Showing posts with label SI & CI. Show all posts
Showing posts with label SI & CI. Show all posts

Wednesday, 8 November 2017


1. At what percentage on compound interest will a sum of money become 8 times in 3 years?
(a) 300%
(b) 200%
(c) 100%
(d) 50%
(e) 20%

1. चक्रवृद्धि ब्याज पर कौन से प्रतिशत पर 3 साल में 8 गुना अधिक होगा?
(a) 300%
(b) 200%
(c) 100%
(d) 50%
(e) 20%

2. If the compound interest on a certain sum for two years at 3% be Rs. 10150. What would be the simple interest?
(a) Rs. 10000
(b) Rs. 12000
(c) Rs. 15000
(d) Rs. 20000
(e) Rs. 21000

2. यदि एक निश्चित राशि पर दो साल के लिए 3% की चक्रवृद्धि ब्याज रु। 10150. सरल ब्याज क्या होगा?
(a) Rs. 10000
(b) Rs. 12000
(c) Rs. 15000
(d) Rs. 20000
(e) Rs. 21000

3. A sum of money at compound interest amounts to thrice itself in three years. in how many years will it be 9 times itself?
(a) 2 years
(b) 9 years
(c) 3 years
(d) 12 years
(e) 6 years

3. चक्रवृद्धि ब्याज पर पैसे की राशि तीन साल में तीन बार ही होती है। यह कितने सालों में 9 गुना होगा?

(a) 2 साल
(b) 9 साल
(c) 3 साल
(d) 12 साल
(e) 6 साल

4. There is 80% increase in an amount in 8 years at simple interest. What will be the compound interest of Rs.14,000 after 3 years at the same rate?
(a) Rs. 4236
(b) Rs. 4634
(c) Rs. 4422
(d) Rs. 4362
(e) Rs. 4262

4. 8 वर्षों में साधारण ब्याज में 80% की वृद्धि हुई है। एक ही दर पर 3 साल बाद 14,000 रुपये का चक्रवृद्धि ब्याज क्या होगा?

(a) Rs. 4236
(b) Rs. 4634
(c) Rs. 4422
(d) Rs. 4362
(e) Rs. 4262

5. The difference between the compound interest and the simple interest on a certain sum of money 5% per annum for 2 years is Rs. 1500. What is the sum?
(a) Rs. 150000
(b) Rs. 200000
(c) Rs. 450000
(d) Rs. 600000
(e) Rs. 620000

5. चक्रवृद्धि ब्याज और साधारण ब्याज के बीच 2 साल के 5% प्रति वर्ष के लिए निश्चित ब्याज का अंतर रु। 1500. राशि क्या है?
(a) Rs. 150000
(b) Rs. 200000
(c) Rs. 450000
(d) Rs. 600000
(e) Rs. 620000

6. What is the sum of money at compound interest will amount to Rs. 2249.52 in 3 years, If the rate of interest is 3% for the first year, 4% for the second year and 5% for the third year?
(a) Rs. 1500
(b) Rs. 2000
(c) Rs. 4500
(d) Rs. 6000
(e) Rs. 6100

6. चक्रवृद्धि ब्याज पर पैसे की राशि रु। की राशि होगी 3 वर्षों में 2249.52, यदि पहले वर्ष के लिए ब्याज दर 3% है, दूसरे वर्ष के लिए 4% और तीसरे वर्ष के लिए 5% है?
(a) Rs. 1500
(b) Rs. 2000
(c) Rs. 4500
(d) Rs. 6000
(e) Rs. 6100

7. If the difference between the compound interest and the simple interest on a certain sum of money at 5% per annum for 3 years is Rs. 1220. What is the sum?
(a) Rs. 150000
(b) Rs. 200000
(c) Rs. 250000
(d) Rs. 160000
(e) Rs. 110000

7. किसी राशि पर यदि चक्रवृद्धि ब्याज और साधारण ब्याज का अंतर, 3 वर्ष के लिए प्रतिवर्ष 5% पर  रु 1220 है, तोः राशि क्या है?
(a) Rs. 150000
(b) Rs. 200000
(c) Rs. 250000
(d) Rs. 160000
(e) Rs. 110000

8. The difference between compound interest and Simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
(a) 6%
(b) 8%
(c) 12%
(d) 15%
(e) 14%

8. चक्रवृद्धि ब्याज और सरल ब्याज के बीच का अंतर 15,000 रुपये पर 2 साल के लिए, 96  रुपये . इस पर वार्षिक ब्याज दर क्या है?

