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AFCAT Model Paper 2

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Question : 86 of 100

Marks: +1, -0

If the amount becomes doubled in (T + 2) years at the rate of 20% per annum simple interest. Find the value of T (in years).

2 years
3 years
4 years
5 years

Solution:

Given:

Rate of interest(R) = 20%

Principal(P) doubles itself in (T + 2) years

Formula used:

SI = \frac{P \times R \times T}{100}

P = Principal, R = Rate, T = Time

Calculation:

According to the question

2P = P + \frac{PR \times (T + 2)}{100}

⇒

P = \frac{PR \times (T + 2)}{100}

⇒ 100 = 20 × (T + 2)

⇒ 5 = T + 2

∴ The required time is T = 3 years.

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