## if simple interest and compound interest of a certain of money for two years are RS.8400 and RS.8652 , then find the sum of money and the ra

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if simple interest and compound interest of a certain of money for two years are RS.8400 and RS.8652 , then find the sum of money and the rate of interest​

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1 month 2021-08-16T11:11:57+00:00 2 Answers 0 views 0

1. • Simple interest and compound interest of a certain sum of money for two years are Rs. 8400 and Rs. 8652. • Sum of money and rate of interest?    ### Where,

• P = Principal (sum of money)
• R = Rate of interest
• T = Time
• S.I = Simple interest
• C.I = Compound interest

• Let sum of money be P
• And rate of interest be R        ### Now,   • Using identity, (a + b)² = a²+b² + 2ab on (1 + 0.01R)² ::    • Putting value of PR from (1) ::      Therefore, Rate of interest is 6 % per annum.

• Putting value of R in (1) ::   • Therefore, sum of money is Rs. 70,000.

to find the sum of simple interest = p×100/t×r

so 8400×100/2 = 16,800

so the simple interest sums = 16,800

then rate = i×100/p×t

8400×100/16800×2 = 50/2

25%

so the rate of interest is 25%

and now compound interest = 16,800

+ interest

16,800+8652

25452

so the compound interest sums = 25,452