a shopkeeper sells an article for 21384 including 10% tax However , the actual rate of tax is 8%. Find the extra profit made by the dealer.
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given that a shopkeeper sells an article for Rs 21384 including 10 % tax.
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let the actual price of article be ' Rs x '
price of article including 10 % tax
=Rs 21384
x + 10 % of x = 21384
x + 10 / 100 x = 21384
x + 0.1 x = 21384
x ( 1 + 0.1 ) = 21 384
1 .1 x = 21 384 => x = Rs 19440
x = actual price = Rs 19440
given that actual rate of tax is 8 % ,
price of article including 8 % tax
= x + 8 % of x
= 19440 + 8 % of 19440
= 19440 + 0.08 × 19440
= 19440 + 1555.5 = Rs 20995.2
extra profit made by the dealer
=Rs 21384 - Rs 20995.2 = Rs 388.8
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Your Answer : Rs 388.8
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________________________
let the actual price of article be ' Rs x '
price of article including 10 % tax
=Rs 21384
x + 10 % of x = 21384
x + 10 / 100 x = 21384
x + 0.1 x = 21384
x ( 1 + 0.1 ) = 21 384
1 .1 x = 21 384 => x = Rs 19440
x = actual price = Rs 19440
given that actual rate of tax is 8 % ,
price of article including 8 % tax
= x + 8 % of x
= 19440 + 8 % of 19440
= 19440 + 0.08 × 19440
= 19440 + 1555.5 = Rs 20995.2
extra profit made by the dealer
=Rs 21384 - Rs 20995.2 = Rs 388.8
_______________________________
Your Answer : Rs 388.8
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