Compound Interest- Aptitude Questions and Answers - in Hindi

View in English View in Hindi

The difference between compound and simple interests on a certain sum for 2 years at 5% per annum is Rs.40. The sum is?


किसी राशि के लिए साधारण ब्‍याज और चक्रवृद्धि ब्‍याज के बीच का अतंर 5% वार्षिक ब्‍याज की दर से 2 वर्ष के लिए 40 रूपये है,तो राशि ज्ञात कीजिए?

A)
Rs.16,000

B)
Rs.15,000

C)
Rs.12,000

D)
Rs.10,000


Correct Answer :

Rs.16,000


Explanation :

Let the sum be rs X then,
CI = X*( 1 + 5/100 )2 - X = X*(441 / 400 - 1) = X*41 / 400
SI = X*5*2 / 100 = X / 10

As is given, CI - SI = 40
X* ( 41 / 400 - 1 / 10) = 40
X* (41 - 40) / 400 = 40
X = 16000

Post comment
Cancel
Thanks for your comment.!
Write a comment(Click here) ...
View in English View in Hindi

If Rs 7500 are borrowed at compound interest at the rate of 4% per annum, then after 2 years the amount to be paid is ?


7500 रु प्रति वर्ष 4% की दर से चक्रवृद्धि ब्याज पर उधार लिया जाता है, तो 2 साल के बाद भुगतान की जाने वाली राशि होगी?

A)
Rs. 8082

B)
Rs. 7800

C)
Rs. 8100

D)
Rs. 8112


Correct Answer :

Rs. 8112


Explanation :

Amount = P*(1+ R/100 )n , if interest is payable annually
Amount = 7500*(1 + 4/100 )2
= 7500 * (104/100)2
= 7500 * (26/25)2
= 7500 * 26/25 * 26/25
= 8112

The compound interest on Rs 2800 for 11/2 years at 10% per annum is ?


2800 रुपये पर 11/2 वर्षों में 10% वार्षिक की दर पर चक्रवृद्धि ब्याज कितने रुपए होगा?

A)
Rs. 441.35

B)
Rs. 436.75

C)
Rs. 434

D)
Rs. 420


Correct Answer :

Rs. 434


Explanation :

Let Principal = P, Rate = R% per annum, Time = n years.
When time is fraction of a year, say 43/4 years, then amount= P(1+R/100)4 x (1+(3R/4)/100)

So, Amount = 2800 * (1 + 10/100) * (1 + (1*10/2) / 100)
= 2800 * (1 + 10/100) * (1 +5/100)
= 2800 * 11/10 * 21/20
= 3234

Required C.I. = (3234 - 2800) = 434

A money lender lends Rs 2000 for 6 months at 20% per annum whereas the interest is compounded quarterly. After the given period he will get the amount of ?


एक उधारदाता 2000 रुपये 6 माह के लिए सालाना 20% प्रति वर्ष कि दर पर देता है ओर चक्रवृद्धि ब्याज तिमाही रूप से एकत्रित किया जाता है। उसे दी गई अवधि के बाद कितनी राशि प्राप्त होगी?

A)
Rs. 2205

B)
Rs. 2200

C)
Rs. 2160

D)
Rs. 2040


Correct Answer :

Rs. 2205


Explanation :

Let Principal = P, Rate = R% per annum, Time = n years.
Amount = P(1 + (R/4)/100 )4n , if interest is payable quarterly

Hence,required amount = 2000* (1 + (20/4) / 100 )4*1/2
= 2000*(1 + 5/100)2
= 2000*(21 / 20)2
= 2205

The compound interest on a certain sum of money for 2 years at 10% per annum is Rs 420. The simple interest on the same sum at the same rate and for the same time will be ?


प्रति वर्ष 10% कि दर पर 2 साल के लिए एक निश्चित राशि पर चक्रवृद्धि ब्याज 420 रुपये है। उसी राशि पर, उसी दर के लिए और उतने समय के लिए साधारण ब्याज क्या होगा?

A)
Rs. 350

B)
Rs. 375

C)
Rs. 380

D)
Rs. 400


Correct Answer :

Rs. 400


Explanation :

Let the principle is P.
As is given, compound interest= P*(1 +10/100)2 - P = 420
P*(11/10)2 - P = 420
P*(121/100) - P = 420
P*(121-100)/100 = 420
P = 2000

So, simple interest.= P*R*T / 100 = 2000* 2* 10 / 100 = 400

The difference between the simple and the compound interest compounded every six months at the rate of 10 percent per annum at the end of two years is Rs 124.05. What is the sum ?


