Question

simple interest on a certain sum for 5 years at 8% per annum is 200 less than the simple interest on the same sum for 3 years and 4 month at 18 % per annum find the sum​

Answer 1

Answer:

As we know,

$Simple \: Interest \: = \frac{p \times r \times t}{100}$

p is the principal or sum, r is the rate of interest and t is the time.

According to the question,

Case I,

Given rate of interest =8%

Time = 5years

Principal = p

Case II,

Given rate of interest =18%

Time = 4 months =1/3years

Principal = p

The value of sum or principal is equal in both of the case I and II.

Therefore,

$\frac{p \times 8 \times 5}{100} - \frac{p \times 18 \times \frac{1}{3} }{100} = 200$

$\frac{40p - 6p}{100} = 200$

$\frac{34p}{100} = 200$

$p \: = \frac{200 \times 100}{34} = 588.24(approx)$

Hence the sum is 588.24 rupees.