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  • Question
  • An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?


  • Options
  • A. 2000
  • B. 3000
  • C. 2500
  • D. 3500

  • Correct Answer
  • 2000 

    Explanation

    Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

     

    Therefore, s + b = 5000 ... eqn (1)

     

    Each small packet was sold for Rs.150.
    Therefore, 's' small packets would have fetched Rs.150s.

     

    Each large packets was sold for Rs.250.
    Therefore, 'b' large packets would have fetched Rs.250b.

     

    Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

     

    Or 150s + 250b = 10,50,000 ... eqn (2)

     

    Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

     

    Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
    Or b = 3000

     

    We know that s + b = 5000
    So, s = 5000 - b = 5000 - 3000 = 2000.

     

    2000 small packets were sold.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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