Mathematics for FinancePYQ June 19Question 1190 of 512
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A sum of money amount to Rs. 6,200\displaystyle \text{Rs. }6,200 in 2\displaystyle 2 years and Rs. 7,400\displaystyle \text{Rs. }7,400 in 3\displaystyle 3 years as per S.I. then the principal is

Options

ARs. 3,000\displaystyle \text{Rs. }3,000
BRs. 3,500\displaystyle \text{Rs. }3,500
CRs. 3,800\displaystyle \text{Rs. }3,800
DNone of these
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Correct Answer

✅ Option c — Rs. 3,800\displaystyle \text{Rs. }3,800

All Options:

  • ARs. 3,000\displaystyle \text{Rs. }3,000
  • BRs. 3,500\displaystyle \text{Rs. }3,500
  • CRs. 3,800\displaystyle \text{Rs. }3,800
  • DNone of these

Detailed Solution & Explanation

**Derivation of Principal under Simple Interest** Given: - Amount after 2\displaystyle 2 years (A2\displaystyle A_2) = Rs. 6,200\displaystyle \text{Rs. }6,200 - Amount after 3\displaystyle 3 years (A3\displaystyle A_3) = Rs. 7,400\displaystyle \text{Rs. }7,400 **Step 1: Find Simple Interest per year (I\displaystyle I)** Since Simple Interest is constant over time: Interest for 1 year (3−2)=A3−A2=7400−6200=Rs. 1,200\text{Interest for 1 year } (3 - 2) = A_3 - A_2 = 7400 - 6200 = \text{Rs. }1,200 **Step 2: Find the Principal (P\displaystyle P)** Using the amount equation for 2\displaystyle 2 years: A2=P+2IA_2 = P + 2I 6200=P+2(1200)6200 = P + 2(1200) 6200=P+24006200 = P + 2400 P=6200−2400=Rs. 3,800P = 6200 - 2400 = \text{Rs. }3,800 Hence, **Option C** is the correct answer.

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