Statistics & Applications

Financial Math

Easy

applied

A machine costing ₹ 2,00,000 has a useful life of 6 years. The estimated scrap value is ₹ 20,000. Using straight line method, the annual depreciation is

₹ 35,000

₹ 20,000

₹ 25,000

₹ 30,000

✅ Correct Option: 4

Under the straight line method, annual depreciation equals cost minus scrap value divided by useful life: $\frac{200000-20000}{6}=\frac{180000}{6}=30000$ .

2026: 15 May Shift 1

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

2025: 3 June Shift 1

A man plans to take a housing loan of Rs 99,53,000 from a bank costing 18% per annum compounded monthly. The loan is to be paid back in 30 years in equal monthly installments (EMI). The EMI by reducing balance method is:

[Given $(1.015)^{-360} = 0.0047$ ]

2025: 14 May Shift 2

A machine costing Rs. 25000 has a useful life of 4 years. The estimated scrap value is Rs. 5000. The annual depreciation by linear method is

2025: 3 June Shift 1

Match List-I with List-II

List-I	List-II
(A) Perpetuity	(I) A person deposits a fixed amount every year in his bank account to renovate his house after 10 yrs.
(B) EMI	(II) A person depositis an amount regularly in his bank account and withdraws in case of need.
(C) Sinking Fund	(III) A fixed amount is debited from the bank account of a person, every month, against a personal loan.
(D) Saving Account	(IV) A person purchased a house and rents it out.

Choose the correct answer from the options given below:

2025: 2 June Shift 1

The effective rate per annum equivalent to a nominal rate of 8% compounded semi-annually is

2025: 22 May Shift 1

A machine costing ₹ 1,00,000 has a useful life of 5 years. The estimated scrap value is ₹ 20,000. Using straight line method the annual depreciation is

A machine costing ₹ 2,00,000 has a useful life of 6 years. The estimated scrap value is ₹ 20,000. Using straight line method, the annual depreciation is

Solution

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