## A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit. If a custo

Question

A shopkeeper marked the price of an article a certain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9,492 with 13% VAT to buy the article, by what percent is the marked price above the cost price of the article ?

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1 month 2021-08-19T00:26:05+00:00 2 Answers 0 views 0

25%

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 : Paras Sharma