Math, asked by sumitasam2882, 5 days ago

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​

Answers

Answered by manikandanmanik07
6

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

Mark me brainliest

Answered by itzmecutejennei
2

Step-by-step explanation:

refer to the given attachment

hope it helps

Attachments:
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