Geetansh invested ₹27,000 and it grows to ₹81,000 in 2 years. The CAGR % will be: Option 1: 23.7% Option 2: 41% Option 3: 73.2% Option 4: 20%

Answer: 73.2%. Solution: CAGR = (81000/27000)^(1/2) - 1 = 3 - 1 0.732. As a percentage this is about 73.2%.

Statistics & Applications

Financial Math

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Geetansh invested ₹27,000 and it grows to ₹81,000 in 2 years. The CAGR % will be:

23.7%

41%

73.2%

20%

✅ Correct Option: 3

CAGR $= \left(\dfrac{81000}{27000}\right)^{1/2} - 1 = \sqrt3 - 1 \approx 0.732$ .

As a percentage this is about $73.2\%$ .

2025: 2 June Shift 1

A machine costing Rs 50,000 has a useful life of 4 years.The estimated scrap value is Rs 10,000 . The rate of depreciation per annum is:

2026: 21 May Shift 1

For the nominal rate of 18 % p.a.

[given that : $(1.09)^2 = 1.1881, (1.045)^4 = 1.1925, (1.015)^{12} = 1.1956$ ]

Match List-I with List-II

List-I	List-II
Nominal rate Compounded	Effective rate
(A) Annually	(I) 18.81%
(B) Semi-annually	(II) 19.56%
(C) Quarterly	(III) 18%
(D) Monthly	(IV) 19.25%

Choose the correct answer from the options given below:

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:

2024: 16 May Shift 1

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

2026: 30 May Shift 1

Amayra takes a loan of ₹5,00,000 at an interest of 10% per annum for a period of three years. The equated monthly installment (EMI) by using flat rate method, she has to pay is:

2025: 27 May Shift 1

Rs. 2,50,000 cash is equivalent to a perpetuity of Rs.7500 payable at the end of each quarter. Then the rate of interest is

Geetansh invested ₹27,000 and it grows to ₹81,000 in 2 years. The CAGR % will be:

Solution

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