A man earns ₹44,250 as an interest in 3 years on a certain sum invested with a company at the rate of 10 percent per annum at simple interest. Find the sum invested by the man in the company.

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  1. Rs. 1,67,500
  2. Rs. 2,47,500
  3. Rs. 1,45,500
  4. Rs. 1,47,500

Answer (Detailed Solution Below)

Option 4 : Rs. 1,47,500
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Detailed Solution

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Given:

At the rate of 10% per annum, a man earns ₹44,250 as interest in 3 years.

Concept used:

Simple interest = (P × t × r)/100 

Where, P = principal, t = time, r = rate of interest.

Calculation:

⇒ \(\frac{P× 3×10}{100}\) = 44250 [ here, r = 10%, t = 3 years ]

⇒ P =  \( \frac{44250× 100}{3× 10}\) 

⇒ P = 147500 

∴ The sum invested by the man in the company is 1,47,500.

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