10) At what rate percent will 2000 amount to 52315.25 in 3 years at compound
interest?
11. If 40000 amounts to 46305 in( pictures we have given this one number )
the rate of interest per annum.
years, compound interest payable half yearly, find
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some difference from ur question
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Given :-
- Principal = Rs.40000
- Amount = Rs.46305
- Time = (3/2) years.
- Rate = compounded half yearly .
To Find :-
- The rate of interest per annum. ?
Solution :-
we know that, when interest is compounded half yearly ,
- Rate becomes half .
- Time becomes double.
so,
- Time = (3/2) * 2 = 3 years.
- Rate = Let half yearly is R% .
then,
→ P[1 + (R/100)]^T = A
→ 40000[1 + (R/100)]³ = 46305
→ [1 + (R/100)]³ = 46305/40000
→ [1 + (R/100)]³ = 9261/8000
→ [1 + (R/100)]³ = (21/20)³
cube root both sides,
→ 1 + (R/100) = (21/20)
→ (R/100) = (21/20) - 1
→ (R/100) = (21 - 20)/20
→ (R/100) = (1/20)
→ R = 5% .
therefore,
→ The rate of interest per annum = 5 * 2 = 10% (Ans.)
Learn more :-
CI in 2yr is Rs. 1600 and in 3 yrs it will be Rs. 1700. Find the rate of interest.
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