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UGC-NET-Paper1

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A certain sum of money becomes 28800 in 2 years at 20% per annum of compound interest (Compounded annually). The sum of money is:

1. 24000
2. 22000
3. 21000
4. 20000

एक निश्चित धनराशि 20% वार्षिक चक्रवृद्धि ब्याज (वार्षिक रूप से संयोजित) की दर से 2 वर्षों में 28800 हो जाती है। धन का योग है:

1. 24000
2. 22000
3. 21000
4. 20000
This Question came in
UGC-NET-Management-02-September-2024-Shift-2-Q23
UGC-NET Paper 1 Full Course

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Detailed Explanation & Answer
A = P(1 + r)^n

Where:
A = final amount (28800)
P = principal amount (unknown)
r = annual interest rate (20% or 0.20)
n = number of years (2)

Plugging in the values:
28800 = P(1 + 0.20)^2
28800 = P(1.44)

Now, solve for P:
P = 28800 / 1.44
P = 20000
A = P(1 + r)^n

कहाँ:
A = अंतिम राशि (28800)
P = मूल राशि (अज्ञात)
r = वार्षिक ब्याज दर (20% या 0.20)
n = वर्षों की संख्या (2)

मानों को प्लग इन करना:
28800 = P(1 + 0.20)^2
28800 = P(1.44)

अब, P के लिए हल करें:
P = 28800/1.44
P = 20000
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