Vidaara.orgClass 9 · Mathematics
CodeVID-M9-16-CT
Compound Interest — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
For the first year, CI and SI are:
- A.equal
- B.unequal
- C.zero
- D.negative
2.
The compound amount formula is:
- A.$A=P(1+\tfrac{R}{100})^n$
- B.$A=P+\tfrac{PRT}{100}$
- C.$A=\tfrac{PRT}{100}$
- D.$A=Pn$
3.
For half-yearly compounding, the periods are:
- A.halved
- B.doubled
- C.unchanged
- D.tripled
4.
Under CI, the year-end amount becomes the next year's:
- A.interest
- B.principal
- C.rate
- D.time
5.
Compound interest $=$
- A.$A+P$
- B.$A-P$
- C.$P-A$
- D.$A\times P$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the SI on Rs $1000$ at $10\%$ for $1$ year.
7.
Find $A$ for $P=2000$, $R=10\%$, $n=2$.
8.
For $10\%$ per annum compounded half-yearly, what is the rate per half-year?
9.
Under CI, what is the new principal after $1$ year on Rs $1000$ at $10\%$?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the CI on Rs $1000$ at $10\%$ for $2$ years (year-by-year).
11.
Find the CI on Rs $4000$ at $5\%$ per annum for $2$ years.
12.
Find the amount on Rs $8000$ at $10\%$ p.a. for $1$ year, compounded half-yearly.
13.
Find the CI on Rs $2000$ at $5\%$ for $2$ years (year-by-year).
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find the compound interest on Rs $8000$ at $10\%$ per annum for $2$ years using the year-by-year method.
15.
Find the compound interest on Rs $15625$ at $4\%$ per annum for $3$ years.
Answer Key
Section A — Multiple Choice Questions
- (A) equal
- (A) $A=P(1+\tfrac{R}{100})^n$
- (B) doubled
- (B) principal
- (B) $A-P$
Section B — Short Answer (2 marks)
- Rs $100$.
- Rs $2420$.
- $5\%$.
- Rs $1100$.
Section C — Short Answer (3 marks)
- Rs $210$.
- Rs $410$.
- Rs $8820$.
- Rs $205$.
Section D — Long Answer (5 marks)
- Rs $1680$.
- Rs $1951$.
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