Question

If rs1200 amount to rs1740 in 5year find the sum that will amount to rs 2720in 4year at the same rate of interest per annum

Answer 1

Answer:

Required Sum is ₹ 2000.

Step-by-step explanation:

Principle = ₹ 1200

Time = 5 Yr

Amount = ₹ 1740

As, Interest , I = Amount - Principle

So, Interest , I = 1740 - 1200 = ₹ 540

We know that,

$\\ interest \: = \: \frac{ principle \times rate \times time}{100}$

Putting values in the formula below, we get;

$\\ rate \: = \: \frac{interest \: \times 100}{principle \times time}$

So, Rate = 9 %

Now,

Amount = ₹ 2720

Rate = 9 % , Time = 4 year

Let The Principle be P

So, Interest = 2720 - P

Putting the value in formula of interest we get,

2720 - P = ( P x 9 x 4 )/100

or, 100 ( 2720 - P ) = 36 P

So, P = 2000

Hence, Required Sum is ₹ 2000.

Answer 2

Given:

Principle = 1200

Time = 5years

Amount = 1740

Interest = 540

To Find:

The sum that will amount to Rs 2720 in 4 years at the same rate of interest per annum.

Solution:

Interest = (P × R × T)÷100

=> 540= (1200 × 5 × R) ÷ 100

=>R=9 percent

Now, New amount = 2720

Rate =9 percent

Time= 4 year

Let P= x

Therefore interest = 2720-x

Interest= (P × R × T)÷100

2720-x= x × 9 × 4

100 (2720-x)= 36x

X= 2000

Therefore fixed amount is Rs. 2000

The sum that will amount to Rs 2720 in 4 years at the same rate of interest per annum is Rs.2000.