the difference between simple interest and compound interest for a certain sum of money at 8% p.a. for one upon half years when interest is compound half year is rupees 228 find the sum
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Answer:
Ur ans is Rs 46875
Step-by-step explanation:
Compound Interest on P at 8% for one and half years, when interest is compounded half-yearly
=P(1+R/[2*100])^3-P
=P(1+8/200)^3-P
=P(1+1/25)^3-P
=P(26/25)^3-P
Simple Interest on P at 8% for 3/2 years = PRT/ 100
=Px8×3/2*100=3P/25
Given that difference between compound
interest and simple interest=Rs.228
[P*(26/25)^3-P]-[3P/25]=228
=>P[(26/25)^3-1]-[3P/25]=228
P [17576/15625-1]-[3P/25]=228
P[(17576-15625)/15625]-[3P/25]=228 P[(1951)/ 15625]-[3P/25]=228
P[(1951-1875)/15625]=228
P=[76/15625] 228
P=228 *15625/76
P= Rs 46875 ANS
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