(a) 6%
(b) 8%
(c) 12%
(d) 15%
(e) 14%

9. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
(a) Rs. 3972
(b) Rs. 3465
(c) Rs. 3564
(d) Rs. 3729
(e) Rs. 3529

9. सरल हित में 6 वर्षों में एक राशि में 60% की वृद्धि हुई है। तो 12,000 रु पर  चक्रवृद्धि ब्याज एक ही दर पर 3 साल बाद क्या होगा?
(a) Rs. 3972
(b) Rs. 3465
(c) Rs. 3564
(d) Rs. 3729
(e) Rs. 3529

10. The difference between simple interest and compound interest on Rs. 900 for one year at 10% per annum reckoned half yearly is:
(a) Rs. 2.15
(b) Rs. 2.25
(c) Rs. 2.35
(d) Rs. 1.15
(e) Rs. 2.15

10.  900रु  पर साधारण ब्याज और चक्रवृद्धि ब्याज के बीच  का अंतर, प्रतिवर्ष 10% प्रति वर्ष एक साल के लिए अर्ध वार्षिक क्या होगा है:
(a) Rs. 2.15
(b) Rs. 2.25
(c) Rs. 2.35
(d) Rs. 1.15
(e) Rs. 2.15

11. Arun and Gaurav each completed their respective debt by paying 3 similar annual installments of Rs. 30,000. Arun has paid 10% per annum ordinary interest rate, while Gaurav paid 10% per year compounded interest rate. Find the difference between their debt?
(a) Rs 400   
(b) Rs 350
(c) Rs 300    
(d) Rs 450
(e) Rs 500

11. अरुण और गौरव प्रत्येक ने 30,000 रुपये की 3 समान वार्षिक किश्तों का भुगतान करके अपने संबंधित ऋण को पूरा किया. अरुण ने प्रतिवर्ष 10% साधारण व्याज दर के अनुसार  भुगतान किया है जबकि गौरव ने 10% प्रति वर्ष चक्रवृद्धि ब्याज दर के अनुसार भुगतान किया. उनके ऋण के बीच का अंतर ज्ञात कीजिये?
(a) 400 रुपये  
(b) 350 रुपये
(c) 300 रुपये   
(d) 450 रुपये
(e) 500 रुपये

12. Anjali invested Rs 5,800 for two years. At the end of two years, at what percentage of compound interest rate, will it get the amount of Rs. 594.50?
(A) 5%
(B) 8%
(C) 7%
(D) 9%
(E) 10%

12. अंजलि ने 2 वर्ष के लिए 5800 रुपये की राशि का निवेश किया . दो वर्ष के अंत में कितनी प्रतिशत वर्षिक चक्रवृद्धि ब्याज दर पर उसे 594.50 रूपये की राशि प्राप्त होगी? 
(a) 5%    
(b) 8%
(c) 7%    
(d) 9%
(e) 10%

13. One person lends 3,000 rupees on annual interest rate of 10% annually. At the end of each year, he pays Rs 1000. To complete all your dues, how much will he have to pay after 3 years?
(a) 1583 rupees
(b) 1789 rupees
(c) 1600 rupees
(d) 1683 rupees
(e) None

13. एक व्यक्ति 10% वार्षिक रूप से संयोजित ब्याज दर से 3000 रूपये उधार लेता है. प्रत्यके वर्ष के अंत में, वह 1000 रूपये का भुगतान करता है. अपना सभी बकाया पूरा करने के लिए 3 वर्ष के अंत में उसे कितनी राशि का भूगतान करना होगा?
(a) 1583 रूपये  
(b) 1789 रूपये
(c) 1600 रूपये  
(d) 1683 रूपये
(e) इनमे से कोई नहीं

14. Compound interest and simple interest ratio for 3 years is 3: 2 for two years. Whereas the amount invested is Rs. 5000. What will be the difference between compound interest and simple interest after three years?
(A) 15,000 rupees
(B) 20,000 rupees
(C) 10,000 rupees
(D) 25,000 rupees
(E) None of these

