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

71. A sum of money is invested at compound interest, which is compounded annually. The sum grows to Rs. 1000 after three years, and Rs. 1100 after four years. What is rate of interest per annum?

एक राशि को चक्रवृद्धि ब्याज पर निवेश किया जाता है, जो वार्षिक रूप से संयोजित किया जाता है। तीन वर्ष के बाद यह राशि 1000 रुपये बढ जाती है और चार वर्ष बाद यह राशि 1100 रुपये.बढ जाती है। प्रति वर्ष ब्याज दर क्या है?


Option”A” is correct

Short Trick:

Rate of interest = {(1100 – 1000)/1000} = 10%

Detailed Solution :

Sum after three years = Rs. 1000

Sum after four years = Rs. 1100

For compound interest,

A = P (1 + r/100)t

⇒ 1000 = P(1 + r/100)3      —- (1)

⇒ 1100 = P (1 + r/100)4      —- (2)

From (2) /(1),

⇒ 11/10 = (1 + r/100)

⇒ 11/10 – 1= r/100

⇒ r/100 = 1/10

⇒ r = 100/10 = 10%

∴ Rate of interest is 10%.

72. What is the compound interest on Rs. 5000 in 2 years at the rate of 20% per annum? (interest compounded half yearly)

2 वर्षों में 20% वार्षिक ब्याज की दर से 5000 रुपए पर चक्रवृद्धि ब्याज क्या होगा? (ब्याज की गणना अर्धवार्षिक की गयी है)


Option”C” is correct

Time = 2 years, rate = 20%

⇒ Time = 4 years, rate = 10% (because interest compounded half yearly)

⇒ C.I. = P(1 + r/100)t – P

⇒ C.I. = 5000[(11/10)4 – 1]

⇒ C.I. = 5000 × (4641/10000) = 4641/2 = Rs. 2320.5

∴ The compound interest is Rs. 2320.5

73. A certain sum of money invested at compound interest, compounded annually, amounts to Rs. 338 at the rate of 4% per annum for 2 years.  Find the sum.

एक निश्चित राशि को सालाना संयोजित होने वाले चक्रवृद्धि ब्याज पर निवेश किया जाता है, जो 2 वर्षों में प्रति वर्ष 4% की दर से 338 रुपये होती है। राशि ज्ञात कीजिए।


Let the sum be Rs.  P

A = 338, r = 4% and time = 2 years

As we know,

A = P (1 + r/100)t

⇒ 338 = P (1 + 4/100)2

⇒ 338 = P × (26/25) × (26/25)

⇒ P = 338 × (25/26) × (25/26)

⇒ P = Rs.  312.5

Short trick:

⇒ 4% = 1/25

Ratio of Principal to Amount = (25)2 : (26)2 = 625 : 676

⇒ 676 unit = 338

⇒ 1 unit = 338/676 = 1/2

⇒ 625 unit = 1/2 × 625 = 312.5

74. A certain amount of money at compound interest grown to Rs. 66,550 in 3 years and Rs. 73,205 in 4 years. The rate per cent per annum is:

चक्रवृद्धि ब्याज पर एक निश्चित राशि 3 वर्ष में 66,550 रूपये और 4 वर्ष में 73,205 रूपये हो जाती है, प्रति वर्ष प्रतिशत दर ज्ञात कीजिए:


Option”D” is correct

Amount will become in 4 years = 73205

Amount will become in 3 years = 66550

Interest = 73205 – 66550 = 6655

∴ Rate of interest = 6655/66550 × 100 = 10%

75. What will be the difference in compound interest on a sum of Rs. 7,800 at 8% for 1 year, when the interest is paid yearly and half-yearly?

जब ब्याज का भुगतान वार्षिक और अर्ध-वार्षिक रूप से किया जाता है, तो 1 वर्ष के लिए 8% ब्याज की दर से 7,800 रुपए की एक राशि पर चक्रवृद्धि ब्याज में अंतर क्या होगा?


