NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

10 people went to a restaurant to have a meal as a group. Of these, 9 had already contributed Rs 400 each, while the 10th person had to give the entire additional amount required to honour the restaurant's bill. How much did this person pay if he had to pay Rs 900 more than the group's average?

Choose the correct answer:

Explanation

To solve the problem presented in image_808c7b.png, we apply the algebraic method using the concept of averages.

Step 1: Set up the variables

Let the average amount paid by the 10 people be $x$ .

Consequently, the total bill amount paid by all 10 people is $10 x$ .

Step 2: Formulate the equation

We know that 9 people paid Rs 400 each, and the 10th person paid Rs 900 more than the average ( $x + 900$ ).

The total amount equation is:

$10 x = (9 \times 400) + (x + 900)$

Step 3: Solve for $x$

Simplify the equation:

$10 x = 3600 + x + 900$

$10 x - x = 4500$

$9 x = 4500$

$x = \frac{4500}{9}$

$x = 500$

Step 4: Calculate the payment of the 10th person

The 10th person paid Rs 900 more than the average ( $x$ ):

$Payment = x + 900$

$Payment = 500 + 900 = 1400$

The 10th person paid Rs 1400.

Correct Answer: Option 3