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  • Question
  • Ramesh and Suresh undertaken to do a piece of work for ? 800. Ramesh alone can do it in 12 days, while Suresh alone can do it in 16 days. With the assistance of a boy, they finish it in 6 days. How should the money be divided?


  • Options
  • A. Ramesh = ? 100, Suresh = ? 300 and boy = ? 400
  • B. Ramesh = ? 200, Suresh = ? 200 and boy = ? 400
  • C. Ramesh = ? 400, Suresh = ? 300 and boy = ? 100
  • D. Ramesh = ? 300, Suresh = ? 400 and boy = ? 100

  • Correct Answer
  • Ramesh = ? 400, Suresh = ? 300 and boy = ? 100 

    Explanation

    Ramesh's 1 day's work = 1/12
    Suresh's 1 day's work = 1/16
    (Ramesh + Suresh)'s 1 day work = (1/12) + (1/16)
    = (16 + 12) / (12 x 16)
    = 28/192
    = 7/48

    Given that, (Ramesh + Suresh + Boy)'s
    1 day's work = 1/6
    ? Boy's 1 day's work = (1/6) - (7/48) = (8 - 7)/ 48 = 1/48
    ? Ramesh's share : Suresh's share : Boy's share = 1/12 : 1/16 : 1/48
    = (8/96) : (6/96) : (2/96)
    = 8 : 6 : 2
    = 4 : 3 : 1

    Let Ramesh's share be 4k , Suresh's share be 3k and boy's share be k.
    According to the question,
    4k + 3k + k = 800
    8k = 800
    ? k = 800/8 = 100

    ? Ramesh's share = 4k = 4 x 100 = ? 400
    Suresh's share = 3k = 3 x 100 = ? 300
    Boy's share = k = ? 100


  • 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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