Question

Vijay Mallya invested a certain sum of money at 8% p.a. simple interest
for 'n' years. At the end of 'n' years, he got back 5 times his original
investment. Find the value of n.
62.5 years
50 years
36 years
48 years​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Vijay Mallya invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, he got back 5 times his original investment. Find the value of n.

• 62.5 years

• 50 years

• 36 years

• 48 years

EVALUATION

Let principal = Rs P

Rate of interest = R = 8%

Time = T = n years

Here it is given that at the end of 'n' years, he got back 5 times his original investment.

So amount received = Rs 5P

Interest = I = Rs ( 5P - P ) = Rs 4P

By the given condition

$\displaystyle \sf{I = \frac{PRT}{100} }$

$\displaystyle \sf{ \implies \: 4P= \frac{P \times 8 \times n}{100} }$

$\displaystyle \sf{ \implies \: 8n = 400 }$

$\displaystyle \sf{ \implies \: n = 50 }$

Hence the required number of years = 50 years

FINAL ANSWER

Hence the correct option is 50 years

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Answer 2

(A) 62.5 years

(B) 50 years

(C) 36 years

(D) 48 years

(B) is your write answer

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