A person lent a certain sum of money at the annual rate of 7 percent on simple interest and the interest received in 11 years is Rs. 920 less than the sum lent. What is the sum lent?

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 1)
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  1. Rs. 41200
  2. Rs. 4000
  3. Rs. 52000
  4. Rs. 2400

Answer (Detailed Solution Below)

Option 2 : Rs. 4000
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Detailed Solution

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Given:

Rate = 7%

Time = 11 years

Formula used:

SI = PRT/100

Calculations:

Let the amount lent be P

Interest earned = P - 920

According to the formula,

⇒ SI = PRT/100

⇒ P - 920 = \(\frac{P\times 7\times 11}{100}\)

⇒ 100P - 92000 = 77P

⇒ 100P - 77P = 92000

⇒ 23P = 92000

⇒ P = 4000

⇒ Hence, The amount lent is Rs. 4000

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