A furniture dealers sold furniture for Rs 21,000 and added 5% S.T. to

1.	A furniture dealers sold furniture for Rs 21,000 and added 5% S.T. to the quoted price. The pay for the same item if the ST is reduced to 6%.
Answer» Given S.P = 21,000, Sales tax = 5%, Discount = ? S.P = C.P + 5% of S.T on C.P 21,000 = x + \(\frac{5x}{100}\) 21000 = \(\frac{105x}{100}\) x = \(\frac{2100\times100}{105}\)= 20000 Customer buys it for 21,000 ∴ Tax paid = 1000 Let the discount be y% ∴ \(\frac{20000}{100}y\) = 1000 y = \(\frac{1000}{200}\) = 5%

A furniture dealers sold furniture for Rs 21,000 and added 5% S.T. to the quoted price. The pay for the same item if the ST is reduced to 6%.

Answer»

Given S.P = 21,000, Sales tax = 5%, Discount = ?

S.P = C.P + 5% of S.T on C.P

21,000 = x + \(\frac{5x}{100}\)

21000 = \(\frac{105x}{100}\)

x = \(\frac{2100\times100}{105}\)= 20000

Customer buys it for 21,000

∴ Tax paid = 1000

Let the discount be y%

∴ \(\frac{20000}{100}y\) = 1000

y = \(\frac{1000}{200}\) = 5%