Question

A shopkeeper marked price of an article of a certain % above the cost price and he allowed 16 % discount to make 5% profit, if a customer paid rupees 9492 with 13% VAT to by the article. by what percentage the Marked price above the cost price of the article?​

Answer 1

MP×84 = CP×1.05

MP/CP = 1.05/0.84= 1.25

So orginal markup was 25%

Answer 2

Answer:

Step-by-step explanation:

Here,

S.P. with VAT = Rs 9492

VAT % = 13%

Therefore, S.P. with VAT = S.P. + VAT% of S.P

Or, Rs 9492 = S.P. + 13/100 ×S.P.

Or, Rs 9492 = 113 S.P./100

Or, Rs (9492×100) = 113 S.P.

Or, Rs 949200/113 = S.P.

Therefore, S.P. = Rs 8400

Again, CP = (S.P. × 100)/100+P%

= (Rs 8400×100)/100+5

= Rs 840000/105

= Rs 8000

Again, Let the above percent be x,

M.P. = CP + x% of CP

= Rs 8000+x/100 × Rs 8000

= Rs (8000 + 80x)

Now,SP=MP - d% of MP

Or, Rs 8400 = (8000+80x) - 16/100 × (8000+80x)

Or, Rs 8400 = (800000+8000x - 128000-1280x)/100

Or, Rs 840000 = 672000 + 6720x

Or, Rs 840000 - 672000 = 6720x

Or, Rs 168000 = 6720x

Or, Rs 168000/6720 = x

Therefore, x = 25%.

Hence, The marked price is above the cost price by 25 percent. Answer.

Solved :