Question

An object is sold at 10% profit at₹550.what will be the profit percentage if the same object is sold at₹ 650

Answer 1

Answer:

30%

Step-by-step explanation:

selling price= 550

profit % is 10%

cost price = selling price - profit%

let the cost price be x

x = 550 - 10% of x

x = 550 - 10x/100

$x + \frac{10x}{100} = 550 \\ \frac{100x + 10x}{100} = 550 \\ 110x = 550 \times 100 \\ x = \frac{550 \times 100}{110} \\ x = 5 \times 100 \\ x = 500$

if sold at 650

selling price = cost price + profit%

650 = 500 + profit%

$650 = 500 + ( \frac{x}{100} \times 500) \\ 650 - 500 = \frac{500x}{100} \\ 150 = 5x \\ x = \frac{150}{5} \\ x = 30$

the profit % is 30%

hope you get your answer