2. How long must a P40,000 note bearing 4% simple interest run to amount to P41,350.00.
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Answers
Answer:
Interest 51,200 - 40,000= 11,200
Time = (I x100)/(P x R)
=
(11,200 x 100)/40000 x 12
= 7/3 or 2 years and 4 months
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Related questions (More answers below)
Given: Principal(P)= Rs. 40,000
Rate of Interest(R)= 4%
Amount(A)= Rs. 41,350
To find Time taken(T)
Solution: The amount of money that is initially borrowed or invested in a bank is termed the Principal(P). When the principal amount is provided to someone at a certain rate on a certain interval of time, that is referred to as Rate of Interest(R).
We know that Amount(A)= Simple Interest(S.I.)+Principal(P)
⇒ Simple Interest(S.I.)= Amount(A)- Principal(P)
⇒ Simple Interest(S.I.)=Rs.(41350- 40000)
= Rs. 1350
Now S.I. = (P×T×R)/100
⇒ T=(S.I×100)/(P×R)
⇒ T=(1350×100)/(40000×4) years
⇒ T=(135×1)/(40×4) years
⇒ T=135/160 years
⇒ T= (135×12)/160 months [∵ 1year= 12 months]
⇒ T=1620/160 months
⇒ T= 81/8 months
⇒ T= 10(1/8) months
Hence the time taken is 10(1/8) months.