Ramesh bought a shirt for ₹ 336, including 12% ST ( Sales Tax) and a tie for ₹ 110 including 10% ST. Find the list price (without sales tax) of the shirt and the tie together. (3 Marks)
Answers
Given :
Ramesh bought a shirt for ₹336, including 12% ST and a tie for ₹110 including 10% ST.
To Find :
find the list of price (without sales tax) of the shirt and the tie together.
Solution :
Finding the price of the shirt :
Let the price of shirt is P
Given : => 12% ST => 12% on P.
Given : Shirt price is Rs 336
ATQ :
=> p + 12% of p = 336
=> p + (12/100) p = 336
=> p + 0.12p = 336
=> 1.12p = 336
=> p = 336/1.12
=> p = 300
So, price of the shirt is Rs 300
Finding the price of the tie :
Let the price of the tie is A
Given : => 10% ST => 10% on A
Given : Tie price is Rs 110
ATQ :
=> A + 10% of A= 110
=> A + (10/100) A = 110
=> A + (0.1) A = 110
=> 1.1A = 110
=> A = 110/1.1
=> A = 100
So, price of the tie is Rs 100
Shirt Price = Rs 300
Tie Price = Rs 100
Cost of Together = Rs 300 + Rs 100 = Rs 400