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Prateek travels from Agra to Delhi to buy goods which he get 10 % cheaper in Delhi

Prateek travels from Agra to Delhi to buy goods which he gets 10 percent cheaper in Delhi than in Agra . if his journey  expenses are Rs. 160.00 and he earns Rs. 240.00 by selling goods at Agra; calculate :
i) the price of the goods at Delhi
and
ii) his profit percent

Solution:

Let the price of goods at Agra is Rs '×'
. ∴ its price at Delhi will be 90 x / 100
His travelling  cost = Rs 160.00
∴ his total cost price, CP = (9x/10 + 160)
Profit = Rs. 240
As per condition, We can write:
x- (9x/10 + 160) = 240
or x- 9x/10 - 160 = 240
or x- 9x/10 = 240 + 160
Or x/10 = 400
∴ x = 4000
i)
∴ Price at Delhi = 9x/10
             = (9 . 4000)10
             = Rs. 3600
ii)
His %age profit = (Profit / CP )x 100
          = (240 / 4000)x 100
           =20 /3 %
           =6 2/3%

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