Find the
difference between simple interest and compound interest on ? 2400 for 2 years at 5% per
annum compounded annually.
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..Question..
Find the difference between the Simple Interest and Compound Interest on Rs 2400 for 2 years and 5% per annum when Compounded annually.
..Answer..
Given ,
ㅤㅤㅤㅤ➪ Principle = Rs 2400
ㅤㅤㅤㅤ➪ Time = 2 years
ㅤㅤㅤㅤ➪ Rate = 5%
•°• At first
➪ S.I. = ( P × T × R ) / 100
➪ S.I. = ( 2400 × 2 × 5 ) / 100
➪ S.I. = 24 × 2 × 5
➪ S.I. = 24 × 10
➪ S.I. = 240
Now ,
➪ C.I. = P ( 1 + R/100 )^t
➪ C.I. = 2400 ( 1 + 5/100 )²
➪ C.I. = 2400 ( 1 + 1/20 )²
➪ C.I. = 2400 ( 1/1 + 1/20 )²
➪ C.I. = 2400 ( ( 20 + 1 )/20 )²
➪ C.I. = 2400 ( 21/20 )²
➪ C.I. = 2400 × 21/20 × 21/20
➪ C.I. = 24 × 21/2 × 21/2
➪ C.I. = 6 × 21 × 21
➪ C.I. = 2646
•°• C.I. - S.I.
➪ 2646 - 240
➪ 2406
•°• difference of the Compound Interest and Simple Interest is = Rs 2406
ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂
ㅤ
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