Hello everyone, welcome back to HimPrep Guru.
In today’s class, we are going to discuss Simple Interest Important Questions specially prepared for Himachal Pradesh Patwari Exam.
Simple Interest is a very important topic in Patwari, SSC, and other competitive exams, and questions are often asked in a direct and scoring pattern.
In this video, each question will be explained step-by-step, with easy tricks, short methods, and exam-level clarity, so that even beginners can understand easily.
So watch the video till the end, practice all questions, and boost your Maths score for HP Patwari 2026.
Let’s start the class. ✨
1. ₹10,000 की राशि 15% वार्षिक साधारण ब्याज पर उधार ली जाती है। 2 वषों के अंत में कु ल ब्याज र्कतना होगा? / A sum of ₹10,000 is borrowed on simple interest at a rate of 15% per annum.What is the interest to be paid at the end of two years?
A. ₹3,500
B. ₹2,500
C. ₹3,000
D. ₹2,000
Simple Interest
Simple Interest Question
Question:
A sum of ₹10,000 is borrowed on simple interest at a rate of 15% per annum.
What is the interest to be paid at the end of two years?
Formula:
Simple Interest (SI) = (P × R × T) / 100
P = ₹10,000
R = 15% per annum
T = 2 years
Calculation:
SI = (10,000 × 15 × 2) / 100
SI = ₹3,000
Final Answer: Interest after 2 years = ₹3,000
2. कोई राशि साधारण ब्याज की एक ननशित दर से 8 वषों में 2900 रु और 10 वषों में 3000 रु हो जाती हैं ब्याज की वार्षिक दर ज्ञात करे। / A sum of money at some rate of simple interest amounts to Rs. 2,900 in 8 years and to Rs. 3,000 in 10 years. The rate of interest per annum is
(a) 4%
(b) 3%
(c) 5%
(d) 2%
Solved Question (Simple Interest)
8 वर्षों में राशि = ₹2900
10 वर्षों में राशि = ₹3000
10 और 8 वर्षों की राशि का अंतर = 3000 − 2900 = ₹100
यह 2 वर्षों का ब्याज है
⇒ 1 वर्ष का ब्याज = 100 ÷ 2 = ₹50
8 वर्षों का कुल ब्याज = 8 × 50 = ₹400
मूलधन (P) = 2900 − 400 = ₹2500
ब्याज दर का सूत्र:
R = (SI × 100) / (P × T)
R = (400 × 100) / (2500 × 8)
R = 40000 / 20000
R = 2%
Final Answer:
ब्याज की वार्षिक दर = 2% प्रति वर्ष
3.₹800 की राशि 3 वषों में साधारण ब्याज पर ₹920 बन जाती है। यदद ब्याज दर में 4% की वृद्धि की जाए, तो अंनतम राशि क्या होगी? / A sum of ₹800 becomes ₹920 in 3 years at simple interest. If the interest rate is increased by 4%, what will be the new amount?
A. ₹1,050
B. ₹999
C. ₹216
D. ₹1,016
Solved Question (Simple Interest)
Principal (P) = ₹800
Amount after 3 years = ₹920
Simple Interest = 920 − 800 = ₹120
Using SI formula:
SI = (P × R × T) / 100
120 = (800 × R × 3) / 100
R = 5% per annum
Increased rate = 5% + 4% = 9% per annum
New SI for 3 years = (800 × 9 × 3) / 100 = ₹216
New Amount = ₹1,016
4. 12% वार्षिक ब्याज की दर से र्कतने वषों में 3000 रु पर 1080 रु ब्याज प्राप्त होगा। / In how many years will a sum of Rs. 3,000 yield a simple interest of Rs. 1,080 at 12% per annum?
(a) 5 वषि
(b) 3 ½ वषि
(c) 3 वषि
Solved Question (Simple Interest)
Principal (P) = ₹3,000
Simple Interest (SI) = ₹1,080
Rate (R) = 12% per annum
Formula:
SI = (P × R × T) / 100
1080 = (3000 × 12 × T) / 100
1080 = 360T
T = 3 years
Final Answer:
Time required = 3 years
(d) 2 वषि
Q.) दो समान राशियाँ 5% और 4% साधारण ब्याज पर उधार ली गई थीं। 4 वषि के बाद कुल ब्याज रु 405 था। कु ल र्कतनी राशि उधार ली गई थी? /Two equal amounts were borrowed at 5% and 4% simple interest. The total interest after 4 yr amounted to Rs.405.What was the total amount borrowed?
