A shopkeeper bought 210 kilograms of rice at the rate of Rs.100 per kilogram. He sold 80% of the total quantity at the rate of Rs.125 per kilogram. At what price per kilogram should he sell the remaining quantity to make 65% overall profit? (In Rs.)

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UP Police SI (दरोगा) Official PYP (Held On: 24 Nov 2021 Shift 2)
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  1. 325
  2. 345
  3. 335
  4. 355

Answer (Detailed Solution Below)

Option 1 : 325
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

Total quantity of rice = 210 kg

CP = Rs. 100 per kg

Sold 80% of total at the rate of Rs. 125 per kg

Calculation:

Cost Price of rice = 210 × 100 ⇒ Rs 21000

80% of total quantity = 210 × 0.8 ⇒ 168 kg

Selling price of 168 kg = 168 × 125

⇒ Rs. 21000

For overall 65% profit , Total SP = 21000 × 165/100

⇒ Rs 34,650

Remaining quantity = (210 - 168) = 42 kg

SP per kg of remaining quantity to get a overall profit of 65%:

⇒ (34,650 - 21000)/42

⇒ Rs. 325

Hence, the correct answer is "Rs 325".

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