Question

What sum of money will amount to Rs.2760 in 3 years at 5% per annum simple interest.

Answer 1

Answer:

Given,

A = Rs.2760

R = 5%

T = 3 years

Find,

the principal

Step-by-step explanation:

So,

Let the principal be Rs. P

Interest = Amount - Principal

= Rs.2760 - Rs.P

= Rs. (2760 - P)

Using,

I = P × R × T / 100

We get 2760 - P = P×5×3/ 100

=> 2760 - P = 3P / 20

=> 55200 - 20P = 3P

=> 55200 = 3P + 20P

=> 55200 = 23P

=> P = 55200 / 23

=> P = 2400

Hence,

the original money is Rs.2400

Answer 2

Step-by-step explanation:

SOLUTION

Given :

Amount (A) = ₹2760

Rate (r) = 5%

Time (T) = 3years

Find :

The principal.

SO :

Let the Principal (P) be x.

S.I. = Amount - Principal

=> ₹2760 - x

Using :

S.I. = P × R × T / 100

$= > 2760 - x = \frac{x \times 5 \times 3}{100}$

$= > 2760 - x = \frac{15x}{100}$

$= > 2760 = \frac{15x}{100} + x$

$= > 2760 = \frac{15x + 100x}{100}$

$= > 2760 = \frac{115x}{100}$

$= > x = 2760 \times \frac{100}{115}$

$= > x = 120 \times 20$

$= > x = 2400$

Principal (P) = ₹2400.

Hence :

The Principal is ₹2400.