Question

The percentage of profit earned by selling an
article for 2000 is equal to the percentage of loss
on selling the same article for 1800. Find the
selling price so as to make a profit of 10%.
​

Answer 1

Answer:

Rs.2000

Step-by-step explanation:

Let price=x

1920−x=x−1280

2x=3200

x=1600

Now, for profit of 25%

1600+  25/100 =400

∴ Net price=1600+400

=2000/2.

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Answer 2

Answer:

2090 rs

step by step verification:

p = sp - cp

l= cp - sp

cp = x

p = 2000 - x rs

l = x - 1800

p% = 2000 - x * 100 / x

l% = x - 1800 * 100 / x

cp = 2000 - x * 100 / x = x - 1800 * 100 / x

we have cut 100 and x as they have same sign and opposite side .

cp = 2000 - x = x - 1800

= 2000 + 1800 = x + x

= 3800 = 2x

we have side changed the 2 and then divided it by 3800.

= 1900 = x

cp = 1900rs

we have to find sp to make 10 % profit

let the sp be y.

p% = p × 100 / cp

10 = y - 1900 × 100 / 1900

10= y - 1900 / 19

10 × 19 = y - 1900

190 + 1900 = y

2090 = y

sp = 2090 .

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