Question

A certain sum of money amount to Rs 1052 in 3.5 years and Rs
1160 in 5 years .find the rate of interest and sum

Answer 1

Given:

A certain sum of money amount to Rs 1052 in 3.5 years

Rs 1160 in 5 years.

To Find:

The rate of interest and sum of money.

Solution:

1) This is the condition of the simple interest which formula is given as:

S.I. = PRT/100

2)The rate of interest is given by:

the amt increased in 1.5 years = 1160-1052

                                                  = 108

• 1.5 years---------------₹108

• 1 year--------------------₹108/1.5 = ₹72

• 5 years-----------------₹360.

So the principal is 1160 - 360 = ₹800

3) Rs 1160 in 5 years

• S.I. = PRT/100

• 360 = 800×R×5/100

• R = 9%

The rate of interest and sum is 9% and ₹800 respectively.

Answer 2

Answer:

The interest rate and amount are 9% and ₹ 800 each.

Step-by-step explanation:

Granted:

A certain amount of money will be Rs 1,052 in 3.5 years

Rs 1160 for 5 years.

Search:

Interest rate and amount of money.

Solution:

1) This is a simple interest condition in which the formula is as follows:

S.I. = PRT / 100

2) Interest is given:

the office increased by 1.5 years = 1160-1052= 108

1.5 years ⇒₹ 108

1 year ⇒108 / 1.5 = 72

5 years ⇒360.

So the main character is 1160 - 360 = 800 ₹

3) 1160 Rs for 5 years

S.I. = PRT / 100

360 = 800 × R × 5/100

R = 9%

The interest rate and amount are 9% and ₹ 800 each.

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