Mathematics for FinancePYQ June 19Question 1192 of 512
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If P=Rs. 5,000\displaystyle P = \text{Rs. }5,000 R=15%\displaystyle R = 15\% T=412\displaystyle T = 4 \frac{1}{2} years using i=PTR100\displaystyle i = \frac{PTR}{100} then I\displaystyle I will be

Options

ARs. 3,375\displaystyle \text{Rs. }3,375
BRs. 3,300\displaystyle \text{Rs. }3,300
CRs. 3,735\displaystyle \text{Rs. }3,735
DNone of these
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Correct Answer

✅ Option a — Rs. 3,375\displaystyle \text{Rs. }3,375

All Options:

  • ARs. 3,375\displaystyle \text{Rs. }3,375
  • BRs. 3,300\displaystyle \text{Rs. }3,300
  • CRs. 3,735\displaystyle \text{Rs. }3,735
  • DNone of these

Detailed Solution & Explanation

**Derivation of Simple Interest** Given: - Principal (P\displaystyle P) = Rs. 5,000\displaystyle \text{Rs. }5,000 - Rate of Interest (R\displaystyle R) = 15%\displaystyle 15\% per annum - Time (T\displaystyle T) = 412\displaystyle 4\frac{1}{2} years = 4.5\displaystyle 4.5 years **Step 1: Calculate Simple Interest (I\displaystyle I) using the formula** I=P×R×T100I = \frac{P \times R \times T}{100} I=5000×15×4.5100I = \frac{5000 \times 15 \times 4.5}{100} I=50×15×4.5I = 50 \times 15 \times 4.5 I=750×4.5=Rs. 3,375I = 750 \times 4.5 = \text{Rs. }3,375 Hence, **Option A** is the correct answer.

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