Question

If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price.
A) 6:31
B) 11:30
C) 7:30
D) 31:6

Answer 1

Answer:

From the given question we can conclude that the S.P is 5 times the

(M.P. - S.P) so the value of 5 M.P. = 6 S.P.

M.P. = (6/5) S.P.

From the question we get to know that the  percentage discount = Percentage profit, then we can calculate the selling price and cost price.

(6/5S.P − S.P)/(6/5S.P)×100 or which can also be written as (S.P −C.P)/C.P×100.

Hence, on simplifying we will get that  1/6 = (S.P/C.P) – 1 or S.P = (7/6) C.P.

Hence, the price of the mat will be = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P .

So, the ratio of discount to C.P will be:-

= (M.P – S.P)/C.P =[{(7/5)C.P - (7/6)C.P} / C.P] .

Which on calculating we will get the ratio to be 7/30.

Answer 2

Answer:

Explanation:

Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.

M.P. = (6/5) S.P.

Since the percentage discount = Percentage profit,

65S.P − S.P65S.P×100 = S.P −C.PC.P×100

Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.P

M.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.P

Therefore, Ratio of discount to C.P

= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]

= 7/30

Step-by-step explanation: