Top140 Simple Interest Questions For 100% Free [Effective]

Welcome to this guide on simple interest questions. For many, the topic of interest can be confusing, especially when diving into the world of finance. If you’ve ever wondered about simple interest questions or how to work with simple interest problems, you’re in the right place.

We frequently come across the word “interest” in our daily lives, especially when talking about money. There are different types of interests, with simple interest and compound interest being the most common. Through this article, we’ll be focusing extensively on simple interest questions and simple interest problems.

For those who prefer understanding in their native language, we’ve got simple interest questions in Hindi and the simple interest formula in Hindi. Our goal is to make simple interest in Hindi understandable for everyone.

But, what exactly is the simple interest formula? It’s a method used to figure out how much interest you’ll earn or owe over a period of time. The formula is straightforward: SI = PTR/100, where P is the Principal amount, T is the Time (in years), and R is the Interest rate.

Moreover, it’s essential to know that simple interest questions and simple interest and compound interest questions often appear in competitive exams. Whether it’s SSC, SBI, Railways, or any other state exams, mastering simple interest and compound interest questions can give you an edge. If you have a clear concept of ratio and percentage, you’ll find that tackling simple interest questions becomes much more manageable.

So, let’s dive deeper into simple interest questions and help you master the topic, whether in English or simple interest in Hindi. Happy learning!

Top140 Simple Interest Questions

101. At what percentage rate, compound interest compounded annually for a sum of Rs. 40,000, will amount to Rs. 44,100 in two years?

40,000 रुपये की धनराशि 2 वर्षों में वार्षिक चक्रवृद्धि ब्याज दर से कितने प्रतिशत की दर पर 44,100 रुपये हो जाएगी?


Option”D” is correct

P = 40,000 and A = 44,100 and t = 2 years

As we know,

A = P (1 + r/100)t

44,100 = 40,000 (1 + r/100)2

(1 + r/100)2 = 44,100/40,000

(1 + r/100) = √44,100/40,000 = 21/20

r/100 = 21/20 – 1

r/100 = 1/20

r = 5%

Short Trick:

Required rate percentage = [(21 – 20)/20] × 100 = 5%

102. A sum of Rs. 2400 becomes Rs. 3600 in 6 years at a certain rate of compound interest (compounded annually). What will be the amount after 12 years at the same rate of interest?

2400 रुपए की एक राशि चक्रवृद्धि ब्याज (वार्षिक रूप से संयोजित होने पर) की एक निश्चित दर पर 6 वर्षो में 3600 रुपए हो जाती है। तो ब्याज की समान दर पर 12 वर्ष बाद राशि क्या होगी?


Option”C” is correct

A = P(1 + r/100)n

⇒ 3600 = 2400(1 + r/100)6

⇒ (1 + r/100)6 = 3/2

For 12 years,

⇒ A = 2400(1 + r/100)12

⇒ A = 2400[(1 + r/100)6]2

⇒ A = 2400 × (3/2)2 = Rs. 5400

∴ The amount after 12 years at the same rate of interest will be Rs. 5400.

Short trick,

The amount after 12 years = (3600 × 3600)/2400 = Rs. 5400

103. What is the difference between the compound interest on Rs. 10000 for two years at 20% per annum when the interests are compounded half-yearly and yearly respectively?

दो वर्षों के लिए 10000 रुपये पर 20% प्रतिवर्ष की दर से चक्रवृद्धि ब्याज में अंतर ज्ञात कीजिये जब ब्याज की गणना क्रमशः अर्धवार्षिक और वार्षिक रूप से की जाती है?


Option”D” is correct

P = 10000 and r = 20% and Time = 2 years

As we know,

A = P (1 + r/100)t

⇒ A = 10000 × (6/5) × (6/5)

⇒ A = 14400

⇒ CI = 14400 – 10000 = 4400

If interest compounded half-yearly, then

⇒ r = 20/2 = 10%

Time = 2 × 2 = 4

Again,

A = 10000 × (11/10) × (11/10) × (11/10) × (11/10)

⇒ A = 14641

⇒ CI = 14641 – 10000 = 4641

Required difference = 4641 – 4400 = 241

104. Mayank took a loan of Rs. 35000 for 4 years from a bank in such a way that for the first two years, the rate of interest is 20% CI compounded annually and for the next 2 years rate of interest is ‘R’% CI compounded annually. If the total interest given by Mayank to the bank is Rs. 25984, then what is the value of ‘R’?

मयंक एक बैंक से 4 वर्षीं के लिए 35000 रुपये का ऋण इस प्रकार लेता है कि पहले दो वर्षों के लिए, ब्याज की दर 20% वार्षिक चक्रवृद्धि ब्याज है और अगले 2 वर्षों के लिए ब्याज की दर ‘R%’ वार्षिक चक्रवृद्धि है। यदि मयंक के द्वारा बैंक को दिया गया कुल ब्याज 25984 रुपये है, तो ‘R’ का मन क्या है?


