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

41. The simple interest on some amount of money for 2 years is Rs.400. If ‘r’ is 4% more, then the Simple Interest will be Rs.400 more. What is the original amount of money?

2 साल के लिए कुछ राशि पर साधारण ब्याज 400 रुपये है। यदि दर 4% बढाई जाती है, तो साधारण ब्याज 400 रुपये अधिक होता है। मूल धनराशि क्या है?


Option”D” is correct

SI = Rs. 400, rate = r% and time = 2 year

 As we know,

SI = Prt/100

⇒ 400 = (P × r × 2)/100

Pr = 20,000 — (1)

Again,

Rate = (r + 4) %,

SI = 400 + 400 = Rs. 800

Time = 2 years

SI = Prt/100

800 = [P (r + 4) × 2]/100

Pr + 4P = 800 × 50

From equation (1)

⇒ 20,000 + 4P = 40,000

⇒ 4P = 40,000 – 20,000 = 20,000

⇒ p = 20,000/4

⇒ p = 5,000

∴ The original amount of money is 5000.

42. A sum of money doubles itself in 6 years if invested at simple interest. In how much time will it become 8 times?

यदि साधारण ब्याज पर निवेश की गयी एक धनराशी 6 वर्षों में दोगुनी हो जाती है, तब कितने समय में यह 8 गुना हो जायेगी?


Option”C” is correct

A sum of money doubles itself in 6 years

⇒ If Principal (P) = 1, then Amount (A) = 2

⇒ SI = A – P = 1,

That is SI = 1 in 6 years     —- (1)

For sum to become 8 times, that is, If P = 1, A = 8

⇒ SI = A – P = 7

From (1)

SI = 1 in 6 years

∴ SI = 7 in 7 × 6 years = 42 years.

43. A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years. at simple interest. What is the sum?

एक राशि साधारण ब्याज पर 5 वर्ष में 10650 रुपये और पर 6 वर्ष में 11076 रुपये हो जाती है। राशि क्या है??


Option”C” is correct

Using the above formulae, we have

⇒ P = (10650 × 6 – 11076 × 5)

⇒ P = Rs. 8520

∴ Required principal is Rs. 8520 

ALTERNATE METHOD

A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years. at simple interest

Interest of 1 year = 11076 – 10650 = Rs. 426

Interest of 5 year = 426 × 5 = 2130

∴ Required principal = 10650 – 2130 = Rs. 8520

44. A sum of Rs. 10500 becomes Rs. 17745 in 2 years at the rate of compound interest. If the interest is compounded annually, then what will be the rate of interest?

10500 रुपये की एक धनराशि चक्रवृद्धि ब्याज की दर पर 2 वर्षों में 17745 रुपये बन जाती है। यदि ब्याज वार्षिक रूप से संयोजित किया जाता है, तो ब्याज की दर क्या होगी?


Option”B” is correct

17745 = 10500 × [1 + r/100]2

⇒ 17745/10500 = [1 + r/100]2

⇒ 169/100 = [1 + r/100]2

Taking square root on both sides, we get,

⇒ 13/10 = 1 + r/100
⇒ 13/10 = (100 + r)/100
⇒ 13 = (100 + r)/10
⇒ 130 = 100 + r
⇒ r = 130 –100
⇒ r = 30

∴ Rate = 0.30 × 100 = 30%

45. Find the simple interest on Rs. 10,000 at 5% per annum for 2.5 years.

2.5 वर्ष के लिए 10,000 रुपये पर प्रति वर्ष 5% की दर से लगने वाले साधारण ब्याज को ज्ञात कीजिए।


Option”D” is correct

Let the simple interest be Rs. ‘x’

⇒ x = 10000 × 5 × 2.5/100 

⇒ x = Rs. 1250  

∴ required Simple interest = Rs. 1250      

46.What sum of money will amount to 400 in 4 years and 500 in 6 years at simple interest and also find the rate of interest:

किस राशि पर साधारण ब्याज की दर से 4 वर्ष में 400 और 6 वर्ष में 500 मिलेगा तथा ब्याज की दर भी ज्ञात करें:


Option”A” is correct

Amount in 4 years = 400

Amount in 6 years = 500

Amount increased in 2 years = 500 — 400 ⇒ 100

∵This amount must be increased due to SI.

