CUET Mathematics: Statistics & ApplicationsFinancial Math. Free, no login required.

If the price of a machinery costing ₹ 25000 is expected to have a useful life of 4 years and a scrap value of ₹ 5000. Then the annual depreciation by linear method is:

Mr. 'X' wishes to purchase a house for ₹ 49,65,000 with a down payment of ₹ 15,00,000 and balance amount in EMI for 25 years. If bank charges 6% per annum compounded monthly. Then the EMI is: [Given that $(1.005)^{300} = 4.4650]$

If the money is worth 8% per annum compounded semi-annually, then the present value of a sequence of payments of ₹1,000 made at the end of every 6 months and continuing forever, is:

A person invested ₹ 20000 in a mutual fund in year 2018. The value of the mutual fund increased to ₹ 32000 in year 2023. The compound annual growth rate of his investment is:

[Given that $(1.6)^{1/5} = 1.098]$

For which one of the following purposes is CAGR (Compounded Annual Growth Rate) not used ?

A flower vase costs ₹ $36,000$. With an annual depreciation of ₹ $2,000$, its cost will be ₹ $6,000$ in _____ years.

Ms. Sheela creates a fund of ₹ $1,00,000$ for providing scholarships to needy children. The scholarship is provided in the beginning of the year. This fund earns an interest of $r \%$ per annum. If the scholarship amount is taken as ₹ $8,000$, then $r=$

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

For an investment, if the nominal rate of interest is $10 \%$ compounded half yearly, then the effective rate of interest is :