Question

find the principal that will amount to 13000 in two and half years at 12% per annum

Answer 1

Answer:

The principal is Rs. 10000

Step-by-step explanation:

Let the principal is P, time of investment is t, rate of interest is r% and interest is I. Then the amount after t years be

P + I = P + (Ptr/100) ..... (1)

According to the question,

P + I = Rs. 13000,

t = 2.5 years

r = 12%

From (1), we get

13000 = P + (P * 2.5 * 12 / 100)

or, P (1 + 30/100) = 13000

or, P * 130 / 100 = 13000

or, P = 13000 * 100 / 130

or, P = 10000

Therefore the principal is Rs. 10000

Answer 2

Answer:

therefore the principal is 10000