Question

The list price of an article is 25% above the SP and the CP is 40% below the list price.
Find the percentage rate of discount

Answer 1

Answer : 16.67%

Step by step explanation :

Let the S.P of an article be Rs. x.

Now,

M.P = Rs. x + 20 % of x

= Rs. x + (x/5)

= Rs. (6x/5)

Now,

C.P =  Rs x - 40% of x

= Rs. x - (2x/5)

= Rs. 3x/5

Now,

We know that,

Profit = S.P - C.P

= Rs ( x ) - (3x/5)

= Rs.  2x/5

We know that,

Profit % = ([Profit / C.P] × 100) %

= ((2x/5)/(3x/5) × 100)%

= (200/3)%

= 66.67 %

Now,

Discount = M.P - S.P

= (6x/5) - x

= x/5

Now,

Rate of discount = ([Discount/M.P] × 100) %

= [(x/5)/(6x/5) × 100] %

= 16.67 %

Therefore,

The percentage rate of discount is 16.67 %

Answer 2

Answer:

Discount =20°%

Profit=66.6%

Please find the answer