Question

Ranjith bought a computer for Rs. 37,760 which includes GST of 18%. find the marked price of the computer​

Answer 1

ANSWER :

• ❖ If Ranjit bought a computer for Rs. 37,760 which includes GST of 18%; then the marked price of the computer is Rs. 32,000.

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SOLUTION :

❒ Given :-

• Cost price of the computer after GST was added = Rs. 37,760

• Rate of GST = 18%

❒ To Find :-

• Market Price of the computer = ?

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❒ Calculation :-

Suppose,

• Marked price of the computer = Rs. x

It is given that,

• Cost price of the computer after 18% GST was added = Rs. 37,760

According to question,

• Rs. x + 18% of Rs. x = Rs. 37,760

By solving it, we get,

• x + 18% of x = 37,760

⇒ x + ( $\rm{\dfrac{18}{100}}$ × x ) = 37,760

⇒ x + $\rm{\dfrac{18x}{100}}$ = 37,760

⇒ $\rm{\dfrac{100x + 18x}{100}}$ = 37,760

⇒ $\rm{\dfrac{118}{100}}$ = 37,760

⇒ 118x = 37,760 × 100

⇒ 118x = 37,76000

⇒ x = $\rm{\dfrac{37,76000}{118}}$

∴ x = 32,000

• Hence, the marked price of the computer is Rs. 32,000.

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❍ Calculation of Amount of GST adddd :-

We have,

• Cost Price of the computer after GST added = Rs. 37,760

• Marked Price of the computer before GST added = Rs. 32,000

∴ Amount of GST added = Cost Price - Marked Price

➨ Amount of GST added = Rs. 37,760 - Rs. 32,000

➨ Amount of GST added = Rs. 5,760

Or,

We have,

• Marked Price of the computer = Rs. 32,000

• Rate of GST = 18%

∴ Amount of GST added = 18% of Rs. 32,000

➨ Amount of GST added = 18% × Rs. 32,000

➨ Amount of GST added = $\rm{\dfrac{18}{100}}$ × Rs. 32,000

➨ Amount of GST added = Rs. 5,760