In how much time will a sum of Rs. 5250 amounts to Rs. 9870 at the rate of 11 percent per annum at simple interest?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 8 years
  2. 14 years
  3. 12 years
  4. 15 years

Answer (Detailed Solution Below)

Option 1 : 8 years
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Detailed Solution

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Given:

Sum = Rs. 5250

Amount = Rs. 9870

Rate = 11%

Concept used:

S.I = (P × T × R)/100

Here,

P = Sum

T = Time 

R = Rate

Amount = Sum + S. I

Calculation:

Interest = 9870 - 5250

⇒ 4620

Now,

Let the time be T years

4620 = (5250 × T × 11)/100

⇒ 420 = 210T/4

⇒ T = 4 × 2 = 8

So, time is 8 years

∴ The required time is 8 years.

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