साधारण ब्याज पर एक धनराशि 2 वर्षों में 212 रुपये और 4 वर्षों में 224 रुपये हो जाती है। राशि ज्ञात कीजिए

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SSC MTS (2022) Official Paper (Held On: 10 May, 2023 Shift 2)
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  1. 400 रुपये
  2. 200 रुपये
  3. 100 रुपये
  4. 500 रुपये

Answer (Detailed Solution Below)

Option 2 : 200 रुपये
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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90 Questions 150 Marks 90 Mins

Detailed Solution

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दिया गया है:

2 वर्ष में राशि = 212 रुपये

4 वर्ष में राशि = 224 रुपये

प्रयुक्त सूत्र:

मिश्रधन = मूलधन + n(साधारण ब्याज) (जहाँ n = वर्षों की संख्या)

गणना:

मान लीजिए कि मूलधन P हैं

2 वर्ष में राशि = 212 रुपये

⇒ P + 2(S.I) = 212 रुपये ---(1)

4 वर्ष में राशि = 224 रुपये

⇒ P + 4(S.I) = 224 रुपये ---(2)

(1) और (2) को घटाएँ।

⇒ S.I = 6 रुपये

S.I का मान समीकरण (1) में रखिए

⇒ P + 2(6) = 212 रुपये

⇒ P = 200 रुपये

∴ अभीष्ट​ उत्तर 200 रुपये है।

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