Question

Pls answer this question
Renu bought two pigs for₹3605. He sold one of them at a profit of 15% and the other at a los of 9%. If he sold both pigs for same price, then find the cost price of each pig
Thank you

Answer 1

let price of one pig is x and another one is y

$x + y = 3605$

$x + 15\% = y - 9\% \\ x + \frac{15x}{100} = y - \frac{9y}{100} \\ \frac{100x + 15x}{100} = \frac{100y - 9y}{100} \\ 115x = 91y \\ x = \frac{91y}{115}$

$x + y = 3605 \\ \frac{91y}{115} + y = 3605 \\ \frac{91y + 115y}{115} = 3605 \\ \frac{206y}{155} = 3605 \\ y = 3605 \times \frac{155} {206} \\ y = \frac{558775}{206} \\ y = 2712.5$

$x = \frac{91y}{115} \\ \\ x = \frac{91}{155} \times 2712.5 \\ \\ x = \frac{91}{155} \times \frac{27125}{10} \\ \\ x = 91 \times \frac{175}{10} \\ x = 1592.5$