Question

Q3) A piece of furniture costs 600 before GST. Assuming GST is 12 percent find the total
amount of money.
please solve me​

Answer 1

Ok, so this question involves two parts, meaning that the "amount of money", consists of two parts:

i) Original cost = 600

ii) GST(general sales tax) = 12/100*x, which is the original cost.

Now, either we can solve this question directly/indirectly. So, for ease, and effectivity, let's solve it both ways.

Indirect approach:

We, in this, have to basically find out, both the cost, and gst separately.

i) Cost=600

ii) GST= 12/100*x(600)

=12/100*600

=12*6

=72

So, GST is 72. Now

iii) Final cost= GST+ Original Cost

=72+600

=672

or, we can find the final cost itself, through:

Direct approach:

To carry out this way, we have to combine both the parts, mentioned above, so we don't have to solve them separately. Instead, the best way to execute out this combination, is that we, find out something commonly found within them, mentioned in the question, so that on it's basis, we can combine them, (results will be same on the basis of the connection, which characterizes their originality, and so has an effect upon them rightfully) and this "common quality", is here; their percentages.

Here's how to do it.

i) GST, includes 12/100 percentage of the original cost. So we can assume that the original cost is 100 itself (100 percent, since we are using its' reference).

Accordingly, now we can add their percentages, (since their denominators are the same), and since a fair change in the percentage, will eventually result in the change of cost, and since their proportions are equally the same.

It will be something like this;

100(original cost)+12(GST cost)/100 * 600.

Since we have to remember that the base value, is here 600, the original cost, so it is also apparent, now that since the percentage of GST is being added onto the value of original cost. This is another way of executing out the numerical combination that they sum upto(100/100, is being added onto , or "increased" by 12/100)

100+12=112

=112/100*60

The answer stays the same, i.e: 672.