Statistics & Applications

Financial Math

Medium

applied

Mrs Rathna invested Rs 2 lakh in an enterprise for 5 years. Her compound annual growth rate (CAGR) turned out to be 20.5%. The end balance would be: (given $(1.205)^5=2.54)$

Rs. 5.08 lakh

Rs. 4 lakh

Rs. 2.41 lakh

Rs.22.05 lakh

✅ Correct Option: 1

Mrs. Rathna invested Rs 2 lakh in an enterprise for 5 years with a CAGR of 20.5%.

Given: $(1.205)^5 = 2.54$

The compound growth formula is:

End Balance $= P \times (1 + r)^n$

Where:

$P = 2$ lakh (principal)

$r = 0.205$ (growth rate)

$n = 5$ years

Since the problem states the investment is for 5 years and provides $(1.205)^5 = 2.54$ ,

End Balance $= 2 \times (1.205)^5$

End Balance $= 2 \times 2.54$

End Balance $= 5.08$ lakh

Therefore, the end balance is Rs. 5.08 lakh.

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LIST-I		LIST-II
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B. Total interest on the principal		II. ₹26,40,000
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(B) Supply function	(II) v
(C) Demand function	(III) s
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Match the LIST-I with LIST-II

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Choose the correct answer from the options given below:

Mrs Rathna invested Rs 2 lakh in an enterprise for 5 years. Her compound annual growth rate (CAGR) turned out to be 20.5%. The end balance would be: (given (1.205)5=2.54)(1.205)^5=2.54)(1.205)5=2.54)

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

Mrs Rathna invested Rs 2 lakh in an enterprise for 5 years. Her compound annual growth rate (CAGR) turned out to be 20.5%. The end balance would be: (given $(1.205)^5=2.54)$