In what time does a sum becomes 5 times at the simple interest at the rate of 5% per annum?

In a certain time a sum becomes 4 times as the rate of 5% per annum. At what rate of simple interest the same sum becomes 8 times in the same duration?

A. 12 2\3%

B. 11 3\5%

C. 11 2\3%

D. 12 3\5%

Solution(By Examveda Team)

Let 100 was the Sum.

Amount = 400.

Interest = 300.

R = 5%.

Time = T (Let).

Interest = PTR/100 = (100 *T *5)/100.

500T /100 = 300

5T = 300

T = 60 years.

Now for second case,

Let rate = r.

Time = 60 years.

Amount = 800.

Interest = 700.

Now,

I = PTr/100

700 = 100*60 *r/100

60r = 700

r = 70/6 = 11.66%.
 

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A sum of money becomes 8 / 5 of itself in 5 years at a certain rate of simple interest .find the rate of interest.

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Given: Time, T=5 yearsLet the principal be P (adsbygoogle = window.adsbygoogle || []).push({}); Rate of interest =R Amount, A=8P5Simple Interest, S.I= Amount − Principal =8P5−P=3P5 ∴S.I=3P5 Again, S.I=P×R×T100⇒3P5=P×R×5100⇒35=5R100⇒35=R20⇒R=3×205⇒R=3×4∴R=12. The required rate of interest is 12%. (adsbygoogle = window.adsbygoogle || []).push({});

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