∴ SI of 2 years = 100

SI of 1 years = 100/2 ⇒ 50

SI for 4 years = 50 × 4 ⇒ 200

∴ Principal = Amount — SI

= 400 —200

= 200

Rate of interest = SI/Principal × 100

= 50/200 × 100

= 25%

47.A person borrows certain amount of money at the rate of 2.5% per month. If he pays Rs. 13110 after 6 months to clear his dues then find the amount of interest paid by the person.

एक व्यक्ति 2.5% प्रति माह की दर से कुछ राशि ऋण पर लेता है। यदि वह अपना बकाया कम करने के लिए 6 माह के बाद 13110 रुपये का भुगतान करता है, तो व्यक्ति द्वारा भुगतान की गई ब्याज की राशि ज्ञात कीजिए।


Option”C” is correct

Suppose the sum borrowed be Rs. x

SI = x × 2.5 × 6/100 = 0.15x

A = x + 0.15x = 1.15x

1.15x = 13110

⇒ x = 11400

⇒ Amount of interest = 0.15 × 11400 = Rs. 1710

48. Rs. 1500 is invested into 2 parts such that if 1st part is invested at 10% and 2nd at 7% p.a. at S.I. and total interest earn in 3 yr was Rs. 396; Find 1st part?

1500 रुपए की एक राशि का निवेश 2 भागों में इस प्रकार किया जाता है जिससे यदि पहले भाग को 10% और दूसरे भाग को 7% वार्षिक साधारण ब्याज की दर पर निवेश किया जाता है और 3 वर्षो में अर्जित कुल ब्याज 396 रुपए था; तो पहला भाग ज्ञात कीजिए।


Option”A” is correct

Let Principal of 1st part be “x”

Principal of 2nd part = 1500 – x

SI on 1st part = 30x/100

SI on 2nd part = 21(1500 – x)/100 = [21 × 1500/100] – [21 × x/100]

⇒315 – 21x/100

According to question

396 = 30x/100 + 315 – 21x/100

⇒9x/100 = 81

⇒ x = 900

∴ Principal of 1st part = 900

49. A borrowed a sum of Rs. 3000 from his friend B on 31 December 2007 on the condition that he would return the same after one year with simple interest at 15% per annum. However, A gets into a position of returning the sum on 31 august 2008. How much amount had A to return to B?

A अपने मित्र B से 31 दिसम्बर 2007 को 3000 रुपये इस शर्त पर उधार लेता है कि वह उसे एक वर्ष के बाद 15% वार्षिक साधारण ब्याज के साथ लौटाएगा। हालाँकि, A 31 अगस्त 2008 को पैसे वापस लौटाने की स्थिति में आ जाता है। A, B को कितनी धनराशि लौटाएगा?


Option”A” is correct

Time = from 1st January 2008 to 31st august 2008

T = 8 months or 2/3 year

Simple interest = P × R × T/100

SI = [3000 × 15 × (2/3)]/100 = Rs.300

The amount that is to be returned by A = P + SI

⇒ 3000 + 300 = Rs.3300

50. A sum of money at some rate of simple interest amounts to Rs. 2500 in 5 years and Rs. 3500 in 10 years. Find the principal and simple interest of 2 years if the rate of interest is double.

धन की एक राशि साधारण ब्याज की किसी दर पर 5 वर्षों में 2500 रुपए हो जाती है और 10 वर्षों में 3500 रुपए हो जाती है। 2 वर्षों का साधारण ब्याज और मूलधन ज्ञात कीजिए यदि ब्याज की दर दोगुनी है।


Option”A” is correct

Amounts to Rs. 2500 to 5 years to Rs. 3500 in 10 years

Simple interest for 5 years = 3500 – 2500 = 1000 Rs

Amount = Principal + simple interest of 5 years

2500 = P + 1000

P = 2500 – 1000 = 1500

Simple interest of 5 years = 1000

Simple interest of 1 years = 1000/5 = 200

Simple interest of 2 years = 200 × 2 = 400

Simple interest of 2 years if the rate of interest is double = 400 × 2 = 800

∴ The principal is 1500 and the simple interest for 2 years is 800.

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