An amount deposited at 5% simple interest becomes Rs. 1512 in 4 years. How much the same amount will become in \(2{1\over2}\) years at 10% simple interest per annum?

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UGC NET Paper 1: Held on 12th Mar 2023 Shift 2
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  1. Rs. 1,475
  2. Rs. 1,575
  3. Rs. 1,675
  4. Rs. 1,875

Answer (Detailed Solution Below)

Option 2 : Rs. 1,575
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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Formula used:

Interest = (Principal × Rate × Time)/100

Calculation:

Principal = Total Amount/(1 + Rate × Time)

Principal = 1512/(1 + 0.05 × 4)
Principal = Rs. 1260

Now, we can find out how much this amount will become in

2.5 years at an annual interest rate of 10%:

Total Amount = Principal × (1 + Rate × Time)

Total Amount = 1260 × (1 + 0.10 * 2.5)

Total Amount = Rs. 1575

Therefore, the same amount will become Rs. 1575 in 2.5

years at a 10% simple interest rate per annum.

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