Question

solve it please .................​

Answer 1

The number of years is 9 years.

Step-by-step explanation:

The number of year is 9 years.

Given

Principal ( P ) = Rs. 2,40,000

Rate ( r ) = 12%

Number of years ( n ) = ?

Simple Interest ( S . I ) =\frac{ (P * r * t )}{100}

100

(P∗r∗t)

Before 1 year, the simple interest is :

S . I =\frac{ (P * r * t )}{100}

100

(P∗r∗t)

= \frac{2,40,000 * 12 *n}{100}

100

2,40,000∗12∗n

Amount = Principal + Simple Interest

Amount = 2,40,000 + (\frac{2,40,000*12*n}{100} )2,40,000+(

100

2,40,000∗12∗n

) -----> ( 1 )

After 1 year, the amount is :

Amount = 5,200 × 12 × ( n - 1 ) -----> ( 2 )

Now, equate equation ( 1 ) and equation ( 2 ),

2,40,000 + (\frac{2,40,000*12*n}{100} )2,40,000+(

100

2,40,000∗12∗n

) = 5,200 × 12 × ( n - 1 )

2,40,000 + ( 2400 × 12 × n ) = 5,200 × 12 × ( n - 1 )

Divide the above equation by 100, it gives

2400 + 24 × 12 × n = 52 × 12 × ( n - 1 )

Divide the above equation by 12, it gives

200 + 24 × n = 52 × ( n - 1 )

200 + 24 × n = 52n - 52

200 + 52 = 52n - 24n

252 = 28 n

n = 252 / 28

= 9

Therefore, the number of years is 9 years.