 1 year if 1200 is invested in a bank at 10% interest?
a) 1220
√b) 1300
c) 1000
d) 1210
36. What will be the compound principal after 3 years if 4500 is invested in a bank at 5% interest?
√a) 5209.31
b) 5100
c) 5010.32
d) 5200
37. What is the index of \[ (1 + r) \] for compound principal after \[ n \] years?
a) \[ n + 1 \]
b) \[ n – 1 \]
√c) \[ n \]
d) \[ n – 2 \]
38. Which of the following is correct in the case of loss?
a) Selling price – Cost price
b) Selling price + Cost price
√c) Cost price – Selling price
d) Cost price ÷ Selling price
39. Which of the following is correct in the case of profit?
√a) Selling price – Cost price
b) Selling price ÷ Cost price
c) Cost price – Selling price
d) Selling price + Cost price
40. What does profit or loss depend on?
√a) Cost price
b) Selling price
c) Approximate cost
d) All of the above
41. What happens when the selling price is less than the cost price?
a) Profit
√b) Loss
c) Equal
d) Debt
42. When there is neither profit nor loss?
a) Selling price > Cost price
b) Cost price > Selling price
√c) Selling price = Cost price
d) Selling price ≠ Cost price
43. Under which condition is there profit?
a) Cost price > Selling price
√b) Selling price > Cost price
c) Cost price = Selling price
d) Cost price + Selling price = 0
44. If a product is sold at a 10% profit, what will be the selling price?
a) 90
b) 100
√c) 110
d) 120
45. If a watch is purchased for 7500, at what price should it be sold to gain an 8% profit? (Sample question)
√a) 8100
b) 8500
c) 9000
d) 9600
46. What is the cost price of 12 eggs if the cost price of one dozen eggs is 80?
√a) 120
b) 124
c) 128
d) 132
47. What is the selling price of 12 eggs?
a) 123
b) 124
c) 128
√d) 132
48. What is the profit on one dozen eggs?
√a) 4
b) 5
c) 6
d) 7
One word question and answer
Question 1: How are students encouraged for future development through small savings?
Answer: School banking.
Question 2: What can students receive by depositing small amounts of money in the bank through school banking?
Answer: Regular interest.
Question 3: What is important to know in order to calculate the proper savings and interest?
Answer: Mathematical calculations.
Question 4: What can the interest rate be?
Answer: Variable.
Question 5: What does an interest rate of 7% mean?
Answer: 7 Taka as interest for 100 Taka in one year.
Question 6: What is the equation to determine the total savings or deposit?
Answer: y = mx + c
(Total deposit = installment amount × number of installments + initial deposit)
Question 7: What does c represent in the equation y = mx + c?
Answer: Initial deposit.
Simple Interest | Textbook, Page 74
Question 8: How many types of interest are there?
Answer: Two types.
Question 9: What are the two types of interest?
Answer: Simple interest and compound interest.
Question 10: What is the interest given only on the initial principal called?
Answer: Simple interest.
Question 11: What is the simple interest for 100 Taka at a rate of 7% for 2 years?
Answer: 14 Taka.
Question 12: What is the simple interest for 3000 Taka at a rate of 7% for 6 years?
Answer: 1260 Taka.
Question 13: What is the formula for simple interest?
Answer: I = Pnr
Question 14: What does “profit” mean?
Answer: Simple interest.
Question 15: What is the formula to determine the time period for simple interest?
Answer: Time period, \[ n = \frac{I}{Pr} \].
Question 16: What is the interest for 750 rupees at 5% for 4 years?
Answer: 150 rupees.
Question 17: What annual percentage interest will make the interest on 3000 rupees 1500 rupees for 5 years?
Answer: 10%.
Question 18: What is the interest for 700 rupees at 5% for 1 year?
Answer: 35 rupees.
Question 19: How many years will it take for the interest on 5000 rupees at 5% to become 250 rupees?
Answer: 1 year.
Question 20: What do we call the final interest that is obtained by adding the interest to the principal at the end of each time period, treating the new sum as the principal?
Answer: Compound interest.
Question 21: What symbol represents compound interest?
Answer: C.
Question 22: What is the new capital called after a specific period of time?
Answer: Compound capital.
Question 23: What type of capital is used for indexing?
Answer: Initial capital.
Question 24: What is the formula for compound interest capital?
Answer: \[ A = P \times (1 + r)^n \].
Question 25: At 8% compound interest, if 10,000 is invested for 5 years, and interest is calculated every 6 months, what value of \[ n \] should be used in the compound interest formula? (Sample question)
Answer: 10.
Question 26: At 6% interest, what is the compound capital for 3000 in 1 year?
Answer: 3180.
Question 27: At 6% interest, what is the compound interest for 3000 in 3 years?
Answer: 540.
Question 28: What is the profit when compound capital \[ A \] and profit \[ C \], and initial capital \[ P \] are given?
Answer: \[ C = A – P \].
Question 29: What is the formula for determining the initial capital in compound interest?
Answer: \[ P = \frac{A}{(1 + r)^n} \].
Question 30: How is profit typically given over time?
Answer: Annually.
Question 31: What happens when the selling price of a product is greater than its cost price in terms of profit or loss?
Answer: Profit.
Question 32: What is the formula for profit?
Answer: Profit = Selling Price – Cost Price.
Question 33: What is the formula for loss?
Answer: Loss = Cost Price – Selling Price.
Question 34: What do we call the amount of money invested in a business?
Answer: Capital.
Question 35: What do we call the amount of profit earned for every 100 Taka of cost price?
Answer: Percentage profit.
Question 36: Shanta’s father invested 30 thousand Taka and got back 40 thousand Taka. Did he make a profit or a loss?
Answer: He made a profit.
Question 37: If an item bought for 80 Taka is sold for 100 Taka, what is the percentage profit?
Answer: 25%.
Question 38: If a product is bought for 50 Taka and sold for 20 Taka, what is the percentage loss?
Answer: 60%.
Question 39: If a watch is sold for 108 Taka with an 8% profit, what is the cost price of the watch?
Answer: 100 Taka.
Question 40: If 700 watches are bought at 350 Taka each and all the watches are sold for 2 lakh Taka, what happens?
Answer: There will be a loss.
