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
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
Given a triangle with two sides measuring 12 cm and 16 cm, which of the following cannot be a possible length for the third side?
The mean age of 30 students was calculated as 15 years. However, it was later discovered that one student's age was mistakenly entered as 15 years inste...
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
If a = 32, b = c = 31, then find the value of a 3 + b 3 + c 3 – 3abc.
If x3 + y3 = 9 and x + y=3 then the value of x4 + y4 is:
105, 111, 123, 141, ?, 195
Let {x + (1/x)} = 4, then Determine the value of {x² + (1/x²)}
Relevant for Exams:
