A shopkeeper purchased 1600 mangoes at the rate of ₹120 per dozen. Out of these, he sold 900 mangoes at ₹15 per mango and the remaining mangoes at ₹14 per mango. His gain percentage is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 4)
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  1. 45.625%
  2. 38.265%
  3. 35.625%
  4. 48.765%

Answer (Detailed Solution Below)

Option 1 : 45.625%
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Detailed Solution

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Given:

Total quantity of mangoes = 1600

Cost price of mangoes = Rs.120/dozen

Formula used:

Gain = (S.P - C.P)

Gain% = (P × 100)/C.P

Where, P = profit; C.P = cost price; S.P = selling price

Calculation:

Price of 12 mangoes = 120

Price of 1 mango = 120/12 = 10

Total C.P = 1600 × 10 = Rs.16000

Total S.P = 900 × 15 + 700 × 14

⇒ 13500 + 9800 = 23300

Gain = (23300 - 16000) = Rs.7300

Gain% = (Gain × 100)/C.P

⇒ (7300 × 100)/16000

⇒ 730/16 = 45.625%

∴ The correct answer is 45.625%.

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