Question

102) For how many months should Girish invest Rs. 8000 to get the same profit 2 Raju who invested Rs. 9000 for 8 months ? (B) 9 (C) 11 (A) 8 (D) 10



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Answer 1

Girish will have to invest Rs. 8000 for 9 months to get the same interest as Raju.

Step-by-step explanation:

First, we have to calculate the rate of interest for Raju.

We use the formula:

$Simple\ Interest = \frac{Principal\ *\ Rate\ *\ Time}{100}$

Given: For Raju

Principal: Rs. 9000

Time = 8 months = $\frac{8}{12}\ years$

Substituting:

$Simple\ Interest = \frac{9000\ *\ Rate\ *\ 8}{12* 100}$

Simple Interest earned by Girish = Raju, then we substitute the value of simple interest earned by Raju to calculate the time for which Girish should invest the money.

Given: For Girish

Principal = Rs. 8000

Substituting

$\frac{9000\ *\ Rate\ *\ 8}{12* 100} = \frac{8000\ *\ Rate\ *\ Time}{ 100}$

Reducing:

[tex]Time = \frac{9000*8}{8000 * 12}\\\\ Time = 0.75 years\\ Time\ in\ months = 0.75 * 12\\ Time = 9 months[/tex]