Question

A tradesman marked up the price of goods at 30% above the cost price. He sells half the stock at this price, one quarter of his stock at a discount of 15% on the marked price and remaining one quarter at a discount of 30% on the marked price. Find the gain percentage in this whole trade.

Answer 1

lets assume, no of goods be 100

A tradesman marked up the price of goods at 30% above the cost price

let cost price be x

so, marked up price = x + 30% of x
marked up price = 100%x + 30%x
marked up price = 130% x

He sells half the stock at this price
so, half goods = 100/2 = 50
price of 50 goods at 130%x
so, total profit or loss of 50 goods = 130%x * 50 = 6500%x

one quarter of his stock at a discount of 15% on the Marked up price
so, discount of 15% on 130%x = 19.5% discount
after discount on marked up price = (130% - 19.5%) x = 110.5%x

one quarter of his goods = 100/4 = 25

profit or loss on one quarter goods at a discount of 15% on marked up price = 25 * 110.5%x = 2762.5%x

remaining one quarter at a discount of 30% on the Marked price

so, discount of 30% on 130% x = 39% discount
so, profit or loss of 30% on the Marked price = (130% - 39%)x = 91%x

so, total profit or loss on one quarter of goods with discount of 30% on marked price = 25 * 91%x = 2275%x

so total profit or loss of 100 goods = (6500%x + 2762.5%x + 2275%x)/100 = 11537.5%x/100 = 115.375%x

so, total profit on 100 goods is 15.375%