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%