If the selling price of a bed is 2-times of initial, then the profit is 10-times of initial. Find the initial profit percentage (in %).

Question

Question

This question was previously asked in

RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)

Answer 1

Given:

Selling price of bed = 2 × Initial selling price.

Profit = 10 × Initial profit.

Formula Used:

Profit Percentage = (Profit / Cost Price) × 100

Let Initial Cost Price = C, Initial Profit = P, and Initial Selling Price = S.

Relation between Selling Price, Profit, and Cost Price: S = C + P

Calculation:

New Selling Price = 2 × S

New Profit = 10 × P

⇒ S = C + P

⇒ 2 × S = C + 10 × P

Substitute S = C + P in 2 × S:

⇒ 2 × (C + P) = C + 10 × P

⇒ 2C + 2P = C + 10P

⇒ 2C - C = 10P - 2P

⇒ C = 8P

Initial Profit Percentage = (P / C) × 100

⇒ Initial Profit Percentage = (P / 8P) × 100

⇒ Initial Profit Percentage = (1 / 8) × 100

⇒ Initial Profit Percentage = 12.5%

The initial profit percentage is 12.5%.

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