9. Tulsi 4 years ago from the bank Rs. 6000 was taken as a loan. If he collects Rs. Tulashi had borrowed a loan of Rs 6000 from a bank 4 years ago. If she had paid total amount of Rs 9000 and got rid of the loan, (a) Express R in terms of I, P and T, where the symbols have their own common meanings. Write R terms of I, P and T, where the symbols have their usual meanings. (b) Find the simple interest. (Find the simple interest.). (c) What is the interest rate? (What was the rate of interest?)' [1K] [10] [2A] (d) In how many years will interest and interest be equal? (In how many years the principal and interest are to be equal?) [2HA] 1x 100​

(a) R = P + I, where R is the total amount repaid (Rs. 9000), P is the principal amount borrowed (Rs. 6000), and I is the interest.

(b) Simple Interest (I) = R - P
Simple Interest (I) = Rs. 9000 - Rs. 6000 = Rs. 3000

(c) Rate of Interest = (Simple Interest / Principal) x 100
Rate of Interest = (3000 / 6000) x 100
Rate of Interest = 0.5 x 100 = 50%

(d) In how many years will Principal and Interest be equal?
Let x be the number of years.
6000 + 3000 = 6000 (1 + 0.5x)
9000 = 6000 + 3000x
3000 = 3000x
x = 1 year

Therefore, the principal and interest will be equal after 1 year.