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  1. Quantity I > Quantity II < Quantity III
  2. Quantity I > Quantity II > Quantity III
  3. Quantity I < Quantity II > Quantity III
  4. Quantity I < Quantity II < Quantity III
  5. Quantity I = Quantity II = Quantity III
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1 Answers

Option 3 : Quantity I < Quantity II > Quantity III

Quantity I:

Simple interest received from Scheme A = (P × 12 × 5)/100 = 3p/5

Therefore amount = p + 3p/5 = 8p/5

Simple received from Scheme B = (8P × 5 × 4)/(100 × 5) = 8p/25

According to question,

3P/5 - 8P/25 = 2240

⇒ 7P/25 = 2240

⇒ P = Rs. 8000

Quantity II:

Amount = simple interest + principal

⇒ 16800 = simple interest + 12000

⇒ simple interest = 16800 - 12000

⇒ Rs. 4800

Let interest be r

4800 = (12000 × r × 4)/100

⇒ r = (4800 × 100)/(12000 × 4)

⇒ r = 10%

According to question

New rate (r) = 10% + 5%

SI = (12000 × 15 × 4)/100

⇒ SI = Rs. 7200

Amount = 12000 + 7200 = Rs. 19200

Quantity III:

Let the principle be Rs. p

According to question,

(p × 8 × 18)/(100 × 12) - (p × 10 × 12)/(100 × 12) = 200

⇒ (12p - 10p)/100 = 200

⇒ 2p = 20000

⇒ P = Rs. 10,000

Quantity I < Quantity II > Quantity III

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