Question

A merchant pays duty on certain goods at three different places. At the first place,he gives 1/3rd of the worth of goods,at the second place he gives 1/4th of the remaining amount and at the third place he gives 1/5th of the remaining amount.If the total duty paid by him is Rs 1020,what is the total worth of the goods

Answer 1

at first place he one third of worth of goods

x/3

second place one fourth of remaining amount

1/4 (x - x/3)

= 1/4 (2x/3)

= 2x/12

= x/6

third place one fifth of remaining amount

remaining amount =

x - ( x/3 + x/6)

= x - ( 3x/6)

= x - x/2

= x/2

amount paid = 1/5 ( x/2

= x/10

total amount paid = x/10 + x/6 + x/3

= 3x + 5x + 10x/30.

=18x/30 = 1020

x = 1020 × 30)/18

x= 1700 /- ( total worth of goods)

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