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 monthsSolution
ATQ,
Let X invested for x months, so Y invested for (x + 5) months.
Capital ratio = 7:4
Using the profit ratio:
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
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