Question

A garment store offers a Diwali discount of 10% on every purchase. If the owner of the store earns a profit of 10% on selling a shirt at RS.450, find the marked price and the cost price of the shirt.

Answer 1

Solutions :-

Given:
A garment store offers a Diwali discount of 10% on every purchase.
The owner of the store earns a profit of 10% on selling a shirt at Rs 450.

Find the Marked Price of the shirt :-

M.P = (S.P × 100)/(100 - Discount)
= (450 × 100)/(100 - 10)
= 45000/90
= 500

Find the Cost Price of Shirt :-

C.P = (S.P × 100)/(100 + Profit)
= (450 × 100)/(100 + 10)
= 45000/110
= 409.09

Hence,
Marked Price of the shirt = Rs 500
Cost Price of the Shirt = Rs 409.09

Answer 2

Answer:  

Cost Price of Shirt = Rs 409.09
Marked price of Shirt = Rs 500  

Step-by-step explanation:

We have,
 Selling price of shirt = Rs 450
Profit = 10%
Discount on its marked price = 10%  

We know that,  
Marked Price = (S.P × 100)/(100 - Discount)
= (450 × 100)/(100 - 10)
= 45000/90 = 500  

We know that,  
Cost Price = (S.P × 100)/(100 + Profit)
= (450 × 100)/(100 + 10)
= 45000/110 = 409.09 (approx.)