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

51. A girl borrowed a sum of Rs. 17200 at a rate of 12% simple interest per annum for 1 year and 73 days. How much amount did she pay to clear her debt?

एक लड़की 17200 रुपये की राशि 1 वर्ष और 73 दिनों के लिए 12% वार्षिक साधारण ब्याज पर उधार लेती है। उसने ऋण चुकाने के लिए कितनी राशि का भुगतान किया?


Option”C” is correct

Time = 1 + 73/365 = 1 + 1/5 = 6/5 yrs.

Now,

Simple interest = (Principal × rate × time)/100 = (17200 × 12 × 6/5)/100 = Rs. 2476.8

Amount paid to clear debt = 17200 + 2476.8 = Rs. 19676.8

∴ The amount she pay to clear her debt is Rs. 19676.8.

52. The simple interest on a sum is equal to the sum itself while the rate is same as the number of years for which it is invested. The number of years is equal to:

एक राशि पर साधारण ब्याज स्वयं राशि के बराबर होता है, जबकि यह दर उसी वर्ष की संख्या है, जिसके लिए यह निवेश किया गया है। वर्ष की संख्या के बराबर है:


Option”B” is correct

Let the sum invested be Rs. P and the period of investment be X years

⇒ Rate of interest = X%

⇒ Simple interest obtained = Rs. P

According to the question,

⇒ P = (P × X × X) /100

⇒ X2 = 100

⇒ X = 10 years

⇒ Period of investment = 10 years

53. A certain sum is lent at x % p.a simple interests for x/3 years. The simple interest on the sum is equal to one-third of the sum. The value of x is:

एक निश्चित राशि x/3 वर्षों के लिए x% वार्षिक साधारण ब्याज पर उधार दी जाती है। राशि पर साधारण ब्याज, राशि के एक तिहाई के बराबर होता है। X का मान है:


Option”D” is correct

As given, The simple interest on the sum is equal to one-third.

Let Principal be Rs. 3

SI = 3 × (1/3) = Rs. 1

r = x%

Time = x/3 years

As we know,

SI = Prt/100

⇒ 1 = (3 × x × x)/(100 × 3)

⇒ x2 = 100

⇒ x = √100

⇒ x = 10

54. Amit borrowed Rs. 20,000 interest free loan from his friend. If he is paying back 2% of this amount quarterly, and has already paid Rs. 10000, then for how many more months has he been paying back his loan?

अमित ने अपने दोस्त से 20,000 रु. का ब्याज मुक्त ऋण लिया। यदि वह इस राशि का 2% तिमाही रूप से चुकता कर रहा है, और पहले से ही 10000 रु. का भुगतान कर चुका है, तो और कितने महीनों तक वह अपने ऋण का भुगतान कर रहा होगा?


Option”B” is correct

Amit pays back 2% which is of the amount of Rs. 20,000 quarterly (every three months) and has already paid Rs. 10,000, then we have 10,000 remaining amounts.

Let, no of quarters be t

Now, 20,000 × 2% × t = 10,000

⇒ t = 10,000/400 quarters

⇒ t = 25 quarters

Thus,

Number of months = 25 × 3 = 75 months

55. Simple interest on a sum of money is 16/81 of the principal and the number of years is equal to the rate% p.a. Find rate%.

किसी धनराशि पर साधारण ब्याज मूलधन का 16/81 है और वर्षों की संख्या वार्षिक दर% के बराबर है। दर% ज्ञात कीजिये।


Option”D” is correct

∴ SI = (P × r × t)/100 = P × r × r/100

⇒ r2 = [SI × 100]/P = (16 × 100)/81 = 1600/81

⇒ r = √[1600/81] = 40/9%

56. What will be the difference between simple interest and compound interest of Rs. 3600 for 2 years at 4% per annum?

3600 रुपये पर 2 वर्षों के लिए 4% वार्षिक दर पर साधारण ब्याज और चक्रवृद्धि ब्याज के बीच अंतर क्या होगा?


Option”A” is correct

Effective increase in rate percentage when it is at compound interest = {4 + 4 (4 × 4)/100} = 8.16%

Effective increase in rate percentage when it is at simple interest = 4 + 4 = 8%

Difference in compound interest and simple interest = 8.16% – 8% = 0.16%

According to question

⇒ 0.16% of 3600 = {(0.16)/100} × 3600 = 5.76

∴ The difference between compound interest and simple interest in 2 years = Rs.5.76

57.A sum of money becomes Rs. 3000 in 4 years. If the simple interest is 1/5 of that sum of money, then what is the rate of interest?

4 वर्षों में एक निश्चित धनराशी ₹ 3000 हो जाती है। यदि साधारण ब्याज, उस धनराशी का 1/5 है, तो ब्याज की दर क्या है? 


Option”A” is correct

⇒ 3000 = X + X/5

⇒ 6X/5 = 3000

⇒ X = 2500

⇒ 2500/5 = 2500 × R × 4/100

⇒ R = 5%

∴ The rate of interest and principal are 5% and Rs. 2500.

58. A sum becomes five times of itself in 8 years at simple interest. What is the rate of interest per annum?

एक राशि साधारण ब्याज पर 8 वर्ष में खुद की पांच गुना हो जाती है। प्रति वर्ष ब्याज दर क्या है?


Option”D” is correct

Let the sum of money be P

After 8 years it becomes 5 times.

The simple interest = 5P – P = 4P

4P = (P × R × 8)/100

R = 400/8 = 50%

∴The Rate of interest per annum is 50% 

59. A sum of Rs. 20,000 is invested for 15 months at the interest for 10% per annum compounded half yearly. What is the percentage gain, correct to once decimal place, at the end of 15 month?

छमाही में चक्रवृद्धि प्रति वर्ष 10% के हिसाब से ब्याज के रूप में 15 महीने के लिए 20,000 रुपये का निवेश किया जाता है। 15 महीने के अंत में एक बार दशमलव स्थान के लिए सही प्रतिशत लाभ क्या है?


Option”C” is correct

Rate of interest = 10% per annum

Rate of interest = 5% per half year

Interest gained in first six months on Rs. 20000 = 5/100 × 20000 = Rs. 1000

Interest gained in next six month = 5/100 × 20000 + 5/100 × 1000 = 1000 + 50 = Rs. 1050

Rate of interest for last three months will be = 5/2 = 2.5%

Interest gained in last three month = 2.5/100 × 20000 + 2.5/100 × 1000 + 2.5/100 × 1050

⇒ 500 + 25 + 26.25 = Rs. 551.25

Total interest gained in 15 months = 1000 + 1050 + 551.25 = Rs. 2601.25

Percentage gain = 2601.25/20000 × 100 = 13%

60. A person invested a sum of Rs. 10,500 at x% per annum at simple interest and a sum of Rs. 13,500 at (x + 2)% p.a. at simple interest. If the total interest earned on both the investments for 3 years is Rs. 7,650, then the rate of interest on the first investment is:

एक व्यक्ति ने वार्षिक x% पर साधारण ब्याज पर 10,500 निवेश किए और वार्षिक (x + 2)% पर साधारण ब्याज पर 13,500 रूपए निवेश किए। यदि 3 वर्षों में दोनों प्रकार के निवेशों पर अर्जित कुल ब्याज की राशि 7,650 रूपए है, तब पहले निवेश पर ब्याज की दर क्या होगी:


Option”D” is correct

As we know,

SI = prt/100

According to the question

(10500 × x × 3)/100 + [13500 × (x + 2) × 3]/100

315x + 405x + 810 = 7650

720x = 7650 – 810 = 6840

x = 6840/720 = 9.5%

Required rate = 9.5% 

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