Question

By selling a bag at 1500 and 2100 there is some loss and some profit respectively. If the loss is twice the profit find its cost price

Answer 1

Answer:

The cost price is 1900

Step-by-step explanation:

Let C be the cost.

The loss obtained by selling for 1500 is C-1500.

The profit obtained by selling for 2100 is 2100-C.

The loss is twice the profit

=> C - 1500 = 2 ( 2100 - C )

=> C - 1500 = 4200 - 2C

=> C + 2C = 4200 + 1500

=> 3C = 5700

=> C = 5700 / 3

=> C = 1900

Answer 2

we know,

1st case

sp=1500

loss=2profit=2p

c.p =1500 + 2p

2nd case :

s.p = 2100

profit = p

cp = 2100 - p

now,

both cp are same

or, 2100-p =1500+2p

or, 3p = 2100 - 1500

or, p = 600/3

p = 200

from 1st cp putting p value

c.p = 1500+2 * p

c.p = 1500 + 400

#c.p = 1900