A sum of money at simple interest amount of Rs. 600 in 4 years and Rs. 650 in 6 years. The rate of interest per annum is:

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SSC GD Constable Memory Based Test (6 Feb 2023 Shift 1)
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  1. 5%
  2. 5.5%
  3. 4%
  4. 4.5%

Answer (Detailed Solution Below)

Option 1 : 5%
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Detailed Solution

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Given:

A sum of money at simple interest amount of Rs. 600 in 4 years and Rs. 650 in 6 years.

Concept used:

S.I = (P × T × R)/100

Here,

P = Sum

T = Time

R = Rate

Calculation:

Interest in 2 years = 650 - 600

⇒ 50

So, interest for 4 years = 100

So, Sum = 600 - 100

⇒ 500

Now,

100 = (500 × 4 × R)/100

⇒ 100 = 20R

⇒ R = 5

So, rate = 5%

∴ The required answer is 5%.

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