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Q.

The simple interest in 3 years and compound interest in 2 years on a certain sum of money at the same rate are Rs. 1200 and Rs. 832 respectively. The principal is?


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a

Rs. 7500

b

Rs. 4000

c

Rs. 3000

d

Rs.5000 

answer is D.

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Detailed Solution

Concept- By directly replacing the values for the variables used in the solution from the given issue, we may quickly and efficiently solve the aforementioned problem using the simple interest and compound interest formulas.
C.I. for 2 years = Rs. 832
S.I. for 3 years = Rs. 1200
Every year's simple interest is the same.
So, simple interest for 2 years Question Image Rs. 800
We know that,
Question ImageQuestion ImageQuestion ImageQuestion ImageAgain, Question ImageQuestion ImageQuestion ImageQuestion ImageThus, the principal is Rs. 5000 .
Hence, the correct answer is option 4) Rs.5000
 
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