A sum of Rs.68500 is invested under simple interest at rate of 5% p.a. If the amount after 28 years is been withdrawn and 3/4 of the total amount is been invested in share market, then find the remaining amount. (in Rs.)

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UP Police SI (दरोगा) Official PYP (Held On: 28 Nov 2021 Shift 3)
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  1. 41000
  2. 41200
  3. 41300
  4. 41100

Answer (Detailed Solution Below)

Option 4 : 41100
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

Principal (P) = ₹68,500

Rate (r) = 5% p.a.

Time (t) = 28 years

Formula used:

Simple Interest (SI) = \(\frac{P \times r \times t}{100}\)

Amount (A) = Principal (P) + Simple Interest (SI)

Calculation:

SI = \(\frac{68,500 \times 5 \times 28}{100}\)

⇒ SI = \(\frac{68,500 \times 140}{100}\)

⇒ SI = ₹95,900

A = ₹68,500 + ₹95,900

⇒ A = ₹1,64,400

3/4 of A = \(\frac{3}{4} \times 1,64,400\)

⇒ 3/4 of A = ₹1,23,300

Remaining amount = A - 3/4 of A

⇒ ₹1,64,400 - ₹1,23,300 = ₹41,100

∴ The correct answer is option (4).

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