Question

Divide ₹4500 into two parts so that the simple interest on the first when deposited for one year at 9% per anum and that on the second when deposited for 3 years at 15% per annum in a bank are the same.

help!​

Answer 1

Answer:

Hence, the two parts = ₹3461.53 and ₹1038.47 Ans.

Step-by-step explanation:

Let the first part be ₹ x.

Then, second part = ₹(4500-x)

I Part:

Principle = ₹ x,

Rate of interest = 9% per annum and

Time = 2 years.

$.°. \: SI = ₹ \ ( \frac{x \times 9 \times 1}{100} )$

$= ₹ \frac{9x}{100}$

II Part:

Principle = (4500-x),

Rate of interest = 15% per annum and

Time = 2 years.

$.°. \: \: SI = ₹ \frac{(4500 - x) \times 15 \times 2}{100}$

According to the condition,

$\frac{9x}{100} = \frac{(4500 - x) \times 15 \times 2}{100}$

$\longrightarrow9x = (4500 - x) \times 15 \times 2$

$\longrightarrow3x = (4500 - x) \times 5 \times 2$

$\longrightarrow3x = 45000 - 10x$

$\longrightarrow13x = 45000$

$\longrightarrow \: x = \frac{45000}{13}$

$\longrightarrow \: x = 3461.53$

.°. First part = ₹3461.53

Second part = ₹(4500-3461.53)

= ₹1038.47

Hence, the two parts = ₹3461.53 and ₹1038.47 Ans.