Question

Anoop sells a book to mayank at a profit of 20% and mayank sells this book to siddharth at a profit of 25%. now siddharth sells this book at a loss of 10% to shishir. at what percentage loss should shishir sell this book now so that his sp becomes equal to anoop’s cp

Answer 1

Answer:

25.9%

Step-by-step explanation:

Define x:

Let Annop's cost price be x

Find the price of the book sold to Mayank

Profit = 20% of x

Profit = 0.2x

Price of the book = x + 0.2x = 1.2x

Find the price of the book sold to Siddharto

Profit = 25% of 1.2x

Profit = 0.25 (1.2x) = 0.3x

Price of the book = 1.2x + 0.3x = 1.5x

Find the price of the book sold to Shirshir:

Loss = 10% of 1.5x

Loss = 0.1(1.5x) 0.15x

Price of the book = 1.5x - 0.15x = 1.35x

Find the price that Shirshir should sell:

Loss = 1.35x - x = 0.35x

Loss Percentage = Loss/Cost Price x 100

Loss Percentage = (0.35x ÷ 1.35x) x 100 = 25.9%

Answer: The loss is 25.9%

Answer 2

Answer:

25.92%

take CP = 100

20% PROFIT = 120

25% PROFIT = 150

10% LOSS     = 135

DIFFERENCE = 135 - 100 = 35

SP = 35/135 × 100 = 25.92