Practice Questions
Concept Explanation
Compound Interest (CI) is interest on principal plus accumulated interest. When compounded annually, interest is added once per year.
Key Formulas
- A = P(1 + R/100)^T
- CI = A − P
Example
P = Rs. 10,000, R = 10%, T = 2 years. A = 10000 × 1.1^2 = Rs. 12,100. CI = Rs. 2,100.
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Q1 Easy
CI on Rs. 10,000 at 10% for 2 years (annually) is:
ExplanationA = Rs. 12,100. CI = Rs. 2,100. -
Q2 Easy
Amount on Rs. 8,000 at 5% for 2 years compounded annually is:
ExplanationA = 8000 × 1.1025 = Rs. 8,820. -
Q3 Medium
CI on Rs. 5,000 at 20% for 2 years is:
ExplanationA = Rs. 7,200. CI = Rs. 2,200. -
Q4 Medium
Amount on Rs. 12,000 at 10% for 3 years is:
ExplanationA = 12000 × 1.331 = Rs. 15,972. -
Q5 Easy
CI on Rs. 16,000 at 5% for 2 years is:
ExplanationA = Rs. 17,640. CI = Rs. 1,640. -
Q6 Medium
CI on Rs. 20,000 at 10% for 2 years is:
ExplanationA = Rs. 24,200. CI = Rs. 4,200. -
Q7 Hard
Amount on Rs. 15,000 at 8% for 2 years is:
ExplanationA = 15000 × 1.1664 = Rs. 17,496.
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Q8 Easy
CI on Rs. 10,000 at 20% for 1 year is:
ExplanationCI for 1 year equals SI = Rs. 2,000. -
Q9 Medium
Amount on Rs. 25,000 at 4% for 2 years is:
ExplanationA = 25000 × 1.0816 = Rs. 27,040. -
Q10 Medium
Amount on Rs. 6,000 at 10% for 3 years is:
ExplanationA = 6000 × 1.331 = Rs. 7,986. -
Q11 Easy
Amount on Rs. 18,000 at 10% for 2 years is:
ExplanationA = 18000 × 1.21 = Rs. 21,780. -
Q12 Hard
Amount on Rs. 4,000 at 25% for 2 years is:
ExplanationA = 4000 × 1.5625 = Rs. 6,250. -
Q13 Medium
CI on Rs. 10,000 at 8% for 2 years is:
ExplanationA = Rs. 11,664. CI = Rs. 1,664. -
Q14 Hard
Amount on Rs. 10,000 at 5% for 3 years is:
ExplanationA = 10000 × 1.157625 = Rs. 11,576.25, approximately Rs. 11,576.
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DS1 Easy
What is the compound interest?
Statement IP = Rs. 10,000 at 10% for 2 years compounded annually.
Statement IITime is 2 years.
ExplanationStatement I alone gives CI = Rs. 2,100. -
DS2 Easy
What is the amount?
Statement IPrincipal is Rs. 8,000.
Statement IIRate is 5% compounded annually for 2 years.
ExplanationNeed P, R and T together. Amount = Rs. 8,820.
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DS3 Medium
What is the compound interest?
Statement IAmount after 2 years is Rs. 7,200.
Statement IIPrincipal is Rs. 5,000.
ExplanationTogether: CI = 7200 − 5000 = Rs. 2,200. -
DS4 Medium
Is CI greater than SI for 2 years?
Statement IP = Rs. 10,000, R = 10%, T = 2 years, compounded annually.
Statement IIRate is 10%.
ExplanationStatement I: CI = Rs. 2,100 > SI = Rs. 2,000.