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Question 7.
Ramesh bought a shirt for 336, including 12% ST and a tie for 110
including 10% ST. Find the list price (without sales tax) of the shirt and
the tie together.
Answers
Question :-
Ramesh bought a shirt for 336, including 12% ST and a tie for 110 including 10% ST. Find the list price (without sales tax) of the shirt and the tie together.
Given :-
Ramesh bought a shirt for ₹336,including 12% ST .
Solution :-
Let us assume that, without sales tax the list price is Rs.x .
Then,
→ x + 12% ST = Rs.336
→ x + 12% of x = 336
→ x + (12 * x /100) = 336
→ x + 0.12x = 336
→ 1.12x = 336
→ x = (336 * 100) / 112
→ x = Rs.300
Similarly, it is given that, Ramesh bought a tie for ₹110,including 10% ST .
Let us assume that, without sales tax the list price of tie is Rs.y .
Then,
→ y + 10% ST = Rs.110
→ x + 10% of y = 110
→ x + (10 * y /100) = 110
→ x + 0.1y = 110
→ 1.1y = 110
→ y = (110 * 10) / 11
→ y = Rs.100
Final answer :-
Hence,
The List Price (without sales tax) of the shirt and the tie together is = 300 + 100 = Rs.400