Question

Aryan
bought a watch for Rs. 60x and sold
it for F (600 - 6x) at a loss of x%
Find x the loss and the selling price.

Answer 1

loss is x-2341 and mark me braliest

Answer 2

Given:

Aryan bought a watch for Rs. 60x and sold it for F (600 - 6x) at a loss of x%

To find:

x the loss and the selling price

Solution:

We know,

$\boxed{\bold{S.P. = \frac{100 - L\%}{100} \times C.P. }}$

The C.P. of the watch = Rs. 60x

The S.P. of the watch = Rs. (600 - 60x)

Therefore, we can form the equation as:

$600 - 6x = \frac{100 - x}{100} \times 60x$

$\implies 600 - 6x = \frac{100 - x}{10} \times 6x$

$\implies 6000 - 60x = (100 - x) \times 6x$

$\implies 1000 - 10x = (100 - x) \times x$

$\implies 1000 - 10x = 100x - x^2$

$\implies x^2 - 110x + 1000 = 0$

$\implies x^2 - 100x - 10x + 1000 = 0$

$\implies x(x - 100) - 10 (x - 100) = 0$

$\implies (x - 100)(x - 10) = 0$

$\implies x = 100 \:or\:10$

100% loss is not possible since it will make S.P. and C.P. zero

$\implies x = 10\%$

∴ S.P. = 600 - (6×10) = 600 - 60 = 540

Thus,

The loss percentage is → 10%.

The selling price is → Rs. 540.

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