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In how many years will the simple interest on a sum of money be equal to the principle at rate of 122412\frac{2}{4}% p.a ?

A8 years

B5 years

C7 years

D6 years

Answer:

A. 8 years

Read Explanation:

Solution:

Given:

Rate =122412\frac{2}{4}% = 504\frac{50}{4}%

Formula:

SI=PRN100SI =\frac{PRN}{100}

Calculation:

Let principal be Rs. x, then

SI = Rs. x

According to the question

x=(x×50×N)(100×4)x = \frac{(x\times{50}\times{N})}{(100\times{4})}

⇒ N = 8 years 

∴ In 8 years will the simple interest be equal to the principal.


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