The cost price of two dozen bananas is Rs. 30. After selling 15 bananas at the rate of Rs. 12 per dozen, the shopkeeper sells the remaining bananas at the rate of Rs. 5 per dozen. What is the loss percentage?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 13 March, 2023 Shift 4)
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  1. 22.5 percent
  2. 25 percent
  3. 37.5 percent
  4. 30 percent

Answer (Detailed Solution Below)

Option 3 : 37.5 percent
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Given:

Shopkeeper buys 2 dozen bananas at Rs. 30 per dozen

15 bananas were sold at 12 Rs/dozen

Remaining sold at 5 Rs/dozen

Concept:

1 dozen = 12 

Loss %  = (C.P - S.P) / C.P

Calculations:

C.P of 2 dozen bananas = 30 Rs.

(S.P)1 = \(\frac{15}{12}\) × 12 = 15 Rs.

(S.P)\(\frac{9}{12}\) × 5 = 3.75 Rs.

Total S.P = 15 + 3.75 = 18.75 Rs.

Loss = \(\frac{30-18.75}{30}\times 100\) = 37.5 %

∴ The loss percentage is 37.5 %.

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