At what rate of compound interest per annum, a sum of rs. 1200 becomes rs. 1348.32 in 2 years?

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

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At what rate of compound interest per annum, a sum of rs. 1200 becomes rs. 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?

A

6%

B

6.5%

C

7%

D

7.5%

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

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

7.5% 6.5% 7% 6%

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 ⇒ 106 = 1 + R 100 100 ⇒  1 + 6 = 1 + R 100 100

⇒  R = 6% per annum.

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At what rate of compound interest per annum will a sum

At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years? a) 6% b) 6.5% c) 7% d) 7.5%

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

A. 6% B. 6.5% C. 7% D. 7.5%

Answer: Option A

Solution(By Examveda Team)

LettheratebeR%p.a. Then,1200× (1+ R 100 ) 2 =1348.32 ⇒ (1+ R 100 ) 2 = 134832 120000 = 11236 10000 ∴ (1+ R 100 ) 2 = ( 106 100 ) 2 ⇒1+ R 100 = 106 100 ⇒R=6%

LettheratebeR%p.a.Then,1200×(1+R100)2=1348.32⇒(1+R100)2=134832120000=1123610000∴(1+R100)2=(106100)2⇒1+R100=106100⇒R=6%

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At what rate of compound interest per annum will sum of Rs 1200 becomes 1348.32 in 2 year?

134832=1200(1+R100)2(1+R100)2=1348.301200(1+R100)2=1123610000(1+R100)=106100R=6%

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