(a) Rs.1075
(b) Rs.1100
(c) Rs.1125
(d) Rs.1150
Solved Question (Simple Interest)
Two equal amounts are borrowed at 5% and 4% simple interest.
Time = 4 years
Total Interest = ₹405
Let each sum = ₹x
Interest on first sum:
SI₁ = (x × 5 × 4) / 100 = 0.20x
Interest on second sum:
SI₂ = (x × 4 × 4) / 100 = 0.16x
Total Interest = 0.20x + 0.16x = 0.36x
0.36x = 405
x = ₹1125
Final Answer:
Total amount borrowed = 2x = ₹2,250
Q.) साधारण ब्याज की र्कस दर पर ₹9,000 की राशि पर 4 वषों में प्राप्त नमश्रधन ₹10,200 होगा? / At what rate of simple interest will the amount obtained on a sum of ₹9,000 in 4 years be₹10,200?
(a) 3 (1/3)%
(b) 7 (1/3)%
(c) 4 (2/3)%
(d) 5 (1/2)%
Solved Question (Simple Interest)
Principal (P) = ₹9,000
Amount (A) = ₹10,200
Time (T) = 4 years
Simple Interest (SI) = A − P = 10,200 − 9,000 = ₹1,200
Formula:
SI = (P × R × T) / 100
1200 = (9000 × R × 4) / 100
1200 = 360R
R = 10/3 % = 3⅓% per annum
Final Answer:
Rate of simple interest = 3⅓% per annum
7. 9500 रु की राशि पर 10 वषि का साधारण ब्याज उस राशि का 130%है ब्याज की वार्षिक दर ज्ञात करें। / Simple Interest received by a person in 10 years on a principal of Rs. 9500 is 130% of the principal. What is the rate of interest (in %) per annum?
(A) 12
(B) 13
(C) 15
(D) 19
Solved Question (Simple Interest)
Principal (P) = ₹9,500
Time (T) = 10 years
Simple Interest (SI) = 130% of principal = ₹12,350
Formula:
SI = (P × R × T) / 100
12,350 = (9,500 × R × 10) / 100
12,350 = 950R
R = 13% per annum
Final Answer:
Rate of interest = 13% per annum
8. यदद ₹72 की राशि पर 3 वषि में प्राप्त नमश्रधन ₹104.4 है, तो ₹120 की राशि पर समान प्रनतित वार्षिक दर से से 5 वषि में प्राप्त नमश्रधन र्कतना होगा? / If ₹72 amounts to ₹104.4 in 3 years, what will ₹120 amount to in 5 years at the same rate percent per annum?
(a) ₹210
(b) ₹215
(c) ₹330
(d) ₹450
Solved Question (Simple Interest)
Amount of ₹72 in 3 years = ₹104.4
Simple Interest on ₹72 for 3 years = 104.4 − 72 = ₹32.4
Using SI formula:
SI = (P × R × T) / 100
32.4 = (72 × R × 3) / 100
32.4 = 2.16R
R = 15% per annum
Now for ₹120 for 5 years at same rate:
SI = (120 × 15 × 5) / 100 = ₹90
Amount = 120 + 90 = ₹210
Final Answer:
₹120 will amount to ₹210 in 5 years
9. एक ननशित राशि पर 6 वषि के शलए 12.5% वार्षिक दर से साधारण ब्याज मूलधन से ₹13,500 कम है। साधारण ब्याज जात करें। / The simple interest on a certain sum at the rate of 12.5% per annum for 6 years is 13,500 less than the principal. Find the simple interest.
