# A Shopkeeper Marks the Price of a Dress Material 10% Above His Cost Price and Levies a Sales Tax of 8% on It. If a Customer Has to Pay Rs 2,970 for the Dress Material, - Mathematics

Sum

A shopkeeper marks the price of a dress material 10% above his cost price and levies a sales tax of 8% on it. If a customer has to pay Rs 2,970 for the dress material, find the cost price of the dress material.

#### Solution

Let x be the cost price.

Marked pnce = x+ 10 % of x = Rs x + 10/100 xx  x = "Rs"  (11 x)/10

Sales tax = 8 % of the marked price.

= 8/100 xx "Rs"  (11 x)/10

= Rs (88 x)/1000

Therefore, total cost of dress material = marked price + sales tax

= "Rs"  (11 x)/10 + (88 x)/1000

= Rs (1188  x)/1000

But, total price = Rs 2, 970

⇒ (1188  x)/1000 = Rs 2970

⇒ x = Rs (2970 xx 1000)/1188

⇒ x = Rs 2500

Hence, the cost price of the dress material = Rs 2,500

Concept: Computation of Tax - Basic/Cost Price Including Inverse Cases.
Is there an error in this question or solution?

#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 2 Sales Tax and Value Added Tax
Exercise 2.1 | Q 27 | Page 35