14. दो वर्ष के लिए चक्रवृद्धि ब्याज और साधारण ब्याज का अनुपात 3: 2 है. जबकि निवेश की गयी राशि 5000 रूपये है. तीन वर्ष के बाद चक्रवृद्धि ब्याज और साधारण ब्याज के बीच का अंतर कितना होगा?
(a) 15,000रूपये  
(b) 20,000 रूपये
(c) 10,000रूपये  
(d) 25,000 रूपये
(e) इनमे से कोई नहीं

15. How much amount of compound interest can be obtained at the rate of 5% per year at the end of 3 years on the amount of 8840 rupees?
(A) 1393.405
(B) 1326 rupees
(C) 1384.50
(D) 1340
(E) None of these

15. 8840 रुपये की राशि पर 3 वर्ष के अंत में 5% प्रति वर्ष की दर से चक्रवृद्धि ब्याज की कितनी राशि प्राप्त की जा सकती है?
(a) 1393.405 रुपये
(b) 1326 रुपये
(c) 1384.50 रुपये
(d) 1340 रुपये
(e) इनमे से कोई नहीं

16. Compound interest on a fixed amount for 2 years is 40.80 rupees and ordinary interest is 40 rupees. Know the interest rate?
(A) 2%
(B) 5%
(C) 4%
(D) 8%
(E) None of these

16. 2 वर्ष के लिए एक निश्चित राशि पर अर्जित चक्रवृद्धि ब्याज 40.80 रूपये और साधारण ब्याज 40 रुपये है. ब्याज दर ज्ञात कीजिये?
(a) 2%    
(b) 5%
(c) 4%    
(d) 8%
(e) इनमे से कोई नहीं

17. If a sum of Rs.8000 lended for 20% per annum at compound interest then the sum of the amount will be Rs.13824 in:
(a) 2 years
(b) 1 year
(c) 3 years
( d) 4 years
(e)  None


17. यदि चक्रवृद्धि ब्याज पर प्रतिवर्ष 20% के लिए 8000 रुपये की राशि दी जाती है तो राशि का  मूल्य रु133824 कितने समय में होगा:
(a) 2 years
(b) 1 year
(c) 3 years
(d) 4 years
(e)  इनमें से कोई नहीं

18. If a certain sum becomes double in 3 years at certain rate of interest at C.I. Then in how many years it will become 16 times?
A) 12 years
B) 24 years
C) 8 years
D) Cannot be determined
E) None of the above

18. यदि सीआईआई में निश्चित ब्याज दर पर एक निश्चित राशि 3 वर्षों में दोगुनी हो जाती है। फिर कितने सालों में यह 16 गुना हो जाएगा?
(a) 12 साल
(b) 24 साल
(c) 8 साल
(d) निर्धारित नहीं किया जा सकता है
(e) उपरोक्त में से कोई भी नहीं

19. A sum becomes triple in 6 years at S.I. The same sum will become 19 times in how many years?

A) 50 years
B) 48 years
C) 54 years
D) 57 years
E) None of these

19. एक राशि एसआई में 6 वर्षों में तीन गुना हो जाती है। कितने सालों में समान राशि 1 9 गुना होगी?
(a) 50 साल
(b) 48 साल
(c) 54 साल
(d) 57 साल
(e) इनमें से कोई नहीं

20. A sum of Rs 343 becomes 512 in 3 years at C.I. Find the rate of interest.
A) 14 (2/7) %
B) 12.5 %
C) 8 (2/3) %
D) 16 (2/3) %
E) None of these

20. 343 रुपये की राशि सीएसआई में 3 वर्षों में 512 हो जाती है। रुचि की दर का पता लगाएं
(a) 14 (2/7)%
(b) 12.5%
(c) 8 (2/3)%
(d) 16 (2/3)%
(e) इनमें से कोई नहीं

21. A sum of money was invested for 14 years in Scheme A, which offered simple interest at a rate of 8% pa. The amount received from Scheme A after 14 years was then invested for two years in Scheme
B, which offers compound interest (compounded annual) at a rate of 10% pa. If the interest received from Scheme B was Rs. 6678, what was the sum invested in Scheme A?

