krishna deposited rs 60000 at the rate of 8% in saving account. after 5 yrs he withdrew rs 40000 and total interest of 5 yrs.how long should he keep the remaining amount to get total interest rs 28000 from the beginning...

Respuesta :

Answer:

22.5 years

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=5\ years\\ P=Rs\ 60,000\\r=8\%=8/100=0.08[/tex]

substitute in the formula above

[tex]I=60,000(0.08*5)[/tex]

[tex]I=Rs\ 24,000[/tex]

Remember that

Krishna withdrew Rs 40000 and total interest

The remaining amount is

[tex]60,000+24,000-40,000-24,000=Rs\ 20,000[/tex]

Now

we have

[tex]t=?\ years\\ P=Rs\ 20,000\\I=\$28,000\\r=8\%=8/100=0.08[/tex]

substitute

[tex]28,000=20,000(0.08t)[/tex]

solve for t

[tex](0.08t)=28,000/20,000[/tex]

[tex](0.08t)=1.4[/tex]

[tex]t=17.5\ years[/tex]

From the beginning adds 5 years

[tex]17,5+5=22.5 \ years[/tex]

The time  should he keep the remaining amount to get total interest will be 3 years.

How much does 1,000 reais per month in savings?

To calculate how much we earn a thousand reais in the economy, we have to consider a return of 0.5%. With this rate, if you invest a thousand reais in savings, you will have about R$ 61.70 in a year. Currently, one thousand reais in savings yields R$5 per month.

So in this case, we have the information that:

  • deposited rs 60000
  • rate of 8% in saving account
  • fter 5 yrs he withdrew rs 40000

The simple interest formula is equal to:

[tex]I=P(tr)[/tex]

where:

  • I is the Final Interest Value
  • P is the Principal amount of money to be invested
  • r is the rate of interest  
  • t is Number of Time Periods

Making the percentage for the years:

[tex]\frac{6000*8*8}{100}=24000[/tex]

remaing internest, that can be find as:

[tex]28800-24000=4800[/tex]

if Si is the value above, that can be put in the formula:

[tex]si=p*t*r/100\\4800=2000*8*t/100=3years[/tex]

See more about finances at brainly.com/question/13607099

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