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

131. 30,000 is divided into two parts such that the 1st part is invested at 20% p.a and the 2nd part is invested at 24% p.a. The total CI in two years is 14,176. Find 1st and 2nd part?

30,000 को दो हिस्सों में इस प्रकार विभाजित किया जाता है कि पहले हिस्से को 20% प्रति वर्ष की दर पर और दूसरे हिस्से को 24% प्रति वर्ष की दर पर निवेश किया जाता है। दो वर्षों में कुल चक्रवृद्धि ब्याज 14,176 होता है। पहला और दूसरा हिस्सा ज्ञात कीजिये?


Option”B” is correct

Effective interst for 2 yrs at 20% = 20 + 20 + (20 × 20)\100 = 44%

Effective interst for 2 yrs at 24% = 24 + 24 + (24× 24)\100 = 53.76%

Let 1st part be x and 2nd part be y

Now, 44% of x + 53.76% of y = 14176

⇒ 44% of (x + y) + 9.76% of y = 14176

⇒ 44% of 30000 + 9.76% of y = 14176

⇒ 9.76 % of y = 14176 – 13200

⇒ 9.76% of y = 976

⇒ y = 10,000

And, x = 30,000 – 10,000 = 20,000

132.A man deposits Rs. 500 at the beginning of each year for 2 years at 10% p.a compound annually. Find the maturity value at the end of the 2nd year.

एक आदमी प्रत्येक वर्ष की शुरुआत में 500 रु. 10% प्रति वर्ष चक्रवृद्धि ब्याज की दर से 2 वर्ष के लिए जमा करता है। दूसरे वर्ष के अंत में परिपक्वता मूल्य ज्ञात कीजिए।

A. Rs. 1, 050

B. Rs. 1,150

C. Rs. 1,155

D. Rs. 1,200


Option”A” is correct

Deposit amount = Rs. 500, r = 10% and time = 2 years

As we know,

A = Deposit (1 + r/100)2 + Deposit (1 + r/100)

⇒ A = 500 × (1 + 10/100)2 + 500 (1 + 10/100)

⇒ A = 500 × (11/10)2 + 500 × (11/10)

⇒ A = 500 × 121/100 + 500 × 11/10

⇒ A = 605 + 550

∴ A = 1155

133. A person lends some money from Mahajan at the rate of 10% compounded per annum. After two years what percentage he paid as interest?

एक व्यक्ति महाजन से कुछ धनराशि 10% प्रति वर्ष चक्रवृद्धि ब्याज की दर से उधर लेता है। दो वर्षों बाद, उसने ब्याज के रूप में कितने प्रतिशत का भुगतान किया?


Option”B” is correct

Let cost of lands be Rs. 100, then

According to the question

A = 100 (1 + 10/100)2

⇒ A = 100 × (11/10) × (11/10)

⇒ A = 100 × 121/100

⇒ A = 121

⇒ CI = 121 – 100

⇒ CI = 21

∴ Percentage of interest = (21/100) × 100 = 21%

134.A sum of money when invested at compound interest for 3 years becomes 4 times of itself. In how many years, the same sum will be 16 times of itself?

3 साल के लिए चक्रवृद्धि ब्याज पर किसी राशि का निवेश किए जाने पर वह अपना 4 गुना हो जाती है। कितने वर्षों में, वही राशि अपना 16 गुना हो जाएगी ?


Option”C” is correct

Suppose Principal = Rs. P

⇒ Amount after 3 years = 4P

According to the question,

4P = P × (1 + R/100)3

⇒ (1 + R/100)= 4    —-(i)

Now,

A = 16P, Time = T (Suppose)

⇒ 16P = P × (1 + R/100)T

⇒ (1 + R/100)= 16 = 42

From equation (i):

(1 + R/100)= (1 + R/100)6

⇒ T = 6

∴ The sum will be 16 times in 6 years.

135.A sum of Rs 10000 becomes Rs 14641 when invested at compound interest at the yearly interest rate of 20% per annum. If the compounding is done half yearly, then for how many years was the sum invested?

10000 रुपये की धनराशि 14641 रुपये हो जाती है जब उसे 20 प्रतिशत प्रति वर्ष की वार्षिक चक्रवृद्धि ब्याज पर निवेश किया जाता है। यदि ब्याज अर्धवार्षिक चक्रवृद्धि है, तब धनराशि कितने वर्षों के लिए निवेश की गयी थी?