(SBI PO Prelims 2016)

(a)Rs. 15500
(b)Rs. 14500
(c)Rs. 16000
(d)Rs. 12500
(e)Rs. 15000

21. स्कीम ए में 14 वर्ष के लिए धन की राशि का निवेश किया गया था, जिसने 8% की दर से साधारण ब्याज की पेशकश की थी। 14 वर्षों के बाद योजना ए से प्राप्त राशि को योजना बी में दो साल तक निवेश किया गया था, जो 10% की दर से चक्रवृद्धि ब्याज (चक्रवृद्ध वार्षिक) की पेशकश करता है। यदि स्कीम बी से प्राप्त ब्याज रु 6678, योजना ए में निवेश की गई राशि क्या थी?

(SBI PO Prelims 2016)

(a)Rs. 15500
(b)Rs. 14500
(c)Rs. 16000
(d)Rs. 12500
(e)Rs. 15000

22. According to a new plan rolled out by HISP Bank, the rate of simple interest on a sum of money is 8% p.a. for the first two years, 10% p.a. for the next three years and 6% p.a. for the period beyond the first five years. Simple interest accrued on a sum for a period of eight years is Rs. 12,800. Find the sum.

(SBI PO Prelims 2015)

(a) Rs. 24, 000
(b) Rs. 16, 000
(c) Rs. 15, 000
(d) Rs. 13,500
(e) None of these


22. HISP बैंक द्वारा शुरू की गई एक नई योजना के मुताबिक, साधारण ब्याज की रकम 8% पीए है पहले दो वर्षों के लिए, 10% पीए अगले तीन वर्षों और 6% पीए के लिए पहले पांच वर्षों से अधिक की अवधि के लिए, आठ साल की अवधि के लिए राशि पर अर्जित साधारण ब्याज रु 12,800। राशि खोजें:

(SBI PO Prelims 2015)

(a) रु 24, 000
(b) रु 16, 000
(c) रुपये 15, 000
(d) रुपये 13,500
(e) इनमें से कोई नहीं

23. What will be the compound interest accrued on a sum of  Rs 35000 at the rate of 8 p.c.p.a in 2 years?

(SBI Clerk Prelims 2015)

(a) Rs 5,884
(b) Rs 5,284
(c) Rs 5,524
(d) Rs 5,428
(e) None

23. 2 वर्षों में 8 पी.एस.सी.पी.ए. की दर से 35,000 रुपये की राशि पर अर्जित चक्रवृद्धि ब्याज क्या होगा?

(a) रु 5,884
(b) रु। 5,284
(c) 5,524 रुपये
(d) रुपये 5,428
(e) कोई भी नहीं

24. Arun borrowed a sum of money form Jayant at the rate of 8% per annum simple interest for the first four years, 10% per annum for the next 6 years and 12% per annum for the period beyond 10 years. If he pays a total of Rs 12160 as interest only at the end of 15 years, how much money did he borrow?

(NIACL Assistant Prelims 2016)

(a) Rs 8000
(b) Rs 10000
(c) Rs 12000
(d) Rs 9000
(e) None of these

24. अरुण ने पहले चार वर्षों के लिए 8% प्रति वर्ष साधारण ब्याज, अगले 6 वर्षों के लिए प्रति वर्ष 10% और प्रतिवर्ष 12% 10 वर्षों से अधिक की अवधि के लिए अगर वह 15 साल के अंत में केवल रु। 12160 ब्याज का भुगतान करता है, तो उसने कितना पैसा उधार लिया था?

(NIACL Assistant Prelims 2016)

(a) रु 8000
(b) रु 10000
(c) रु 12000
(d) 9 000 रुपये

(e) इनमें से कोई नहीं

Saturday, 7 January 2017



















1. The difference between compound interest and simple interest on a sum for 2 yrs at 20% per annum, when the interest is compounded annually is Rs 240. If the interest were compounded half yearly, the difference in two interests over same period would be ?

A. Rs 384.6
B. Rs 344.2
C. Rs 324.8
D. Rs 316.5
E. None of these

Sol. Difference for 2 yrs = P*20*20/100*100 = 240
Solving, we get,

P = 6000

So SI for 2 yrs = 6000*20*2/100 = 2400
Amount at compounded half yearly = 6000 [1 + 10/100]^4

Solving,we get,

Amount at compounded half yearly = 8784.6
So CI at compounded half yearly = 8784.6 – 6000 = 2784.6
So difference = 2784.6 – 2400 = Rs 384.6

2. X borrows a sum of Rs.100,000 from a bank @ 10% p.a. compounded annually for 2 years. He then lends Rs.20,000, compounded every 8 months @ 10%, to each of his five friends for a period of two years. At the end of two years, X collects all the money from his friends and clears his debt with the bank. How much money did X make at the end of the two-year period ?

