Question

when a discount of 15% is allowed on the marked price of an article, it is sold for ₹2975? calculate its cost price, given marked price is 40% above the cost price of the article (hint:marked price=3500)

plzz answer urgently

Answer 1

Given:

S.P = ₹ 2975

Discount %= 15%

Let the M.P = X

Discount= M.P × D%

Discount= x× 15%= 15% of X

S.P= M.P - Discount

2975 = x- 15%of X

2975 = X - 15x/100

2975 = (100x - 15x)/100

2975 = 85x /100

X= 297500 /85= 3500

M.P = ₹ 3500

M.P = 40% of C.P + C.P ( given)

3500 = 40C.P/100 + C.P

3500 = (40 C.P + 100C.P)/100

350000 = 140C.P

C.P = 350000/140= 35000/14= 2500

Hence, cost price (C.P) = ₹ 2500

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Hope this will help you....

Answer 2

marked price supposed to be = x
15% discount on marked price the article will be sold at price of =2975
It  means that 
x - 15 % of x =2975
x - 15 / 100 x = 2975
100 x - 15 x / 100 = 2975
85 x / 100 = 2975
that means that ,
x = 2975 * 100 / 85
35 * 100
3500
so the marked price of article is 2500 rs
profit can be taken as 
profit = Sp - cp
= 2975 - 2500
rs 475
percent profit can be calculated as
profit / cp * 100
475 / 2500 * 100
475 / 25
= 19 %