Question

Plz help me guys ╥﹏╥​

Answer 1

• Let the M.P of the article be x.
• A discount of 30% was given on the M.P.
• So the selling price of the article (S.P) = M.P - Discount.
• Discount = 30% of x

`= (30)/(100) x \\ = (3x)/(10)`

• Now S.P. = M.P - Discount
• or, S.P.

`= x - (3x)/(10) \\ = (10x - 3x)/(10) \\ = (7x)/(10)`

• The shopkeeper loses Rs 400.
• Loss = C.P - S.P
• or, C.P = Loss + S.P.
• or, C.P =
  `400 + (7x)/(10) \\ = (4000 + 7x)/(10)`
• Now if he allows 10% discount then the gain is Rs 200.
• Gain = S.P - C.P
• or, S.P = Gain + C.P
• S.P =
  `200 + (4000 + 7x)/(10) \\ = (6000 + 7x)/(10)`
• Discount = 10 % of x
  `= (10)/(100) x \\ = (x)/(10)`
• S.P. = M.P - Discount
• or,
  `(6000 + 7x)/(10) = x - (x)/(10) \\ = > (6000 + 7x)/(10) = (9x)/(10) \\ = > 6000 + 7x = 9x \\ = > 9x - 7x = 6000 \\ = > 2x = 6000 \\ = > x = 3000`
• The M.P of the article is Rs 3000.
• C.P =
  `(4000 + 7x)/(10) \\ = \frac {4000+7(3000)}{10} \\ = (4000+21000)/(10) \\ = 2500`
• The cost price is Rs 2500.

Answers:

Rs. 3000, Rs. 2500

Hope you could understand.

If you have any query, feel free to ask.