NIMCET 2023 — Reasoning PYQ

Step-by-step Solution 

1. Represent the shares using a common multiplier: 

The ratio of money distributed among P, Q, R, and S is $2:5:4:3$. Therefore, the shares can be represented as: P's share $=2x$ Q's share $=5x$ R's share $=4x$ S's share $=3x$ where $x$ is a common multiplier. [1, 2, 3]  

1. Formulate an equation based on the given condition: 

It is stated that Q gets Rs. $2000$ more than S. This can be expressed as: Q's share $-$ S's share $=2000$ Substituting the expressions from step $1$: $5x-3x=2000$ 
1. Solve for the common multiplier $x$): 
Simplify the equation from step $2$: $2x=2000$ Divide both sides by $2$: $x=\frac{2000}{2}$ $x=1000$ 

1. Calculate the total amount: 
The total amount is the sum of all individual shares: Total amount $=\text{P’s share}+\text{Q’s share}+\text{R’s share}+\text{S’s share}$ Total amount $=2x+5x+4x+3x$ Total amount $=14x$ Substitute the value of $x$ found in step $3$: Total amount $=14\times 1000$ Total amount $=14000$ 
Final Answer 
The total amount is Rs. $14000$.