Question

Saraswati collage purchase a computer for their lab . The discount of 10% was given on the printed price of computer . Rate of GST charged was 18% purchase price for computer is Rs 47,790 . Find the printed price of comptur​

Answer 1

:CGST = Rs 4050

Step-by-step explanation:

Printed price = Rs 50000

Discount given on printed price = 10 %

Discount = (10/100) * 50000 = Rs 5000

Price after Discount = 50000 - 5000

= Rs 45000

18% GST was charged on Discounted price (Rs 45000)

CGST if applicable = (1/2)GST = (1/2)* 18 = 9 %   (CGST = Central GST , SGST = State GST and GST = CGST + SGST applicable in case of same state)

9% CGST 0n Rs 45000 = (9/100) * 45000

= Rs 4050

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Answer 2

$Let \: printed \: price \: of \: a \\computer =Rs\:x$

$Discount (d) = 10\%$

$Selling \:price = x \left( \frac{100-d}{100} \right)\\= x\left( \frac{100-10}{100}\right) \\= x \times \frac{9}{10}\\= \frac{9x}{10} \:---(1)$

$GST \:(t)= 18\%$

$purchase \:price = Rs \:47790 \:(given)$

$\implies s.p + GST = 47790$

$\implies s.p\left( \frac{100+t}{100}\right) = 47790$

$\implies \frac{9x}{10} \left( \frac{100+18}{100}\right) =47790$

$\implies \frac{9x}{10} \left( \frac{118}{100}\right) =47790$

$\implies x = \frac{ 47790 \times 10\times 100}{9 \times 118 } \\= Rs \:45000$

Therefore.,

$\red{ Printed \: price \: of \: the \: computer }$

$\green { = Rs \:45000 }$

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