Question

Simple interest on a certain sum of money at the rate of 10% per annum for 6 years and 7 years differs by ₹650 .What is the sum?​

Answer 1

Answer:

In first case :

R = 10% per annum

T= 6 years

P = ?

$si = \frac{p \times r \times t}{100}$

$\: \: \ \: \: = \frac{p \times 1 0\times 6}{100}$

$\: \: \: \: = \frac{3p}{5}$

In second case :

R = 10% per annum

T = 7 years

P = ?

$si = \frac{p \times r \times t}{100}$

$\: \: \: \: \: = \frac{p \times 10 \times 7}{100}$

$\: \: \: \: \: = \frac{7p}{10}$

$\frac{3p \times 2}{5 \times 2} = \frac{6p}{10} \: a nd \: \frac{7p \times 1}{10 \times 1} = \frac{7p}{10}$

We can see that SI in second case is greater than SI in first case.

Atq,

$\: \: \: \: \: \: \: \: \frac{7p}{10} - \frac{6p}{10} = 650$

$= > \frac{7p - 6p}{10} = 650$

$= > \frac{p}{10} = 650$

$= > p = 10 \times 650$

$= > p = 6500$

Hence, Sum = Rs 6,500

Answer 2

Answer:

yes

Step-by-step explanation:

given

Simple interest on a certain sum of money at the rate of 10% per annum for 6 years and 7 years differs by ₹650 .

Sum = Rs 6,500