(a) ₹13,500
(b) ₹40,000
(c) ₹54,000
(d) ₹40,500
Solved Question (Simple Interest)
Rate (R) = 12.5% per annum
Time (T) = 6 years
Simple Interest is ₹13,500 less than the principal
Let Principal = ₹P
Given:
Simple Interest = P − 13,500
Using SI formula:
SI = (P × R × T) / 100
SI = (P × 12.5 × 6) / 100 = 0.75P
According to question:
0.75P = P − 13,500
P − 0.75P = 13,500
0.25P = 13,500
P = ₹54,000
Simple Interest = 0.75 × 54,000 = ₹40,500
Final Answer:
Simple Interest = ₹40,500
10. ₹21,000 की राशि पर साधारण ब्याज की दर से 3 वषों में अशजित ब्याज ₹6,400 है। वार्षिक ब्याज दर ज्ञात करें। / The interest earned on 21,000 in 3 years at simple interest is 6,400. What is the rate of interest per annum?
(a) 10 (10/63)%
(b) 10 (13/63)%
(c) 10 (5/63)%
(d) 10 (2/63)%
Solved Question (Simple Interest)
Principal (P) = ₹21,000
Simple Interest (SI) = ₹6,400
Time (T) = 3 years
Formula:
SI = (P × R × T) / 100
6400 = (21,000 × R × 3) / 100
6400 = 630R
R = 6400 / 630
R = 10.16% (approx.) per annum
Final Answer:
Rate of interest ≈ 10.16% per annum
11. र्कसी ननशित ब्याज की दर पर A ने 2000 रु B को 2 वषि के शलए औरC को 1500 रु 4 वषि के शलए उधार ददये और दोनो से उसे 900 रु का कुल ब्याज प्राप्त हुआ ब्याज की वार्षकि दर ज्ञात करें। / At some rate of simple interest, A lent Rs. 2,000 to B for 2 years and Rs.1,500 to C for 4 years and received Rs. 9,00 as interest from both of them togehter. The rate of interest per annum was
(A) 5%
(B) 6%
(C) 8%
(D) 9%
Solved Question (Simple Interest)
A lends:
₹2,000 to B for 2 years
₹1,500 to C for 4 years
Total Simple Interest received = ₹900
Let rate of interest = R% per annum
Interest from B:
SI₁ = (2000 × R × 2) / 100 = 40R
Interest from C:
SI₂ = (1500 × R × 4) / 100 = 60R
Total Interest = 40R + 60R = 100R
Given: 100R = 900
R = 9
Final Answer:
Rate of interest = 9% per annum
12. A sum of ₹25600 is invested on simple interest partly at 7% per annum and the remaining at 9% per annum.The total interest at the end of 3 years is ₹5832. How much money (in ₹) was invested at 9% per annum?₹25600 की धनराशि के एक भाग को 7% वार्षिक और िेष को 9% वार्षिक साधारण ब्याज पर ननवेि र्कया जाता है। 3 वषों के अंत में कुल ब्याज ₹5832 होता है। र्कतनी धनराशि को 9% वार्षिक पर ननवेशित र्कया गया था?
(a) 18000
(b) 7600
(c) 9600
(d) 16000
Solved Question (Simple Interest)
Total sum = ₹25,600
Part invested at 7% p.a.
Remaining part invested at 9% p.a.
Time = 3 years
Total Interest = ₹5,832
Let the amount invested at 9% = ₹x
Then amount invested at 7% = ₹(25,600 − x)
Interest from 9% part:
SI₁ = (x × 9 × 3) / 100 = 0.27x
Interest from 7% part:
SI₂ = [(25,600 − x) × 7 × 3] / 100 = 0.21(25,600 − x)
Total Interest:
0.27x + 0.21(25,600 − x) = 5,832
0.27x + 5,376 − 0.21x = 5,832
0.06x = 456
x = ₹7,600
Final Answer:
Amount invested at 9% per annum = ₹7,600
13. A certain sum on simple interest becomes 49,600 in 3years and ₹56,000 in 5 years. If the rate of interest had been 2% more, then in how many years would the sum have doubled? | कोई राशि सांधारण ब्याज पर 3 वषों में ₹49,600 और 5 वषों में ₹56,000 हो जाती है। यदद ब्याज की दर 2% अधधक होती, तो राशि र्कतने वषों में दोगुनी हो जाती ?