Option”C” is correct

Interest rate for 1 year when interest compounded yearly = 8%

Interest rate for 1 year when interest compounded half-yearly = 8/2 = 4%

Total interest rate for at the end of the year when interest compounded half-yearly

4 + 4 + (4 × 4)/100

⇒ 8 + 0.16

⇒ 8.16%

Hence, Difference of rate = 8.16 – 8 = 0.16%

Now, 0.16% of 7800

⇒ 7800 × 16/10000

⇒ 12.48

76. A certain sum amounts to Rs. 280900 in 2 years at 6% per annum, interest compounded annually. The sum is:

एक निश्चित राशि 2 वर्षों में 6% प्रति वर्ष की दर से 280900 रुपये हो जाती है, चक्रवृद्धि ब्याज वार्षिक रूप से संयोजित होता है। राशि है:


Option”C” is correct

A = 280900, R = 6% and t = 2 years

As we know

A = P (1 + r/100)t

280900 = P (1 + 6/100)2

⇒ 280900 = P × 53/50 × 53/50

⇒ P = 280900 × 50/53 × 50/53

⇒ P = 250000

77. Mr. Yashwanth invested money in FD. How much will he get on maturity, if Rs. 10000 in invested at 20% per annum compound interest for 6 months, compounded quarterly?

श्रीमान यशवंत सावधि जमा में धनराशि निवेश करते हैं। यदि 10000 रुपये को 20% प्रतिवर्ष की तिमाही चक्रवृद्धि ब्याज पर 6 महीनों के लिए निवेश किया जाता है, तो परिपक्वता पर उन्हें कितनी धनराशि प्राप्त होगी?

        A. 11025.25

        B. 11025

        C. 11025.75

        D. 11025.5


Option”B” is correct

P = 10,000, r = 20% and time = 6 month

If interest compounded quarterly, then

r = 20/4 = 5% and time = 6/2 = 2 quarters

As we know,

A = P (1 + r/100)t

⇒ A = 10000 (1 + 5/100)2

⇒ A = 10000 × 21/20 × 21/20

∴ A = Rs. 11025

78. The compound interest on a sum for 4th year is ₹ 6000 and compound interest for 5th year is ₹ 6750(interest is compounded annually). What is the rate of interest?

किसी राशि पर चौथे वर्ष के लिए चक्रवृद्धि ब्याज  6000 रुपए और  पांचवें वर्ष के लिए 6750 रुपए (ब्याज वार्षिक संयोजित किया गया है)। ब्याज की दर क्या है?


Option”C” is correct

⇒ Difference between 5th yr CI and 4th yr CI = 6750 – 6000 = 750

∴ Rate of interest = 750 × 100 / 6000 = 75 / 6 = 12.5%

79. What is the present value of the amount of Rs 14739 payable in the 3 years at the rate of 6.25% compound annual interest?

6.25% वार्षिक चक्रवृद्धि ब्याज की दर से 3 वर्षों में 14739 रुपए की देय राशि का वर्तमान मान कितना है?


Option”B” is correct

Let principal be P

so, P [1 + (6.25/100)]3 = Rs.14739

⇒ P [106.25/100]3 = Rs.14739

⇒ P × (17/16)3 = Rs.14739

⇒ P = Rs.(3 × 163)

⇒ P = Rs.12288

∴ The present value is Rs.12288

80. Calculate the difference of amount received on a principal of ₹12000 at 20% per annum interest compounded yearly and half-yearly for 3/2 years.

3/2 वर्षों के लिए ₹12000 के मूलधन पर 20% प्रति वर्ष के चक्रवृद्धि ब्याज दर से वार्षिक और अर्धवार्षिक रूप से संयोजित करने पर प्राप्त राशि के अंतर की गणना कीजिये।


Option”C” is correct

Shortcut TrickIn case of yearly [Rate is 20% for 1st year, Rate is 10% for 1/2 year]

Equivalent rate% = [20 + 10 + (20 × 10)/100]% = 32%

For Half yearly [Rate for each 6 months is 10%]

Equivalent rate% for 1st two rate = [10 + 10 + (10 × 10)/100] = 21%

Now, Equivalent rate% = [21 + 10 + (21 × 10)/100] = 33.1%

We have to find the difference 

So, Difference in rate% = 33.1 – 32% = 1.1%

So, 1.1% of ₹12000 = ₹132

Alternate Method 

Given:

Principal (P) = ₹12000

Rate (R) = 20% per annum

Time (T) = 3/2 years = 1 year 6 months

Concept used:

Amount (A) = P × (1+ R/100)T

Calculation:

When compounded annually (rate gets halved for the second year as time is 1 year 6 months)

A1 = 12000 × (1 + 20/100) × (1 + 10/100)

⇒ A1 = ₹15840

When compounded half-yearly (rate gets halved and time gets doubled)

A1/2 = 12000 × (1 + 10/100)3

⇒ A1/2 = 12000 × (1331/1000)

⇒ A1/2 = ₹15972

Difference A1/2 – A1 = ₹15972 – ₹15840 = 132

∴ A1/2 – A1 is ₹132