Question

The cp of an article is 600 which is 25% below the MP if it was sold at the discount of 15% find MP, SP and profit %

Answer 1

Question:

The C.P. of an article is 600 which is 25% below the M.P. If it was sold at the discount of 15%, find M.P., S.P. and profit %.

Answer:

• The M.P. is 800.
• The S.P. is 680.
• The profit is $13\frac{1}{3}$%

Given:

C.P. = 600

C.P. is 25% below the M.P.

Discount = 15%

To find:

M.P.

S.P.

Profit %

Explanation:

Let, the M.P. be, 'n'.

∴ The C.P. is less than the M.P. by_

(n×25/100)

= n/4 [∵ Dividing 25 and 100 by 25.]

∴ C.P._

$=(n-\frac{n}{4})\\ \\=(\frac{4n-n}{4})$

[∵ The L.C.M. of the denominators is 4.]

$=\frac{3n}{4}$

According to problem:

$\frac{3n}{4} = 600$

⇒ 3n = (600×4)

⇒ n = (2400/3)

⇒ n = 800.

∴ The M.P. is 800.

The discount is 15% of M.P.

∴ The discount is_

(800×$\frac{15}{100}$)

= (8× 15) [∵ Dividing 800 and 100 by 100.]

= 120.

∴ The discount is 120.

∴ The S.P. is = (800-120)

                      = 680

So, the discount is 680.

∴ Profit = (S.P.-C.P.)

           = (680-600)

          = 80.

So, the profit %_

($\frac{80}{600}$ × 100)

= (80/6) [∵ Dividing 600 and 100 by 100.]

= (40/3) [∵ Dividing 80 and 6 by 2.]

$= 13\frac{1}{3}%$%

∴ The profit is $13\frac{1}{3}$%.