(a) 10
(b) 8
(c) 12
(d) 20
Solved Question (Simple Interest)
Amount in 3 years = ₹49,600
Amount in 5 years = ₹56,000
Difference of amounts = 56,000 − 49,600 = ₹6,400
This is the interest for 2 years
Interest for 1 year = 6,400 ÷ 2 = ₹3,200
Interest for 3 years = 3 × 3,200 = ₹9,600
Principal (P) = 49,600 − 9,600 = ₹40,000
Rate of Interest (R):
R = (SI × 100) / (P × T)
R = (3,200 × 100) / 40,000 = 8%
Increased Rate = 8% + 2% = 10%
For doubling of sum:
Simple Interest = Principal
Using formula:
P = (P × 10 × T) / 100
1 = (10 × T) / 100
T = 10 years
Final Answer:
The sum would double in 10 years
14. Simple interest on a certain sum one-fourth of thesum and the interest rate percentage per annum is 4times the numbers of years. If the rate of interest increases by 2%, then what will be the simple interest (in₹) on ₹5,000 for 3 years? | र्कसी राशि पर साधारण व्याज, राशि का एक चौथाई है और प्रनतित प्रनत वषि ब्याज दर, वषों की संख्या की 4 गुनी है।यदद व्याज की दर में 2% की वृद्धि होती है, तो ₹5,000 पर 3 वषों में र्कतना साधारण ब्याज होगा?
(a) 300
(b) 1,500
(c) 2,000
(d) 1,800
Solved Question (Simple Interest)
Simple Interest = one-fourth of the principal
Rate of interest (R%) = 4 × number of years
Let Principal = P and Time = T years
Given:
Simple Interest = P / 4
Rate of interest = 4T %
Using SI formula:
SI = (P × R × T) / 100
P / 4 = (P × 4T × T) / 100
1 / 4 = (4T²) / 100
100 = 16T²
T² = 6.25
T = 2.5 years
Rate of interest = 4 × 2.5 = 10%
Increased rate = 10% + 2% = 12%
Now for ₹5,000 for 3 years at 12%:
SI = (5000 × 12 × 3) / 100
SI = ₹1,800
Final Answer:
Simple Interest = ₹1,800
15. On simple interest, a certain sum becomes ₹59,200 in 6 years and ₹72,000 in 10 years. If the rate of interest had been 2% more, then in how many years would the sum have become 76,000? साधारण व्याज पर कोई राशि 6 वषों में ₹59,200 और 10 वषों में ₹72,000 हो जाती है। यदद व्याज की दर 2% अधधक होती, तो र्कतने वषों में यह राशि ₹76,000 हो जाती ?
(a) 10
(b) 9
(c) 8
(d) 7
Solved Question (Simple Interest)
Amount in 6 years = ₹59,200
Amount in 10 years = ₹72,000
Difference of amounts = 72,000 − 59,200 = ₹12,800
This is the interest for 4 years
Interest per year = 12,800 ÷ 4 = ₹3,200
Interest for 6 years = 6 × 3,200 = ₹19,200
Principal (P) = 59,200 − 19,200 = ₹40,000
Rate of interest:
R = (SI × 100) / (P × T)
R = (3,200 × 100) / 40,000 = 8%
Increased rate = 8% + 2% = 10%
New amount required = ₹76,000
Required Simple Interest = 76,000 − 40,000 = ₹36,000
Using SI formula:
36,000 = (40,000 × 10 × T) / 100
36,000 = 4,000T
T = 9 years
Final Answer:
The sum would become ₹76,000 in 9 years
16. A sum of ₹15,000 is invested partly at 12% per annumand the remaining at 10% per annum simple interest. If the total interest at the end of 2 years is ₹3,344 how muchmoney was invested at 10% per annum/₹15,000 रुपये की राशि को आंशिक रूप से 12% प्रनत वषि और िेष 10% प्रनत वषि साधारण ब्याज पर ननवेि र्कया जाता है। अगर 2 साल के अंत में कुल ब्याज ₹3,344 रुपये है तो प्रनत वषि 10% पर र्कतना पैसा लगाया गया था।
(a) ₹6,600
(b) ₹6,400
(c) ₹6,200
(d) ₹6,500
Solved Question (Simple Interest)
Total sum = ₹15,000
Part invested at 12% p.a.
Remaining part invested at 10% p.a.