Option”B” is correct

Total amount at the end of 2 years = 35000 × (1 + 20/100)2 = Rs. 50400

Total amount at the end of 4 years = 50400 × (1 + R/100)2

According to the question,

50400 × (1 + R/100)2 = 35000 + 25984

⇒ (1 + R/100)2 = (11/10)2

∴ R = 10%

105. A sum of Rs. 8,000 invested at 10% p.a. amounts to Rs. 9,261 in a certain time, interest compounded half–yearly. What will be the compound interest (in Rs) on the same sum for the same time at double the earlier rate of interest, when interest is compounded annually?

8,000 रुपये की राशि 10% प्रति वर्ष की दर से निवेश की जाती है। एक निश्चित समय में 9,261 रुपये हो जाता है, ब्याज अर्ध-वार्षिक रूप से संयोजित होता है। जब ब्याज वार्षिक रूप से संयोजित होता है, तो उसी राशि पर समान समय के लिए पिछली ब्याज दर से दोगुना चक्रवृद्धि ब्याज (रुपये में) कितना होगा?


Option”C” is correct

As we know,

P : A for 1 year = ∛8000 : ∛9261 = 20 : 21

Percentage = 1/20 × 100 = 5% (satisfied)

Time = 1 year 6 month

Now, rate = 20%

Rate for 1 year 6 month = 20 + 10 + (20 × 10)/100 = 30 + 2 = 32%

⇒ 32% of 8000

⇒ 2560

106.What is the compound interest on Rs. 48,000 for 2 years at 20% p.a., if interest is compounded annually?

20% प्रति वर्ष पर 2 वर्ष के लिए 48,000 रुपये पर चक्रवृद्धि ब्याज क्या है?

A. Rs. 69,120

B. Rs. 21,120

C. Rs. 76,800

D. Rs. 72,000


Option”A” is correct

Principal(P) = 48000

Time(n) = 2 years

Rate of interest(r) = 20% p.a

∴ Amount = P(1 + r/100)n = 48000(1 + 20/100)2 = 48000(1 + 20/100)2 = 48000 × 1.44 = 69120

∴ Compound interest = (69120 – 48000) = Rs. 21,120

107.The sum of money doubles at compound interest in 6 years. In how many years will it become 16 times?

6 वर्ष में चक्रवृद्धि ब्याज पर धन दोगुना हो जाता है। कितने वर्षों में यह 16 गुना हो जाएगा?


Option”B” is correct

Let the principal be x

According to the question, money gets doubled in 6 years 

Amount after 6 years = 2x

⇒ 2x = x(1 + r/100)6

⇒ 2 = (1 + r/100)6       —-(i)  

Now, 

We want the amount to become 16 times so,

⇒ (2)4 = [(1 + r/100)6 ]4

⇒ 16 = (1 + r/100)24

∴ It will become 16 times in 24 years.

108. Find the compound interest on Rs. 18,400 in 2 years, the rate of interest being 15% p.a. for the first year and 20% p.a. for the second year.

2 वर्षों में 18,400 रुपये पर चक्रवृद्धि ब्याज ज्ञात कीजिये, ब्याज की दर 15% प्रति वार्षिक पहले वर्ष के लिए और 20% प्रति वार्षिक दूसरे वर्ष के लिए है।


Option”D” is correct

A = 18400 (1 + 15/100) (1 + 20/100)

A = 18400 × 115/100 × 120/100

A = 25,392

CI = 25392 – 18400

CI = 6992

109. A sum becomes 8 times of itself in 7 years at the rate of compound interest (interest is compounded annually). In how many years will the sum becomes 4096 times of itself?

चक्रवृद्धि ब्याज की दर पर 7 वर्षों में कोई राशि खुद की 8 गुनी हो जाती है। (ब्याज वार्षिक रुप से मिश्रित होता है) कितने वर्षों में यह राशि खुद की 4096 गुनी हो जाएगी?


Option”A” is correct

⇒ P(1 + (R/100))7 = 8P

⇒ (1 + (R/100))7 = 8

⇒ 1 + (R/100) = 81/7 — (1)

Let Amount after T years be Rs. 4096P

⇒ P(1 + (R/100))T = 4096P

⇒ (1 + (R/100))T = 4096

Substituting (1) in above equation

⇒ (81/7)T = 84

⇒ (8T/7) = 84

⇒ T/7 = 4

⇒ T = 28

∴ In 28 years, the given principal will become 4096 times of itself.

110. A sum of Rs.250000 is deposited for 3 years compounded annually at 4%, 5% and 6% for the first, second and third year respectively. What will be the amount at the end of the three years?

वर्ष के लिए 250000 रुपये की राशि जमा की जाती है, जो पहले, दूसरे और तीसरे वर्ष के लिए क्रमशः 4%, 5% और 6% प्रतिवर्ष की वार्षिक चक्रवृद्धि ब्याज   होती है। तीन वर्ष के अंत में राशि क्या होगी?


Option”D” is correct

For the 1st year,

A1 = 250000 × [1 + (4/100)]

⇒ A1 = 260000

For the 2nd year,

P = A1

A= 260000 × [1 + (5/100)]

⇒ A2 = 273000

For the 3rd year,

P = A2

A3 = 273000 × [1 + (6/100)]

⇒ A3 = 289380

∴ The amount at the end of the three years is Rs.289380.

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