साधारण और छमाही चक्रवृद्धि ब्याज के बीच का अंतर 10 प्रतिशत की दर से दो साल में 124.05 रुपये है। राशि क्या है?

A)
Rs. 10000

B)
Rs. 6000

C)
Rs. 12000

D)
Rs. 8000


Correct Answer :

Rs. 8000


Explanation :

Let Principal = P, Rate = R% per annum, Time = n years.
Compound Interest, CI = P* [ 1 + (R/2)/100 ]2n - P , if compound interest is half-yearly
Simple Interest, SI = P*R*T / 100

Then,CI - SI = ( P*(1 + 5/100)4 - P ) - ( P* 10* 2 / 100 ) = 124.05
P*(21/20)4 - P - P/ 5 = 124.05
P*(194481 - 160000 - 32000 ) / 160000 = 124.05
P = 19848000 / 2481
P = 8000

In what time will Rs 90600 amounts to Rs 109626 at 10% compound Interest?


10% चक्रवृद्धि ब्याज की दर पर कितने समय में 90600 रुपये से 109626 रुपये होगें?

A)
2 years

B)
3 years

C)
5 years

D)
4 years


Correct Answer :

2 years


Explanation :

Amount = P(1+R/100)n , if compound interest is payable annually
Then, 109626 = 90600*(1 + 10/100)n
109626 / 90600 = (11/10)n
(121/100) = (11/10)n
(11/10)2 = (11/10)n
n = 2 years

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs 5995. What is the simple interest on the same money at 8% per annum for 6 years ?


एक निश्चित राशि पर चक्रवृद्धि ब्याज 2 साल के लिए 20% वार्षिक की दर पर 5995 रुपये है। तो 6 साल के लिए 8% वार्षिक की दर पर उतने ही रुपये पर साधारण ब्याज होगा?

A)
Rs. 5989

B)
Rs. 6789

C)
Rs. 6540

D)
Rs. 7844


Correct Answer :

Rs. 6540


Explanation :

Let Principal = P, Rate = R% per annum, Time = n years.
Compound Interest, CI=P(1+R/100)n - P
Then, 5995 = P*(1 + 20/100)2 - P
5995 =P*(36/25 - 1)
5995 = P* 11/25
P = 5995*25 / 11
P = 13625

Hence Simple Interest, SI = P*R*T / 100 = 13625 * 8 * 6 / 100 = 6540

On a simple interest rate of 20% annually, a trader gets 6000 rupees in 3 years. How much he gets more if the lent was on compound interest ?


सालाना 20% की साधारण ब्याज दर से एक व्यापारी को 3 साल में 6000 रुपये मिलते हैं। यदि चक्रवृद्धि ब्याज पर उधार देता तो वह कितने अधिक रुपये प्राप्त करता ?

A)
1200

B)
480

C)
4000

D)
400


Correct Answer :

480


Explanation :

Let Principal = P, Rate = R% per annum, Time = n years.
Simple Interest , SI = P*R*T /100
Amount = P + Simple Interest =P + (P*R*T/100) = 6000
P + P*20*3 /100 = 6000
P = 6000*5/8 = 3750
Thus, Simple Interest in 3 years, SI = 6000 - 3750 = 2250

Compound Interest, CI=P*(1 + R/100)n - P
CI = 3750*(1 + 20/100)3 - 3750
=3750*[ (6/5)3 -1 ]
=3750*( 91/125 ) =2730

Hence, trader will be get more if the lent was on CI = CI - SI = 2730 - 2250 = 480

The difference between the compound interest and the simple interest on a certain sum at 5% per annum for 2 years is Rs 1.50 . The sum is ?


चक्रवृद्धि ब्याज और साधारण ब्याज के बीच अंतर 2 वर्ष के लिए 5% प्रति वर्ष की दर पर 1.50 रुपये है। राशि क्या है?

