logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black sock is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :


  • Options
  • A. 2:1
  • B. 1:4
  • C. 1:2
  • D. 4:1

  • Correct Answer
  • 1:4 

    Explanation

    Let us assume the number of brown socks = B
    Let us assume the price of brown socks = ? P per pair
    Then price of black socks = ? 2P per pair
    Before interchanging the shocks the amount = amount of black shocks + amount of brown shocks
    ? Before interchanging the shocks the total amount = 4 x 2P + B x P
    ? Before interchanging the shocks the total amount = 8P + BP
    After interchanging the shocks the total amount = amount of black shocks + amount of brown shocks
    ? After interchanging the shocks the total amount = 4 x P + B x 2P
    ? After interchanging the shocks the total amount = 4P + 2BP
    According to question,
    After interchanging the shocks the total amount = Before interchanging the shocks the amount + Before interchanging the shocks the amount x 50 %
    4P + 2BP = 8P + BP + (8P + BP ) x 50%
    ? 4P + 2BP = 8P + BP + (8P + BP ) x 50/100
    ? 4P + 2BP = 8P + BP + (8P + BP ) x 1/2
    ? 4P + 2BP = ( 16P + 2BP + 8P + BP ) x 1/2
    ? (4P + 2BP) x 2 = ( 16P + 2BP + 8P + BP )
    ? 8P + 4BP = 24P + 3BP
    ? 8P + 4BP = 24P + 3BP
    ? 4BP - 3BP = 24P - 8P
    ? BP = 16P
    ? B = 16
    The ratio of the number of black and brown pairs of socks = Number of block shocks / Number of Brown Shocks
    ? The ratio of the number of black and brown pairs of socks in the original order = 4/16 = 1/4 = 1: 4


  • More questions

    • 1. 
      ?. x 2 ? 6x = 7
      ?. 2y 2 + 13y + 15 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U ? A)?.

    • Options
    • A. U
    • B. A
    • C. ?
    • D. None of these
    • Discuss
    • 3. 
      Mukul's income is 10% more than Sunil's. How much less is Sunil's income than that of Mukul's?

    • Options
    • A. 8.09 %
    • B. 9.09 %
    • C. 7.09 %
    • D. 7.90 %
    • Discuss
    • 4. 3, 7, 15, 39, 63, 127, 255, 511

    • Options
    • A. 7
    • B. 15
    • C. 39
    • D. 63
    • E. 127
    • Discuss
    • 5. 19, 26, 33, 46, 59, 74, 91

    • Options
    • A. 26
    • B. 33
    • C. 46
    • D. 59
    • E. 74
    • Discuss
    • 6. If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:

    • Options
    • A. 2
    • B. 5
    • C. 6
    • D. 7
    • E. None of these
    • Discuss
    • 7. 6, 13, 18, 25, 30, 37, 40

    • Options
    • A. 25
    • B. 30
    • C. 37
    • D. 40
    • Discuss
    • 8. 
      The true discount on a certain bill due for nine months at 4 % simple interest is ?150. Find the amount of the bill.

    • Options
    • A. ?5150
    • B. ?5250
    • C. ?4750
    • D. ?5650
    • Discuss
    • 9. 
      The present worth of $ 220.50 due in 2 years reckoning compound interest at 5 % is :

    • Options
    • A. $ 200
    • B. $ 197.5
    • C. $ 202
    • D. $ 192.25
    • Discuss
    • 10. 
      The value of 12x2y4z3 ÷ (2xy2 × 3yz2) will be :

    • Options
    • A. 2xyz
    • B. xyz
    • C. 1 xyz
    • D. 2 xyz
    • Discuss


    Comments

    There are no comments.

Enter a new Comment