Time = 2 years
Total Interest = ₹3,344
Let the amount invested at 10% = ₹x
Then amount invested at 12% = ₹(15,000 − x)
Interest from 10% part:
SI₁ = (x × 10 × 2) / 100 = 0.20x
Interest from 12% part:
SI₂ = [(15,000 − x) × 12 × 2] / 100 = 0.24(15,000 − x)
Total Interest:
0.20x + 0.24(15,000 − x) = 3,344
0.20x + 3,600 − 0.24x = 3,344
−0.04x = −256
x = ₹6,400
Final Answer:
Amount invested at 10% per annum = ₹6,400
17. ₹264000 is invested for 3 years at 8.25% per annumsimple interest. The interest is:8.25% वार्षिक साधारण ब्याज दर पर 3 वषों के शलए ₹264000 काननवेि र्कया जाता हैं। ब्याज की राशि क्या होगी?
(a) ₹65340
(b) ₹87120
(c) ₹21780
(d) ₹43560
Solved Question (Simple Interest)
Principal (P) = ₹2,64,000
Rate (R) = 8.25% per annum
Time (T) = 3 years
Formula:
SI = (P × R × T) / 100
SI = (2,64,000 × 8.25 × 3) / 100
SI = ₹65,340
Final Answer:
Simple Interest = ₹65,340
18. A sum of ₹12,800 is invested partly at 15% per annumand the remaining at 12% per annum simple interest. Ifthe total interest at the end of 3 years is ₹5085. Then howmuch money was invested at 15% per annum?₹12,800 की राशि आंशिक रूप से 15% प्रनत वषि और िेष 12% प्रनतवषि साधारण व्याज पर ननवेि की जाती है। यदद 3 वषि के अंत में कु ल व्याज ₹5085 है। र्िर प्रनत वषि 15% पर र्कतना पैसा ननवेि र्कया गया था?
(a) ₹5,300
(b) ₹7,500
(c) ₹5,800
(d) ₹5,200
Solved Question (Simple Interest)
Total sum = ₹12,800
Part invested at 15% p.a.
Remaining part invested at 12% p.a.
Time = 3 years
Total Interest = ₹5,085
Let the amount invested at 15% = ₹x
Then amount invested at 12% = ₹(12,800 − x)
Interest from 15% part:
SI₁ = (x × 15 × 3) / 100 = 0.45x
Interest from 12% part:
SI₂ = [(12,800 − x) × 12 × 3] / 100 = 4608 − 0.36x
Total Interest:
0.45x + (4608 − 0.36x) = 5085
0.09x = 477
x = ₹5,300
Final Answer:
Amount invested at 15% per annum = ₹5,300
19. र्कसी राशि पर 6 वषि का साधारण ब्याज उस राशि का 9/25 गुना हैं। ब्याज की दर ज्ञात करें। / Simple interest on a certain sum for 6years is 9/25 of the sum. The rate of interest is
(A) 6%
(B) 6 (1/2)%
(C) 8%
(D) 8 (1/2)%
Solved Question (Simple Interest)
Time (T) = 6 years
Simple Interest = 9/25 of the principal
Let Principal = P
Given:
SI = (9/25)P
Using SI formula:
SI = (P × R × T) / 100
(9/25)P = (P × R × 6) / 100
9/25 = 6R / 100
R = (9 × 100) / (25 × 6)
R = 6%
Final Answer:
Rate of interest = 6% per annum
20. रमेि ने ₹1,232 की राशि 5% वार्षिक साधारण ब्याज की दर से एक बैंक में ननवेि की। 3 वषों के बाद उसे र्कतनी राशि प्राप्त होगी? / Ramesh invested ₹1,232 at 5% p.a. simple interest in a bank. What amount will he get after 3 years?
A. ₹1,285.80
B. ₹2,145.80
C. ₹1,848.80
D. ₹1,416.80
Solved Question (Simple Interest)
Principal (P) = ₹1,232
Rate of Interest (R) = 5% per annum
Time (T) = 3 years
Formula:
SI = (P × R × T) / 100
SI = (1232 × 5 × 3) / 100
SI = ₹184.80
Amount = Principal + Simple Interest
Amount = 1232 + 184.80 = ₹1,416.80
Final Answer:
Amount after 3 years = ₹1,416.80