A)
600

B)
500

C)
400

D)
300


Correct Answer :

600


Explanation :

Let the sum is 100 then
S.I. = 100* 5* 2 / 100 = 10
C.I = 100 *(1 + 5/100)2 - 100 = 41/4
Difference between C.I and S.I = 41/4 - 10 = 0.25

So, 0.25 : 1.50 : : 100 : P
∴ P = (1.50 * 100) / 0.25 = 600

If the compound interest on a certain sum for 2 years at 12.5% per annum is 170, the simple interest will be?


यदि प्रति वर्ष 12.5% ​​की दर पर 2 साल के लिए एक निश्चित राशि पर चक्रवृद्धि ब्याज 170 है, तो साधारण ब्याज होगा?

A)
200

B)
150

C)
160

D)
170


Correct Answer :

160


Explanation :

Let the principle is P
So compound interest = P * ( 1 + 12.5/100)2 - P = 170
P* (112.5/100) *(112.5/100) - P = 170
P* (12656.25 - 10000) / 10000 = 170
∴ P = 1700000 / 2656.25

Simple interest SI = P* T* R /100
= (1700000 / 2656.25)* 2* 12.5 / 100
= 160

Albert invested an amount of Rs 8000 in a fixed deposit scheme for 2 years at compound interest rate 5% annum . How much amount will Albert get on maturity of the fixed deposit ?


अल्बर्ट ने 5% सालाना चक्रवृद्धि ब्याज दर पर 2 साल के लिए सावधि जमा योजना में 8000 रुपये की राशि का निवेश किया। सावधि जमा की परिपक्वता पर अल्बर्ट कितनी राशि प्राप्त करेगा?

A)
Rs. 8600

B)
Rs. 8620

C)
Rs. 8820

D)
Rs. 8840


Correct Answer :

Rs. 8820


Explanation :

Amount= 8000*(1 + 5/100)²
= 8000* 21/20* 21/20
= 8820

A man borrows 12500 from a bank at 20% compound interest. At the end of every year he pays 2000 as part repayment. How much (in rupees) does he still owe to the bank after three such instalments?


एक आदमी 20% चक्रवृद्धि ब्याज की दर पर बैंक से 12500 उधार लेता है। प्रत्येक वर्ष के अंत में वह 2000 का भुगतान अदा करता है। तीन ऐसी किस्तें अदा करने के बाद कितने रुपये बैंक को अभी भी देय है?

A)
15600

B)
12864

C)
13780

D)
14320


Correct Answer :

14320


Explanation :

Remaining amount after 1 year = 12500 *(120/100) - 2000 = 13000
Remaining amount after 2 year = 13000*(120/100) - 2000 = 13600
Remaining amount after 3 year = 13600*(120/100) - 2000 = 14320

A sum of 2400 deposited on compound interest, doubled after 5 years. How much will it be after 20 years?


चक्रवृद्धि ब्याज पर जमा 2400 की राशि, 5 साल के बाद दोगुनी हो जाती हे। 20 साल बाद यह कितनी होगी ?

A)
24000

B)
38400

C)
19200

D)
14320


Correct Answer :

38400


Explanation :

2P = P *(1 + R/100)5
24 P = P *(1 + R/100)20

The amount becomes 24 times = 16 times and required amount = 2400*16 =38400

In how many years Rs 800 will be Rs 882 at 5% per annum if compounded annually?


5 % प्रतिवर्ष चक्रवृद्धि ब्याज पर 800 रुपये कितने वर्ष में 882 रुपये हो जाएंगे?

A)
1 year

B)
2 years

C)
3 years

D)
4 years


Correct Answer :

2 years


Explanation :

amount = P ( 1 + R/100 )n
As is given, 882 = 800*( 1 + 5/100 )n
882/800 = (21/20)n
441/400 = (21/20)n
(21/20)2 = (21/20)n
N=2

How much will the compound interest at the rate of 15/2% annually in 2 years on 6400 rupees?


6400 रुपये का 2 वर्षों में 15/2 % वार्षिक की दर पर चक्रवृद्धि ब्याज कितने रुपए होगा?

A)
1016

B)
996

C)
976

D)
966


Correct Answer :

996


Explanation :

compound interest, CI= 6400* (1 + (15 / 2) / 100 )2 - 6400
= 6400* (1 + 15 / 200 )2 - 6400
= 6400* (43 / 40 )2 - 6400
= 6400* (1849 / 1600) - 6400
= 6400* (1849 / 1600 - 1)
= 6400* 249 / 1600 = 996

The difference between the simple and the compound interest on a certain sum of money at 4% per annum in 2 years is 10 rs. What is the sum ?


