Statistics & Applications

Financial Math

Easy

applied

Mr. Vishnu has an initial investment of Rs.80,000 in an investment plan. After 3 years, it has grown to Rs.1,00,000, then his rate of return is

30%

25%

20%

10%

✅ Correct Option: 2

Mr. Vishnu invested Rs. 80,000 initially, and after 3 years it grew to Rs. 1,00,000. The rate of return is the total percentage increase over these 3 years.

Initial Investment = Rs. 80,000

Final Amount = Rs. 1,00,000

Profit = Final Amount - Initial Investment

Profit = 1,00,000 - 80,000

Profit = Rs. 20,000

Rate of Return = $\dfrac{\text{Profit}}{\text{Initial Investment}} \times 100$

Rate of Return = $\dfrac{20,000}{80,000} \times 100$

Rate of Return = $\dfrac{20}{80} \times 100$

Rate of Return = $\dfrac{1}{4} \times 100$

Rate of Return = $25\%$

Therefore, the rate of return is $25\%$ .

2026: 22 May Shift 2

Mohan wishes to purchase a house for ₹10,000,000 with a down payment of ₹20,00,00.00. If he pays the balance amount in 25 years by equal monthly instalment at 9% compounded monthly, then the total interest paid by Mohan is:

[Use $(1.0075)^{300} = 9.4084$ ]

2026: 30 May Shift 1

Match the LIST-I with LIST-II

LIST-I (Financial data)	LIST-II (Nominal rate of return)
A. Original investment value = ₹3,50,000; Current market value of investment = ₹4,37,500	I. 66.66%
B. Original investment value = ₹2,50,000; Current market value of investment = ₹3,25,000	II. 33.33%
C. Original investment value = ₹3,00,000; Current market value of investment = ₹4,00,000	III. 30%
D. Original investment value = ₹3,00,000; Current market value of investment = ₹5,00,000	IV. 25%

Choose the correct answer from the options given below:

2025: 14 May Shift 2

The present value of a sequence of payments of Rs. 2000 made at the end of every 6 months and continuing forever, if money is worth 8% per annum compounded semi-annually, is:

2025: 13 May Shift 1

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 $(1.005)^{300} = 4.4650]$

2026: 31 May Shift 2

In 2001, a vehicle was purchased for ₹ 2 Lakh. In 2011, the scrap value of the vehicle became ₹ 50,000. What was the annual depreciation?

2025: 16 May Shift 1

Shyam invested ₹ 2,00,000 in 2019 for 5 years. If the compound annual growth rate (CAGR) for his investment is 10 %, then the end balance of his investment is:

Mr. Vishnu has an initial investment of Rs.80,000 in an investment plan. After 3 years, it has grown to Rs.1,00,000, then his rate of return is

Solution

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