A charity organization has a fund of Rs.2,00000 to provide annual grants to students. The grant amount each year is Rs.15,000. The fund earns an interest rate of r% per annum. If the interest earned is used entirely to provide the grants, then the annual interest rate r is:

A money-lender charges interest at the rate of 10 rupees per 110 rupees semi-annually, payable in advance. Then

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Which of the following are true about sinking fund?

(A) Sinking fund is a fixed term account.

(B) A fixed amount is deposited at pre defined regular intervals.

(C) Sinking fund can be used in any emergency.

(D) It is setup for a particular upcoming expense.

Choose the correct answer from the options given below:

Ram takes a personal loan of ₹ 10,00,000 at the rate of 12% per annum for 5 years. By using a flat rate method, EMI is

The present value of a perpetuity of ₹x at the end of every 6 months is ₹4,00,000. If money is worth 6% per annum compounded semi-annually, what is value of x ?

The average cost function for a commodity is given by $AC = 0.05x^2 - 5x + 1000 + \frac{3000}{x}$ in terms of output x. The fixed cost is

A Multinational company creates a sinking fund by setting a sum of ₹ $12,000$ annually for $10$ years to pay off a bond issue of ₹ $72,000$. If the fund accumulates at $5 \%$ per annum compound interest, then the surplus after paying for bond is :

(Use $\left.(1.05)^{10} \approx 1.6\right)$