In how much time will a sum of Rs. 10200 amounts to Rs. 19125 at the rate of 12.5 percent per annum at simple interest?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 1)
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  1. 6 years
  2. 5 years
  3. 8 years
  4. 7 years

Answer (Detailed Solution Below)

Option 4 : 7 years
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Detailed Solution

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Given:

Principal = Rs. 10200

Rate = 12.5 %

A = Rs. 19125

Time period = ?

Formula used:

Simple interest = \(P \times R \times T \over 100\) 

where P = Principal amount

R = Rate

T = Time period

S.I. = A - P

Calculation:

S.I. = 19125 - 10200 = 8925

S.I.  = \(10200 \times 12.5 \times T \over 100\)

8925 = \(10200 \times 12.5 \times T \over 100\)

T = \(8925 \times 100 \over 10200 \times 12.5\)

⇒ 7 years

∴ The time in which a sum of Rs. 10200 amounts to Rs. 19125 at the rate of 12.5 percent per annum at simple interest is 7 years.

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