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in Simple Interest by (46.2k points)
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If the simple interest for 6 years be equal to 30% of the principal, it will be equal to the principal after 

(a) 10 years 

(b) 20 years 

(c) 22 years 

(d) 30 years

1 Answer

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Best answer

(b) 20 years.

Let the principal = Rs x and rate of interest = R% p.a. 

Then, S.I. = 30% of Rs x = \(\frac{30}{100}\times x\)

∴ \(\frac{x\times{R}\times6}{100} = \) \(\frac{30}{100}\times x\)

⇒ R = \(\frac{30}{6}=\) 5 % p.a.

Let the time in which the principal is equal to simple interest be t years, then

\(\frac{x\times{5}\times{t}}{100} = x\) ⇒ t = \(\frac{100}{5}years\) = 20 years.

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