Question

Amita earns 18% profit by selling an article. If she increases the price of the article by INR60.50, her gain percent increases to 29%. If she sells it for INR 530.75, then gain/ loss percent is

Answer 1

Answer:

Suppose, cost price of the article = c rupees

Selling price for 18% profit = (1.18c) rupees

Selling price for 29% profit = (1.29c) rupees

So, (1.29c - 1.18c) = 60.50

Or, 0.11c = 60.50

Or, c = (6050 / 100) * (100 / 11)

Or, c = 550

So, when she sells it for 530.75 rupees, the loss = (550 - 530.75) rupees = 19.25 rupees.

Thus, percentage loss = (19.25 / 550) * 100% = 3.5%.

Answer 2

$\huge\bf Solution →$

⠀⠀⠀

Let's assume

★cost price of the article = x rupees

⠀⠀⠀

➥Selling price for 18% profit = 1.18x rupees

⠀⠀⠀

➥Selling price for 29% profit = 1.29x rupees

⠀⠀⠀

$\boxed{\text{(1.29 x - 1.18 x) = 60.50 }}$

⠀⠀⠀

➥$\frac{6050}{100}$×$\frac{100}{11}$

➥$\boxed{\text{x = 550 }}$

⠀⠀⠀

loss = 550 - 530.75

⠀⠀⠀= 19.25 rupees.

⠀⠀⠀

Thus,

percentage loss

➥ $\frac{19.25}{550}$×100

➥ 3.5%