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If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000?
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If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 ...
Given:
Pi (principal + interest) = Rs. 96
r (rate of interest) = 8%
n (time period) = 1 year
To find:
Principal amount (P)
Formula:
Compound Interest (CI) = P [(1 + r/100)^n – 1]
where P = principal amount, r = rate of interest, n = time period
Calculation:
Step 1: Calculate the compound interest (CI) using the given formula
CI = Pi – P
CI = P [(1 + r/100)^n – 1]
96 – P = P [(1 + 8/100)^1 – 1]
96 – P = P [(1.08)^1 – 1]
96 – P = P [0.08]
Step 2: Simplify the equation
96 = P [1 + 0.08]
96 = P [1.08]
P = 96/1.08
P = Rs. 88.89 (approx.)
Step 3: Find the principal amount (P)
P = Rs. 88.89 (approx.)
Answer:
The principal amount (P) is Rs. 88.89 (approx.)
Option e: None of the above
Explanation:
None of the given options match the calculated value of P, which is Rs. 88.89 (approx.). Therefore, the correct answer is option e: None of the above.
Pi (principal + interest) = Rs. 96
r (rate of interest) = 8%
n (time period) = 1 year
To find:
Principal amount (P)
Formula:
Compound Interest (CI) = P [(1 + r/100)^n – 1]
where P = principal amount, r = rate of interest, n = time period
Calculation:
Step 1: Calculate the compound interest (CI) using the given formula
CI = Pi – P
CI = P [(1 + r/100)^n – 1]
96 – P = P [(1 + 8/100)^1 – 1]
96 – P = P [(1.08)^1 – 1]
96 – P = P [0.08]
Step 2: Simplify the equation
96 = P [1 + 0.08]
96 = P [1.08]
P = 96/1.08
P = Rs. 88.89 (approx.)
Step 3: Find the principal amount (P)
P = Rs. 88.89 (approx.)
Answer:
The principal amount (P) is Rs. 88.89 (approx.)
Option e: None of the above
Explanation:
None of the given options match the calculated value of P, which is Rs. 88.89 (approx.). Therefore, the correct answer is option e: None of the above.
Community Answer
If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 ...
Pì² = 96
Rate = 8%
so,
P(rate/100)² = 96
P(8/100)² = 96
P( 64/10000) = 96
P. = 96×10000/64
P = 15000
Rate = 8%
so,
P(rate/100)² = 96
P(8/100)² = 96
P( 64/10000) = 96
P. = 96×10000/64
P = 15000
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If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000?
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If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000?.
If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If pi = Rs. 96 and r= 8% compounded annually then P? a. 14000 b.15000 c. 16000 d. 17000?.
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