Question

A shopkeeper sells an article for 21,384
including 10% tax. However, the actual rate
of Tax is 8%. Find the extra profit made by
the dealer.​

Answer 1

Answer:

ANSWER EXPLANATION: There are two ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the fraction). When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The other option which is longer and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and

Answer 2

Step-by-step explanation:

Then x+10%ofx=21384

⇒x+

100

10x

=21384

⇒x+

10

x

=21384

⇒

10

11x

=21384

⇒x=

11

213840

=Rs.19440

Actual rate of tax=8%

∴ S.P after tax=19440+8%of19440

⇒19440+

100

8

×19440

⇒19440+1555.2=Rs.20995.20

Profit made by shopkeper=21384−20995.20=Rs.388.80

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