A. 12,100
B. 14,100
C. 15,100
D. 4,971
E. 13,200

Sol. The amount to be paid to bank after 2 years will be 100000 × (1.1)2 = Rs.121,000.
     A 2-year period will be made up of three 8-month periods, each of which will cost each of the friends 10%.
     The amount that each of the friends will pay back after 2 years will be 20000 × (1.1)3 = Rs.26620.
     So, the total sum of money collected from the five friends will be 5 × 26620 = Rs.133,100.
     After clearing his debt with the bank, X will have made 133100 – 121000 = Rs.12,100.

3. X lent Rs 2500 to Y for 4 years and Rs 4000 to Z for 3 years on simple interest at the same rate of interest and received Rs 4400 in all from both of them as interest. The rate of interest per annum is:

A. 25%
B. 17%
C. 22%
D. 20%
E. None of these

Sol. Let the rate of interes be R%. Then,
     (2500*R*4)/100 + (4000*R*3)/100 = 4400
     R = 4400/220 = 20%. 

4. The simple interest on a sum of money is 8/25 of sum. If the number of years numerically is half the rate of interest then what is the rate of interest ?

A. 5
B. 4
C. 6
D. 8
E. None of these

Sol. Given, S.I. = (8/25)P
            Time = t = R/2

Now, S.I.= PRT/100 
     (8/25)P = [P*R*(R/2)]/100
Solving, R = 6%.

5. What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years at simple interest?   

A. Rs. 400
B. Rs. 120
C. Rs. 510 
D. Rs. 220
E. None of these

Sol. Rate % = 100(568 - 520)/[520*7 - 568*5] = 6%
     Sum = (568 - 520)*100/[(7-5)*6] = Rs 400.

6. Deepak borrows Rs.5000 at simple Interest from a lender. At the end of 3 years, she again borrows Rs.2000 and settled that amount after paying Rs.5000 as interest after 8 years from the time she made the first borrowing. what is the rate of interest ?

A. 5%
B. 7%
C. 9%
D. 10%
E. None of these

Sol. SI for Rs.5000 for 8 years= (5000*r*8)/100
Again borrowed=2000
SI = (2000*r*5)/100
Total interest= [(5000*r*8)/100] + [(2000*r*5)/100] = 5000
400r + 100r = 5000
r = 10%

7. A sum was put at simple interest at certain rate for 3 years. Had it been put at 5% higher rate, it would have fetched Rs 108 more. What is the sum ?

A. 360
B. 480
C. 720
D. 960
E. None of these

Sol. Let the sum be S.
108 = S*5*3/100
S = Rs 720.

8. The ratio of amount for two years under CI per annum and for one year under SI is 4/3, when the rate of interest is same, Find the rate of Interest ?

A. 100/3 %
B. 25 %
C. 33/2 %
D. None of these
E. Can't be determined

Sol. SI for 1 year = CI for 1 year
P(1+r/100)2 /P(1+r/100) = 4/3
1+ r/100 = 4/3
r/100 = 4/3 -1 = 1/3
r = 100/3 % 

9. There are 2 schemes A and B, both have 12% interest rate. A person invests in them in the ratio of 3:4. After 3 years, the difference between interest from A and interest from B is Rs 360, calculate the amount invested in scheme A ?

A. 4000
B. 3000
C. 2000
D. 1000
E. None of these

Sol. Lets assume investment by A to be '3x'.
Assume invested by B to be '4x'.

S.I. from A = (3x*3*12)/100 = 1.08x
S.I. from B = (4x*3*12)/100 = 1.44x

Difference = 1.44x - 1.08x = 0.36x
Thus, 0.36x = 360
x = Rs 1000

Investment by A = 3*1000 = Rs 3000.

10. A sum of money doubles itself in 8 years at simple interest . In how many years will it triple? 

(a) 16 years 
(b) 15 years 
(c) 14 years 
(d) 12 years
(e) None of these 

Sol.  P = P*R*8/100
      R = 100/8

Thus, 2P = (P*T*100)/(8*100)
       T = 16 yrs.


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