NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

X, Y, W, and Z jointly purchased an office space for Rs 84 lakhs. The amount contributed by Y, W, and Z put together is three times that of X. The amount contributed by X, W, and Z put together is 320% of Y. The amount contributed by W is 20% of X, Y, and Z put together. What is the contribution of Z?

Choose the correct answer:

Explanation

To solve this, let $x, y, w,$ and $z$ represent the contributions (in lakhs) of X, Y, W, and Z, respectively.

Step 1: Set up the equations

Based on the provided information:

Total contribution: $x + y + w + z = 84$
Condition 1: $y + w + z = 3 x$
Condition 2: $x + w + z = 3.2 y$ (since 320% of $y$ is $3.2 y$ )
Condition 3: $w = 0.2 (x + y + z)$

Step 2: Solve for X and Y

From equations (1) and (2):

Substitute $(y + w + z)$ with $3 x$ in equation (1):

$x + 3 x = 84$

$4 x = 84$

$x = 21$

From equations (1) and (3):

Substitute $(x + w + z)$ with $3.2 y$ in equation (1):

$3.2 y + y = 84$

$4.2 y = 84$

$y = \frac{84}{4.2} = 20$

Step 3: Solve for W

Using equation (4) and the fact that $(x + y + z) = 84 - w$ :

$w = 0.2 (84 - w)$

$w = 16.8 - 0.2 w$

$1.2 w = 16.8$

$w = \frac{16.8}{1.2} = 14$

Step 4: Solve for Z

Using the total sum equation:

$x + y + w + z = 84$

$21 + 20 + 14 + z = 84$

$55 + z = 84$

$z = 84 - 55$

$z = 29$

Correct Answer:

The contribution of Z is 29 lakhs, which corresponds to Option 3.