A shopkeeper marked the price of an article a certain percent above cp and he allowed 16% discount to make 5% profit. If a customer paid rs.9492 with 13% vat to buy article by what percent is MP above CP of article?

Let a certain percent be x%

Then,
S.P,=S.P+VAT%of s.p
=S.p+13÷100×s.p.
9492=(100s.p+13s.p)÷100
949200=113s.p
S.p.=Rs.8400
Again,
P%=(p÷c.p)×100%
5={(s.p.-c.p)÷c.p}×100 where (p=s.p-c.p)

5c.p.=840000-100c.p
105c.p.=840000
°:*c.p.=Rs.8000
Similarly,from Question
M.P=c.p.+x%ofc.p.
=8000+(x÷100)×8000
=8000+80x

Similarly,
S.P.=M.P.-d%of m.p.
8400=(8000+80x)-{16÷100(8000+80x)}

840000-67200=6720x
(168000÷6720)=x

#*x=25%

give full answer

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 9492 with 13 vat to buy the article ,by what percent is the marked price above the cost price of the article ?

I want The answer

To find out the percentage that the marked price (MP) is above the cost price (CP) of the article, we need to follow these steps:

Step 1: Calculate the discounted selling price (SP):
Since the shopkeeper allowed a 16% discount, the selling price after the discount can be calculated as follows:
Discount = 16% of MP
SP = MP - Discount

Step 2: Calculate the cost price (CP):
We are given that the shopkeeper allowed a 5% profit after giving the discount. Therefore, the cost price can be calculated as follows:
Profit = 5% of CP
CP + Profit = SP

Step 3: Calculate the selling price after adding VAT:
We are given that the customer paid Rs. 9492 with a 13% VAT. Hence, the selling price after adding VAT can be calculated as follows:
Selling Price + VAT = Rs. 9492

Now, let's solve these equations step by step:

Step 1: Calculate the discounted selling price (SP):
Discount = 16% of MP
SP = MP - Discount

Step 2: Calculate the cost price (CP):
Profit = 5% of CP
CP + Profit = SP

Step 3: Calculate the selling price after adding VAT:
Selling Price + VAT = Rs. 9492

By solving these equations, we can determine the percentage that the marked price (MP) is above the cost price (CP) of the article.

Not good

Good

To take solution

MP*.84 = CP*1.05

MP/CP = 1.05/0.84 = 1.25

so, the original markup was 25%