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 ?
Answers
Answer:
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
Answer:
answer is 25% i hope this is correct answer