Option”B” is correct

Given,

Sum = Rs. 10000

Amount = Rs. 14641

Rate = 20% per annum = 10% per 6 month

Now,

Amount = Principal{1 + (rate/100)}time

⇒ 14641 = 10000{1 + (10/100)}time

⇒ 14641/10000 = (11/10)time

⇒ (11/10)= (11/10)time

⇒ time = 4

AS, it was compounded half yearly

∴ Actual time of investment = 4/2 = 2 years

136. A sum of Rs. 10,000 is lent at 13% p.a. compound interest. Find the compound interest for the third year.

10,000 रुपए की एक राशि को 13% वार्षिक चक्रवृद्धि ब्याज की दर पर उधार दिया जाता है, तो तीसरे वर्ष के लिए चक्रवृद्धि ब्याज ज्ञात कीजिये।


Option”A” is correct

P = Rs. 10,000, r = 13%, T = 2 years

Amount for 2nd years = 10000 × (1 + 13/100)2 = 12769

Compound interest for 2 years = 12769 – 10000 = 2769

Amount for 3 years = 10000 × (1 + 13/100)3

Compound interest of 3 years = 14428.97 – 10000 = 4428.97

Required answer = 4428.97 – 2769 = 1659.97

137.What will be the ratio of the difference between the CI of the 2nd year and the 4th year to the difference of CI of the 1st year and 3rd year if the rate of interest is 10% per annum?

यदि ब्याज की दर 10% प्रति वर्ष है, तो दूसरे वर्ष तथा चौथे वर्ष के चक्रवृद्धि ब्याज (CI) के अंतर और पहले वर्ष तथा तीसरे वर्ष के चक्रवृद्धि ब्याज (CI) के अंतर का अनुपात क्या होगा?


Option”D” is correct

Let the principal be 10,000, then

CI for 1st year = 10,000 × (10/100) = 1,000

CI for 2nd year = 1,000 + 1,000 × (10/100) = 1,000 + 100 = 1,100

CI for 3rd year = 1,100 + 1,100 × (10/100) = 1,100 + 110 = 1,210

CI for 4th year = 1210 + 1210 × (10/100) = 1,210 + 121 = 1,331

Difference of CI of 2nd year and 4th year = 1,331 – 1,100 = 231

Difference of CI of 1st year and 3rd year = 1,210 – 1,000 = 210

Required ratio = 231 ∶ 210

138. A sum of Rs. X amounts to Rs. 12,777.60 in 2 years at 15% p.a., when the interest is compounded eight-monthly. The value of x is ______.

X रूपये की राशि 2 वर्ष में 15% प्रति वर्ष की दर से 12,777.60 रु. की हो जाती है, जब ब्याज आठ-मासिक समायोजित होता है। X का मान ______ है।


Option”D” is correct

A = 12,777.60, r = 15% and t = 2 year

If interest compounded eight-monthly, then

r = 15/12 × 8 = 10%

t = (2 × 12)/8 = 3

As we know,

A = P (1 + r/100)

12777.60 = P (1 + 10/100)3

P = 12777.60 × (10/11) × (10/11) × (10/11)

P = 9600

139. If the compound interest in the third year at 8% p.a on a certain sum is Rs. 3600, then what is the difference between the compound interest in the 4th and 5th year? (nearest to an

यदि किसी धनराशी का तीसरे वर्ष में 8% वार्षिक ब्याज की दर से चक्रवृद्धि ब्याज 3600 रुपए है, तब चौथे वर्ष और पाँचवें वर्ष में चक्रवृद्धि ब्याजों में अंतर क्या है?


Option”A” is correct

Rate = 8%

Compound interest in the third year = 3600

Compound interest in the fourth year = 3600 + 3600 × (8/100) = 3888

Difference between the compound interest in the 4th and 5th year = 3888 × (8/100) = 311.04

140. The compound interest compounded annually on a sum of Rs. 15625 in three years is Rs. 4058. What is the annual rate of interest?

15625 रुपए की एक राशि वार्षिक रूप से संयोजित चक्रवृद्धि ब्याज वार्षिक की दर पर 3 वर्षों में 4058 रुपए हो जाती है, वार्षिक ब्याज दर क्या है?


Option”A” is correct

CI = 4085, P = 15625 and time = 3 years

A = 15625 + 4085 = 19683

As we know,

A = P (1 + r/100)3

19683 = 15625 (1 + r/100)3

⇒ (1 + r/100)3 = 19683/15625

⇒ 1 + r/100 = ∛19683/15625

⇒ 1 + r/100 = 27/25

⇒ r/100 = 27/25 – 1

⇒ r = 2/25 × 100 = 8%

Short Trick:

CI = 4085, P = 15625 and time = 3 years

A = 15625 + 4085 = 19683

Ratio of P to A = ∛15625 : ∛19683 = 25 : 27

Interest = 27 – 25 = 2

∴ Rate = 2/25 × 100 = 8%

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