📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      In the question, two quantities I and II are given. You

      have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Quantity I: X and Y entered into a partnership by investing in the ratio of 7:4 respectively. Y remained in the business for 5 months more than X. If X received Rs. 2100 out of a total profit of Rs. 4900, find the duration for which Y invested his capital. Quantity II: 9 months
      A Quantity-I > Quantity-II Correct Answer Incorrect Answer
      B Quantity-I < Quantity-II Correct Answer Incorrect Answer
      C Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer
      D Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer
      E Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let X invested for x months, so Y invested for (x + 5) months.

      Capital ratio = 7:4

      Using the profit ratio:

      Image

      Now, cross-multiply:

      7x×4=4(x+5)×3⇒28x=12x+60⇒16x=60⇒x=3.75

      Time for which Y invested = x+5=3.75+5=8.75 months

      Quantity I = 8.75 months

      Quantity II = 9 months

      So, Quantity I < Quantity II

      Practice Next
      More Quantity Inequality Questions

      Relevant for Exams:

      ask-question