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  • Question
  • In what ratio should two varieties of sugar at Rs.18 per kg and Rs.24 Kg be mixed together to get a mixture whose cost is Rs.20 per kg?


  • Options
  • A. 1:3
  • B. 3:1
  • C. 1:2
  • D. 2:1

  • Correct Answer
  • 2:1 

    Explanation

    We are asked to find the ratio in which two varieties of sugar, costing Rs. 18 per kg and Rs. 24 per kg, should be mixed to get a mixture that costs Rs. 20 per kg. Here's the step-by-step approach:

    1. Let the quantities of the two varieties of sugar be:
      • Let the quantity of sugar at Rs. 18 per kg be x kg.
      • Let the quantity of sugar at Rs. 24 per kg be y kg.
    2. Cost equation for the mixture:
      • The total cost of the sugar mixture is the sum of the costs of the two varieties of sugar.
      • The cost of the sugar at Rs. 18 per kg is 18x and the cost of the sugar at Rs. 24 per kg is 24y.
      • The total weight of the mixture is x + y kg, and we want the cost of the mixture to be Rs. 20 per kg.
      • The total cost of the mixture should be 20(x + y) rupees.

      Thus, the cost equation becomes:

      18x + 24y = 20(x + y)
    3. Simplify the equation:
      • Expanding the equation: 18x + 24y = 20x + 20y
      • Now, bring like terms together: 18x - 20x = 20y - 24y
      • This simplifies to: -2x = -4y
      • Dividing both sides by -2: x = 2y
    4. Conclusion:
      • The ratio of x to y is x/y = 2/1.
      • Therefore, the two varieties of sugar should be mixed in the ratio of 2:1.
    5. Final answer:

      The two varieties of sugar should be mixed in the ratio 2:1.


  • More questions

    • 1. 
      A person sold an article for ? 3600 and got a profit of 20%. Had he sold the article for ? 3150, how much profit would he have got?

    • Options
    • A. 4%
    • B. 5%
    • C. 6%
    • D. 10%
    • Discuss
    • 2. 
      Two lots of onions with equal quantity, one costing ? 10 per kg and the other costing ? 15 per kg, are mixed together and whole lot is sold at ? 15 per kg. What is the profit or loss?

    • Options
    • A. 10% loss
    • B. 10% profit
    • C. 20% profit
    • D. 20% loss
    • Discuss
    • 3. 
      By selling 32 orange for ? 30 a man loses 25%. How many oranges should be sold for ? 24 so as to gain 20% in the transaction?

    • Options
    • A. 16
    • B. 24
    • C. 32
    • D. 28
    • Discuss
    • 4. 
      Kamlesh purchased 120 reams of paper at ? 100 per ream and the expenditure on transport was ? 480. He had to pay an octroi duty of 50 paise per ream and the coolie charges were ? 60. What should he charge per ream to gain 40%?

    • Options
    • A. ?155
    • B. ? 147
    • C. ? 138
    • D. ? 165
    • Discuss
    • 5. 
      A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent?

    • Options
    • A. 284/7 % loss
    • B. 283/7 % gain
    • C. 283/7 % loss
    • D. 284/7 % gain
    • Discuss
    • 6. 
      A man sold two houses for ? 96000 each. In the sale of the first house, he incurred 20% profit and in the sale of the second, he incurred 20% loss. what is the gain or loss percentage in total?

    • Options
    • A. 6% gain
    • B. 6% loss
    • C. 4% gain
    • D. 4% loss
    • Discuss
    • 7. 
      A man sold two watches, each for ? 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss of gain percentage in the transaction?

    • Options
    • A. 1 % gain
    • B. 1% loss
    • C. 100/99% loss
    • D. Neither gain nor loss
    • Discuss
    • 8. 
      A person sold an article for ? 136 and got 15% loss, had he sold it for ? N, he would have got a profit of 15%. Which one of the following is correct?

    • Options
    • A. 190 < N < 200
    • B. 180 < N < 190
    • C. 170 < N < 180
    • D. 160 < N < 170
    • Discuss
    • 9. 
      A Seller uses 920g in place of one kg to sell his goods. When he sells his article at 15% gain on cost price, the actual percentage of profit is?

    • Options
    • A. 20%
    • B. 15%
    • C. 25%
    • D. 30%
    • Discuss
    • 10. 
      A shopkeeper sells transistors at 15% above its cost price. If he had bought it at 5% more than what he paid for it and sold it for ? 6 more, he would have gained 10%. The cost price of the transistor is?

    • Options
    • A. ? 800
    • B. ? 1000
    • C. ? 1200
    • D. ? 1400
    • Discuss


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