Mathematics for FinancePYQ May 20Question 1301 of 512
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A=5,200,R=5%\displaystyle A = 5,200, R = 5\% p.a., T=6\displaystyle T = 6 years, P\displaystyle P will be

Options

A2,000\displaystyle 2,000
B3,880\displaystyle 3,880
C3,000\displaystyle 3,000
Dnone of these
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Correct Answer

✅ Option d — none of these

All Options:

  • A2,000\displaystyle 2,000
  • B3,880\displaystyle 3,880
  • C3,000\displaystyle 3,000
  • Dnone of these

Detailed Solution & Explanation

**Derivation of Principal Amount** Given: - Future Value (A\displaystyle A) = Rs. 5,200\displaystyle \text{Rs. }5,200 - Simple Interest Rate (R\displaystyle R) = 5%\displaystyle 5\% per annum - Time (T\displaystyle T) = 6\displaystyle 6 years **Step 1: Set up the Simple Interest Amount formula** A=P(1+R×T100)A = P\left(1 + \frac{R \times T}{100}\right) 5200=P(1+5×6100)5200 = P\left(1 + \frac{5 \times 6}{100}\right) 5200=P(1+0.30)5200 = P(1 + 0.30) 5200=1.30P5200 = 1.30 P **Step 2: Solve for P\displaystyle P** P=52001.30=Rs. 4,000P = \frac{5200}{1.30} = \text{Rs. }4,000 *(Since Rs. 4,000 is not listed in Options A, B, or C, the correct choice is Option D).* Hence, **Option D** is the correct answer.

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