Question

Rachel bought a pair of sandals for 900
at 18% GST and a leather bag for 3500
at 28% GST. Calculate the percent of tax
charged on the whole transaction.​

Answer 1

Answer:

Percent of tax charged is,

$\frac{902.913}{4400}\times 100= 20.52\%$

Step-by-step explanation:

In the question,

The price of a pair of sandals = 900 Rs.

This price includes GST = 18%

The price of Leather bag = 3500 Rs.

This price includes GST = 28%

So,

Let us say the price of the sandals without GST is = x

So,

$x+\frac{18}{100}x=900\\\frac{118x}{100}=900\\x=762.711\ Rs.$

Therefore, the Price of the sandals without GST = 762.711 Rs.

GST = 137.288 Rs.

Also,

Let us say the price of the Leather bag = y

So,

$y+\frac{28}{100}y=3500\\\frac{128y}{100}=3500\\y=2734.375\ Rs.$

Therefore, the price of the leather bag without GST = 2734.375 Rs.

GST = 765.625 Rs.

Therefore, the Total tax charged = 137.288 + 765.625 = 902.913 Rs.

So,

The percent of tax charged is given by,

$\frac{902.913}{4400}\times 100= 20.52\%$

Answer 2

Step-by-step explanation:

In the question,

The price of a pair of sandals = 900 Rs.

This price includes GST = 18%

The price of Leather bag = 3500 Rs.

This price includes GST = 28%

So,

Let us say the price of the sandals without GST is = x

So,

\begin{gathered}x+\frac{18}{100}x=900\\\frac{118x}{100}=900\\x=762.711\ Rs.\end{gathered}

x+

100

18

x=900

100

118x

=900

x=762.711 Rs.

Therefore, the Price of the sandals without GST = 762.711 Rs.

GST = 137.288 Rs.

Also,

Let us say the price of the Leather bag = y

So,

\begin{gathered}y+\frac{28}{100}y=3500\\\frac{128y}{100}=3500\\y=2734.375\ Rs.\end{gathered}

y+

100

28

y=3500

100

128y

=3500

y=2734.375 Rs.

Therefore, the price of the leather bag without GST = 2734.375 Rs.

GST = 765.625 Rs.

Therefore, the Total tax charged = 137.288 + 765.625 = 902.913 Rs.

So,

The percent of tax charged is given by,

\frac{902.913}{4400}\times 100= 20.52\%

4400

902.913

×100=20.52%