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Mathematics

A sum of ₹ 600 put at 5% S.I. amounts to ₹ 720 in:

  1. 3 years

  2. 4 years

  3. 5 years

  4. 6 years

Simple Interest

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Answer

Given:

P = ₹ 600

R = 5%

A = ₹ 720

Let the time be tt.

A = P + S.I.720=600+S.I.S.I.=720600S.I.=120\text{A = P + S.I.}\\[1em] \Rightarrow ₹ 720 = ₹ 600 + \text{S.I.}\\[1em] \Rightarrow \text{S.I.} = ₹ 720 - ₹ 600\\[1em] \Rightarrow \text{S.I.} = ₹ 120\\[1em]

And

S.I.=(P×R×T100)120=(600×5×t100)120=3,000×t100120=30×tt=12030t=4\text{S.I.} = \Big(\dfrac{P \times R \times T}{100}\Big)\\[1em] \Rightarrow 120 = \Big(\dfrac{600 \times 5 \times t}{100}\Big)\\[1em] \Rightarrow 120 = \dfrac{3,000 \times t}{100}\\[1em] \Rightarrow 120 = 30 \times t\\[1em] \Rightarrow t = \dfrac{120}{30}\\[1em] \Rightarrow t = 4

Hence, option 2 is the correct option.

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