10. Ritu bought a set of story books for 345 including 15% sales tax and a calculator for 110including 10% sales tax.
What per cent is the sales tax charged on the whole transaction?
Answers
Answer:
55
Step-by-step explanation:
Let n be the amount spent on books or a calculator before tax. Then
n+.15n=345
1.15n=345
n=300
And
n+.1n=110
1.1n=110
n=100
The total amount of sales tax is (345-300)+(110-100), or 55. ☺☺☺☺
Hi friend,
Solution :-
Let , the price of the story books to be x , and the price of the calculator be y.
VAT = 15% of x
= x × 15/100
= 3x/20
VAT = 10 % of y
= y × 10/100
= y/10
Selling price of story books = x + 3x/20
= 23x/20
S.P of the claculator = y + y/10
= 11y/ 10
But selling price of the books and calculator 345 and r.s 110 respectively.
So,
23x/20 = 345
Or, x = 345× 20/ 23
Or, x = 300
So,
11y/ 10= 110
Or, y = 110 × 10/ 11
Or, y = 100
Therefore , total price = ( 345+ 100 ) = 400
Let , the VAT on whole transaction be r%
So, r × 400 / 100
Or, 4r
Thus , 455 / 4r
Or, r = 13.75
➡ VAT on whole transaction is 13.75%...i hope it helps you