एक निश्चित राशि 4% प्रति वर्ष की दर से 2 वर्ष में , सरल और चक्रवृद्धि ब्याज के बीच का अंतर 10 Rs है। राशि क्या है?

A)

5,000


B)

6,000


C)

6,250


D)

7,500



Correct Answer :

6,250


Explanation :

Let the sum is 100 then
S.I. = 100* 4* 2 / 100 = 8
C.I = 100 *(1 + 4/100)2 - 100 = 100*( 26/25) 2 - 100 = 204/25
Difference between C.I and S.I = 204/25 - 8 = 4/25 = .16

So, 0.16 : 10 : : 100 : P
∴ P = (10* 100) / 0.16 = 6250

Latest Updates

Articles

Choose appropriate article for the given sentence:
__________ teachers had ________ late lunch as their meeting lasted longer than___ hour.

Child Development & Pedagogy

Which of the following is the most effective way to create interest for learning in a student?

The rules of presenting the content to make them easy are called_________?

The term SLD in children’s mental health denotes for?

The child will be able to use proper sentences by the age of?

Indian Politics

______is an institutional mechanism to provide representation to the states of India?

Books and Authors

Which text is not written by Kalidasa?

Indian Constitution

Which Constitutional Amendment introduced Right to Education as a Fundamental Right?

Indian History

Which animal is engraved on Harappan seals?

Indian Politics

Who is known for initiating electoral reforms in India to ensure free and fair elections?

Indian Constitution

The sequence in which the given terms are mentioned in the preamble to the Constitution of India is?

Which of the following parts of the Constitution of India provides fundamental rights ?

Books and Authors

Who among the following is the author of ‘Politics’?

Which one is the text not written by Abul Fazl?

Which King was the author of Ratnawali, Nagananda, Priyadarsika?

Fill in the blank

Fill in the blanks with the most appropriate preposition in the given sentence.
The class begins _______ 7:30 am _____ the morning.

The workers were so skilled that their _____ was quite visible even to a layman.

Articles

Choose appropriate article for the given sentence:
______ German is ___ easy language to learn for English speaking students.

Latest Job Notifications

Banking Jobs

बैंकिंग कार्मिक चयन संस्थान Institute of Banking Personnel Selection(IBPS) - 7855 पद - 29/07/2022 अंतिम तिथि

SSC Recruitment

कर्मचारी चयन आयोग (एसएससी) Staff Selection Commission (SSC) - 1411 पद - 29/07/2022 अंतिम तिथि

Jobs in Rajasthan

राजस्थान अधीनस्थ और मंत्रिस्तरीय सेवा चयन बोर्ड Rajasthan Subordinate and Ministerial Services Selection Board (RSMSSB) - 5546 पद - 22-Jul-2022 अंतिम तिथि

Railway Recruitment

उत्तर मध्य रेलवे भर्ती प्रकोष्ठ Railway Recruitment Cell(NCR) - 1659 पद - 01/08/2022 अंतिम तिथि

Jobs in West Bengal

इंडियन पोस्ट सर्विस Indian Post Service - 2357 पद - 19/08/2021 अंतिम तिथि - पश्चिम बंगाल पोस्टल सर्कल

Banking Jobs

भारतीय स्टेट बैंक State Bank of India(SBI) - 6100 पद - 26/07/2021 अंतिम तिथि - CRPD/APPR/2021-22/10

SSC Recruitment

कर्मचारी चयन आयोग Staff Selection Commission(SSC) - 25271 पद - 31/08/2021 अंतिम तिथि

Jobs in Madhya Pradesh

राष्ट्रीय स्वास्थ्य मिशन मध्य प्रदेश National Health Mission MP(NRHM) - 5215 पद - 22/06/2021 अंतिम तिथि

Jobs in Punjab

पंजाब स्टेट पावर कॉर्पोरेशन लिमिटेड Punjab State Power Corporation Limited (PSPCL) - 2632 पद - 20/06/2021 अंतिम तिथि

Jobs in Chhattisgarh

स्वास्थ्य सेवा निदेशालय, छत्तीसगढ़ Department of Health & Family Welfare, Chhattisgarh - 267 पद - 26/06/2021 अंतिम तिथि