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प्रश्न
Simple interest on a certain sum of money for 4 years at 4% per annum exceeds the compound interest on the same sum for 3 years at 5 per cent per annum by Rs. 228. Find the sum.
उत्तर
Let principal (P), R = 4%, T = 4 years
SI = `[ "P" xx 4 xx 4]/100 = "4P"/25`
CI = `"P"[ 1 + 5/100 ] - "P"`
= `"P"|(21/20)^3 - 1|`
= `"P"[9261/8000 - 1]`
= `1261/8000"P"`
Given: SI = CI = Rs. 228
`"4P"/25 - 1261/8000"P"`
`[ 4 xx 320"P" - 1261"P" ]/8000 = 228`
`19"P" = 228 xx 8000`
`"P" = [ 228 xx 8000 ]/19`
P = Rs. 96000
Thus, Principal = Rs. 96000
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