Question 3 of 23 · Linear Equations
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NIMCET 2026

X, Y, W, 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. Further, the amount contributed by W is 20% of X, Y and Z put together. What is the contribution of Z?

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Answer: Option C — 29 lakhs

Detailed Solution

1

2

3

4

lakhs

Quick tip

Each condition is (total one) that one

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Linear Equations — Preparation

This question tests your understanding of Linear Equations, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.

A linear equation is an equation in which each variable appears only to the first power, such as 3x + 2y = 12. This topic covers solving equations in one variable, solving pairs of equations in two variables by substitution or elimination, conditions for unique, infinite or no solutions, and turning word problems into equations. Typical word problems involve ages, numbers and their digits, ticket and fruit prices, and fractions. The most important skill is translating the sentence correctly into an equation. In multiple-choice questions, substituting the answer options back into the equations is often faster than solving from scratch. Practise the linear equation questions below. Each solution shows how to form the equation from the question and solve it step by step.