Question types

Simple Interest and Compound Interest question types

84 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

84
Questions
6
Question groups
5
Question types
Sample Questions

Simple Interest and Compound Interest questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 6[3 marks sum]3 Marks
A sum of money invested at $6 \%$ p.a. simple interest for a certain period of time yields $₹ 960$ as interest. If this sum had been invested for 5 years more, it would have yielded $₹ 2160$ as interest. Find the sum.
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Q 8[3 marks sum]3 Marks
Two equal sums of money were lent at simple interest at $11 \%$ p.a. for $3 \frac{1}{2}$ years and $4 \frac{1}{2}$ years respectively. If the difference in interests for two periods was ₹ 412.50 , find each sum.
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Q 10[3 marks sum]3 Marks
What sum of money lent at $12 \frac{1}{2} \%$ per annum will produce the same interest in 4 years as ₹ 8560 produces in 5 years at $12 \%$ per annum?
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Q 11[4 marks sum]4 Marks
Simple interest on a certain sum is $\frac{9}{16}$ of the sum. Find the rate per cent and the time if both are numerically equal.
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Q 15[4 marks sum]4 Marks
Ashish lent $₹ 10500$ to Sunidhi at $7 \%$ per annum simple interest. After 5 years, Sunidhi discharged the debt by giving a watch and ₹ 13000 in cash. What is the value of the watch?
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Q 18[5 marks sum]5 Marks
A sum of money was put at simple interest at a certain rate for 2 years. If this sum had been put at $3 \%$ higher rate, it would have earned ₹ 720 more as interest. Find the sum.
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Q 19[5 marks sum]5 Marks
Naveen and Praveen borrowed $₹ 42000$ and $₹ 55000$ respectively for $3 \frac{1}{2}$ years at the same rate of interest. If Praveen has to pay ₹ 3640 more than Naveen, find the rate of interest.
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Q 20[5 marks sum]5 Marks
Divide $₹ 6000$ into two parts so that the simple interest on the first part for 9 months at $12 \%$ per annum is equal to the simple interest on the second part for $1 \frac{1}{2}$ years at $10 \%$ per annum.
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If the compound interest (compounded annually) on a sum of money at a certain rate of interest for $n$ years is equal to the simple interest on the same sum at the same rate for the same period, then $n=$ __________ .
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The basic difference between simple interest and compound interest is that in simple interest, the __________ remains same throughout the loan period while in compound interest it varies.
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If S.I. and C.I. denote simple interest and compound interest respectively on the same sum at the same rate of interest for the same period, then the relation between S.I. and C.I. is __________
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Q 25MCQ1 Mark
Consider the following statements:
If a sum of money is loaned at simple interest, then the
(i) Money gets doubled in 5 years if the rate of interest is $16 \frac{2}{3} \%$. p.a.
(ii) Money gets doubled in 5 years if the rate of interest is $20 \%$. p.a.
(iii) Money becomes four times in 10 years if it gets doubled in 5 years. Of these statements,
  • A
    (i) and (iii) are correct
  • (ii) alone is correct
  • C
    (ii) and (iii) are correct
  • D
    (iii) alone is correct

Answer: B.

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Q 26MCQ1 Mark
Rahul lent ₹ 6000 to Manick for 2 years and ₹ 1500 to Ariffor 4 years and received altogether from both ₹ 900 as simple interest. The rate of interest is
  • A
    $4 \%$ p.a.
  • $5 \%$ p.a.
  • C
    $10 \%$ p.a.
  • D
    $12 \%$ p.a

Answer: B.

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Q 27MCQ1 Mark
₹ 800 amounts to ₹ 920 in 3 years at simple interest. If the interest rate is increased by $3 \%$, it would amount to
  • ₹ 992
  • B
    ₹ 1056
  • C
    ₹ 1112
  • D
    ₹ 1182

Answer: A.

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Q 28MCQ1 Mark
$B$ borrowed $₹ 720$ form $A$ at $8 \%$ simple interest for 3 years and lent the same sum to $C$ at $10 \frac{1}{2} \%$, simple interest for 2 years. In the whole transaction $B$.
  • lost ₹ 21.60
  • B
    gained ₹ 21.60
  • C
    neither gained nor lost
  • D
    none of these

Answer: A.

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Q 29MCQ1 Mark
A lends a sum of money for 10 years at $5 \%$ simple interest. B lends double that amount for 5 years at the same rate of interest. Which of the following statements is true in this regard?
  • A
    A will get twice the amount of interest that B would get.
  • B
    B will get twice the amount of interest that A would get.
  • A and B will get the same amount as interest.
  • D
    B will get four times the amount of interest that A would get.

Answer: C.

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