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.​
PLZ GIVE STEP BY STEP EXPLANATION
ans is 388.80

Answer 1

Answer:

388.8

Step-by-step explanation:

110% = 21384

100% = 19440

1% = 194.40

Extra Profit = 10% - 8% = 2%

= 2×194.4 = 388.8 rupees

see image uploaded

Answer 2

Answer:

The extra profit made by the dealer is Rs 388.80

Step-by-step explanation:

Let,

The actual price of article = y

⇒ y + 10% of y = 21,384

⇒ y + 10y / 100 = 21,384

⇒ 110y / 100 = 21,384

⇒ 110y = 21,384 × 100

⇒ 110y = 2138400

⇒ y = 21,38,400 / 110

⇒ y = 19,440 Rs

★ The actual sale price (when sales tax is 8%):

⇒ 19,440 + 8% of 19,440

⇒ 19,440 + 19,440 × 8 / 100

⇒ 20,995.20 Rs

★ Extra profit =

⇒ 21,384 - 20,995.20

⇒ 388.80 Rs

Therefore,

The extra profit made by the dealer is Rs 388.80