Question

A dealer marks his goods in such a way that after allowing a discount of 12.5%, he still makes a profit of 10% Find the marked price of an article which costs him ₹245

Answer 1

Step-by-step explanation:

Given :-

A dealer marks his goods in such a way that after allowing a discount of 12.5%, he still makes a profit of 10% .

To find :-

Find the marked price of an article which costs him ₹245 ?

Solution :-

Let the Marked Price of an article be ₹ X

Given Discount Percentage on it = 12.5 %

Discount = 12.5% of Marked Price

=> D = 12.5% × X

=> D = (12.5/100)×X

=> D = (125/1000)×X

=> D = 5/40×X

=> D = ₹ 5X/40

We know that

Selling Price = Marked Price - Discount

=> SP = MP - D

=> SP = X-(5X/40)

=> SP = (40X-5X)/40

=> SP = 35X/40

=> SP = 7X/8

Selling Price of the article = ₹ 7X/8

Profit on it = 10%

We know that

Cost Price = (100×SP)/(100+g)

=> CP = (100×(7X/8))/(100+10)

=> CP = (700X/8)/110

=> CP = (175X/2)/110

=> CP = 175X/(2×110)

=> CP = 175X/220

=> CP = 35X/44

Cost Price of the article = ₹ 35X/44

According to the given problem

The Cost Price of the article = ₹245

=> 35X/44 = 245

=> 35X = 245×44

=> X = 245×44/35

=> X = 7×44

=> X = 308

Therefore, X = ₹ 308

Answer:-

The Marked Price of the atricle for the given problem is ₹ 308

Used formulae:-

• Discount% = MD/100

• M = Marked Price

• D = Discount

• Discount is always calculated on the Marked Price

• Selling Price = Marked Price - Discount

• Cost Price = (100×SP)/(100+g)

• Profit or Loss is always calculated on the Cost Price.

• SP = Selling Price

• g = gain or profit