find the difference between simple intrest and compound intrest on 30000 for 3 years at 10% per annum when the intrest is componded annually
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answer is.9000 for muldhan ×samay×dar/100
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Solution
Given :-
- P = 30,000
- R = 10%
- T = 3 Years
Find :-
- the difference between simple intrest and compound intrest .
Explanation
Using Formula
★ S.I. = ( P × R × T)/100
★C.I. = p( 1 + R/100)^T - P
First Calculate S.I.
==> S.I. = 30,000 × 10 × 3/100
==> S.I. = 300 × 10 = 3
==> S.I. = 9000
Again, Calculate C.I.
==> C.I. = 30,000(1 + 10/100)³ - 30,000
==> C.I. = 30,000( 1 + 1/10)³ - 30,000
==> C.I. = 30,000[(10+1)/10]³ -30,000
==> C.I. = 30,000( 11/10)³ - 30,000
==> C.I. = 30,000 × 11/10 × 11/10 × 11/10 - 30,000
==> C.I. = 30 × 11 × 11 × 11 - 30,000
==> C.I. = 39,930 - 30,000
==> C.I. = 9,930
Now, calculate Difference between C.I. & S.I.
= C.I. - S.I.
= 9,930 - 9,000
= 930
Hence
- Difference between C.I. & S.I. will be =Rs. 930
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