TEZPUR 2025 — Reasoning PYQ

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Question

TEZPUR 2025 — Reasoning PYQ

TEZPUR | Reasoning | 2025

Ravi was on his way home when a boy asked him to donate some money to the poor people’s fund. Ravi gave him one rupee more than half the money he had. He walked a few more steps when he met a girl who requested him to donate for the animal welfare society. This time he gave two rupees more than half the money he had then. After some time, he met another girl who requested him to donate for an orphanage. He gave three rupees more than half of what he had then and was left with only one rupee. How much money did Ravi have with him when he started?

Choose the correct answer:

Explanation

1. After the third donation (Orphanage):

He was left with Rs. $1$ . Before this, he gave away "three rupees more than half of what he had".

Let $R_{2}$ be the amount he had before this donation.

$1 = R_{2} - (\frac{R _{2}}{2} + 3)$

$1 = \frac{R _{2}}{2} - 3$

$4 = \frac{R _{2}}{2} ⟹ R_{2} = 8$

2. After the second donation (Animal Welfare Society):

He had Rs. $8$ left. Before this, he gave away "two rupees more than half of what he had".

Let $R_{1}$ be the amount he had before this donation.

$8 = R_{1} - (\frac{R _{1}}{2} + 2)$

$8 = \frac{R _{1}}{2} - 2$

$10 = \frac{R _{1}}{2} ⟹ R_{1} = 20$

3. After the first donation (Poor People's Fund):

He had Rs. $20$ left. Before this, he gave away "one rupee more than half of what he had".

Let $x$ be the starting amount.

$20 = x - (\frac{x}{2} + 1)$

$20 = \frac{x}{2} - 1$

$21 = \frac{x}{2} ⟹ x = 42$

Conclusion:

Ravi started with Rs. 42.

The correct option is (a) Rs. 42.