Question

Pratap borrowed a sum of money from Arun at simple interest, at the rate of 12% per annum for the first three years, 16% per annum for the next five years and 20% per annum for a period beyond eight years at the end of 11 years, the total interest is 6080 rupees more than the sum, what was the sum borrowed ?​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

Let the initial cost price of the article be 100 rupees.

Profit = 20%

S.P. of the 1st dealer

$= \frac{100 \times 120 }{100} = 120 \: rupees$

Let the second profit % = x. Then,

S.P. of the 2nd dealer

$= \frac{120 \times (100 + x)}{100}$

Final S.P. of the article after passing through two hands at a profit = 38%

$= \frac{100 \times (100 + 38}{100} = 138$

Given,

$\frac{120 \times (100 + 38)}{100} = 138$

$= > 12000 + 120x = 13800$

$= > 120x = 1800 \\ = > x = 15\%$

So, if the dealer makes a profit of 20%, then the profit per cent made by the second is 15%.