Question

✔If the answer will correct then sure I will you Brainliest✔

Pallavi deposited1 Rs. 46,875 in a bank. In how many years will this sum yield a compound interest of Rs. 5,853 at the rate of 8% per annum compounded semi-annually.

Answer have to 1 And Half Year.

But I don't know how to do it. So plzz give me the solution of this with step by step explaination.

And answer have to be correct.
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Answer 1

Answer:

Principal :- Rs. 46875

Compound interest :- Rs. 5853

Interest rate :- 8%

_______________

Total amount = 46875 + 5853 = Rs 52728

_______________

To find the years needed :

➡️ A = p(1 +r/100)^t

➡️ 52728 = 46875( 1 + 8/100)^t

➡️ 1.08 t = 52728 ÷ 46875

➡️ 1.08 t = 1.125

➡️ t log 1.08 = log 1.125

➡️ n = log 1.125 / log 1.08

➡️ n = 1.53 years 

Answer 2

Answer:

Step-by-step explanation:

Principal = Rs 46875

Interest = Rs 5853

Interest rate = 8%

Find the total of the principal and Interest amount:

Total Amount = 46875 + 5853 = Rs 52728

Find the number of years needed:

A = P(1 + r/100)ⁿ

52728 = 46875 ( 1 + 8/100)ⁿ

1.08ⁿ = 52728 ÷ 46875

1.08ⁿ = 1.125

n log 1.08 = log 1.125

n = log 1.125 / log 1.08

n ≈ 1.53 years