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A man invests Rs 5000 in a bond which gives compound interest at 4% per annum during the first year, 5% per annum during the second year and 10% during the third year. How much amount the man will get at the end of third year.

1. Rs 6500
2. Rs 5500
3. Rs 5999
4. Rs 6006

एक व्यक्ति एक बांड में ₹ 5000 का निवेश करता है जिससे उसे चक्रवृद्धि ब्याज प्रथम वर्ष में 4 % वार्षिक दर से, टूसरे वर्ष में 5 % वार्षिक दर से और तीसरे वर्ष में 10% वार्षिक दर से मिलता है। तीसरे वर्ष की समाप्ति पर उस व्यक्ति को कितनी राशि प्राप्त होगी?

1. 6500 रुपये
2. 5500 रुपये
3. 5999 रुपये
4. 6006 रुपये
This Question came in
UGC-NET-History-28-February-2023-Shift-2-Q21
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Detailed Explanation & Answer
To find the amount at the end of the third year, we can use the formula for compound interest:

A = P(1 + r/100)^n

Where:
A = Final amount
P = Principal amount (initial investment)
r = Interest rate per annum
n = Number of years

Given:
P = Rs 5000
r1 = 4%
r2 = 5%
r3 = 10%

First Year:
A1 = 5000(1 + 4/100)^1
A1 = 5000(1.04)
A1 = Rs 5200

Second Year:
A2 = 5200(1 + 5/100)^1
A2 = 5200(1.05)
A2 = Rs 5460

Third Year:
A3 = 5460(1 + 10/100)^1
A3 = 5460(1.10)
A3 = Rs 6006
तीसरे वर्ष के अंत में राशि ज्ञात करने के लिए, हम चक्रवृद्धि ब्याज के सूत्र का उपयोग कर सकते हैं:

ए = पी(1 + आर/100)^एन

कहाँ:
ए = अंतिम राशि
पी = मूल राशि (प्रारंभिक निवेश)
आर = प्रति वर्ष ब्याज दर
n = वर्षों की संख्या

दिया गया:
पी = 5000 रुपये
आर1 = 4%
आर2 = 5%
आर3 = 10%

प्रथम वर्ष:
ए1 = 5000(1 + 4/100)^1
ए1 = 5000(1.04)
A1 = 5200 रुपये

दूसरा साल:
ए2 = 5200(1 + 5/100)^1
ए2 = 5200(1.05)
A2 = 5460 रुपये

तीसरा साल:
ए3 = 5460(1 + 10/100)^1
ए3 = 5460(1.10)
A3 = 6006 रुपये
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