At what rate of compound interest per annum will a sum of ₹ 1200 become ₹ 1348.32 in 2 years

Question

At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

प्रति वर्ष चक्रवृद्धि ब्याज की किस दर से 1200 रुपये की राशि 2 वर्षों में 1348.32 रुपये हो जाएगी?

Answer A.

A.Let the rate be r% p.a. Principle (P) = 1200 rs Amount (A) = 1348.32 n = 2 year A = P (1+r/100)^n 1348.32 = 1200 (1+r/100)^2 134832/120000 = (1+r/100)^2 11236/10000 = (1+r/100)^2 (106/100)^2 = (1+r/100)^2 (1+r/100)^2 = (106/100)^2 (1+r/100) = (106/100) r/100 = (106/100) - 1 r/100 = 6/100 r = 6% So the rate % is 6. So the correct answer is option A.

A.माना कि दर r% प्रति वर्ष है। मूलधन (P) = 1200 रुपये राशि (A) = 1348.32 n = 2 वर्ष A = P (1+r/100)^n 1348.32 = 1200 (1+r/100)^2 134832/120000 = (1+r/100)^2 11236/10000 = (1+r/100)^2 (106/100)^2 = (1+r/100)^2 (1+r/100)^2 = (106/100)^2 (1+r/100) = (106/100) r/100 = (106/100) - 1 r/100 = 6/100 r = 6% अतः दर 6% है। इसलिए सही उत्तर विकल्प A है।

View Similar questions (संबन्धित प्रश्न देखें)

Question

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

एक निश्चित राशि पर 3 वर्षों के लिए 8% प्रति वर्ष की दर से साधारण ब्याज, 4000 रुपये पर 2 वर्षों के लिए 10% प्रति वर्ष की दर से चक्रवृद्धि ब्याज का आधा है। साधारण ब्याज पर रखी गई राशि है:

Answer C.

Question

The sum of money amounts to rs.6690 after 3 years and to rs.10,035 after 6 years on compound interest. find the sum.

एक राशि चक्रवृद्धि ब्याज पर 3 साल बाद 6690 रुपये और 6 साल बाद 10,035 रुपये हो जाती है। राशि का पता लगाएं।

Answer B.

Question

What is the difference between the compound interests on Rs. 5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?

5000 रुपये पर 1 1/2 साल के लिए 4% वार्षिक और अर्ध-वार्षिक चक्रवृद्धि ब्याज के बीच का अंतर क्या है?

Answer A.

Question

A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest. Find the sum -

एक राशि चक्रवृद्धि ब्याज पर 3 साल बाद 6690 रुपये और 6 साल बाद 10,035 रुपये हो जाती है। राशि ज्ञात कीजिए l

Answer B.

• Aptitude
• Simple and compound interest

Correct Answer:

Description for Correct answer:
\( \Large A=P \left(1+\frac{R}{100}\right)^{n}\)

\( \Large 1348.32=1200 \left(1+\frac{R}{100}\right)^{2}\)

\( \Large \frac{134832}{120000}= \left(1+\frac{R}{100}\right)^{2}\)

\( \Large \frac{2809}{2500}= \left(1+\frac{R}{100}\right)^{2}\)

\( \Large \frac{53}{50}=1+\frac{R}{100} \)

R= 6 %

Part of solved Simple and compound interest questions and answers : >> Aptitude >> Simple and compound interest

Correct Option: D

Here , Amount ( A ) = ₹ 1348.32 , P = ₹ 1200 , Rate ( R ) = ? , Time = 2 years

A = P		1 +	R		T
100

⇒ 1348.32 = 1200		1 +	R		2
100

⇒	1348.32	=		1 +	R		2
1200	100

⇒	134832	=		1 +	R		2
120000	100

⇒	11236	=		1 +	R		2
10000	100

⇒		106		2	=		1 +	R		2
100		100

⇒  R = 6% per annum.

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