Statistics & Applications

Financial Math

Easy

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Ajesh purchased a printer ₹ 15,000. The printer is estimated to have a scrap value of ₹ 3,000 after a span of 6 years. Then the book value of the printer at the end of 3 years will be:-

₹ 2,000

₹ 4,000

₹ 9,000

₹ 11,000

✅ Correct Option: 3

The printer is purchased for ₹ 15,000 and will have a scrap value of ₹ 3,000 after 6 years.

Total depreciation over 6 years:

$= 15,000 - 3,000$

$= 12,000$

Using straight-line depreciation method, the depreciation per year:

$= \dfrac{12,000}{6}$

$= 2,000$ per year

Depreciation for 3 years:

$= 2,000 \times 3$

$= 6,000$

Book value after 3 years:

$= 15,000 - 6,000$

$= 9,000$

Therefore, the book value of the printer at the end of 3 years is ₹ 9,000.

2025: 15 May Shift 2

A T.V. panel costing Rs 18000 has a useful life of 12 years. If the annual depreciation is Rs 1000, then its scrap value by linear method is:

2026: 19 May Shift 2

A person has invested ₹ 20,000 in hundred-rupees bond and redeemable at the end of 10 years at 110, and paying annual dividends at 4%. The yield rate is to be 5% effective. Then which of the following statements are TRUE?

A. The annual dividend is ₹ 800.

B. The annual dividend is ₹ 1200.

C. Redemption price is ₹ 22000.

D. Redemption price is ₹ 20000.

Choose the correct answer from the options given below:

2026: 31 May Shift 2

The present value of a perpetuity of ₹ 900 payable at the end of each year, if money is worth 6 % per annum, is:

2025: 15 May Shift 2

Mr. X wishes to purchase a flat for Rs. 44,60,800 with a down payment of Rs 10,00,000 and balance in equal monthly installments (EMI) for 20 years. If bank charges 7.5% per annum compounded monthly, then the EMI is:

[Given that $(1.00625)^{240} \approx 4.4608$ ]

2026: 22 May Shift 1

Jyotsna buys a car for which she makes a down payment of ₹3,50,000 and the balance is to be paid in 3 years by monthly installments of ₹34,000 each. If the financer charges interest at the rate of 12% per annum and uses flat rate method, then the original price of the car is :

2026: 12 May Shift 2

Identify the formula used for List I from List II

Match List-I with List-II

List-I	List-II
(A) Present value of perpetuity payable at the end of each payment period	(I) $R+\dfrac{R}{i}$ (₹R payable at the beginning of each payment period, $i$ = interest per rupee per payment period)
(B) Present value of perpetuity payable at the beginning of each payment period	(II) $\left(\dfrac{V_n}{V_0}\right)^{1/n}-1$ , $V_n$ = Final value of investment, $V_0$ = Beginning value of the investment, $n$ = number of years
(C) Computation of CAGR	(III) $\dfrac{C-s}{n}$ , $C$ = Original cost, $s$ = Scrap value, $n$ = number of years
(D) Annual Depreciation	(IV) $\dfrac{R}{i}$ (₹R payable at the end of each period, $i$ = interest per rupee per payment period)

Choose the correct answer from the options given below:

Ajesh purchased a printer ₹ 15,000. The printer is estimated to have a scrap value of ₹ 3,000 after a span of 6 years. Then the book value of the printer at the end of 3 years will be:-

Solution

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