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प्रश्न
Find the difference between compound interest and simple interest on Rs.12,000 and in `1 1/2` years at 10% compounded yearly.
उत्तर
Given: P = Rs. 12,000; n = `1 1/2` years and r = 10%
S.I. = `[ P xx R xx T ]/100 = [ 12,000 xx 10 xx 3/2 ]/100 = Rs. 1,800`
To Calculate C.I. annually
P = Rs. 12,000; n = 1 year and r = 10%
A = `"P"( 1 + r/100)^n (1 + r/200)^(1/2xx2)`
= `12,000( 1 + 10/100 ) (1 + 10/200)`
= `12000 xx 11/10 xx 21/20`
= 660 × 21
= Rs. 13,860`
C.I = 13860 - 12000
= 1860
So Difference between C.I and C.I
C.I - S.I
= 1860 - 1800
₹60
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