Question

Shruti bought a set of cosmetic items for 345 including 15% sale tax and a purse for 110 including 10% sale tax. what percent is the sale tax charged on the whole transactioj

Answer 1

Hi friend,

Solution :-

Let , the price of the cosmetic items to be x , and the price of the purse be y.

VAT = 15% of x

= x × 15/100
= 3x/20

VAT = 10 % of y
= y × 10/100
= y/10

Selling price of cosmetic items = x + 3x/20

= 23x/20
S.P of the purse = y + y/10
= 11y/ 10


But selling price of the cosmetic and purse 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