# A man sold two varieties of his dog for Rs. 3,605 each. On one he made a gain of 15% and on the other a loss of 9%. Find his overall gain or loss.[Hint: Find C.P. of each]

Let x, y be the two varieties of dogs.

Selling price of both the varieties (S.Px , S.Py) is 3605

S.Px , S.Py means selling price of varieties X, Y respectively

C.Px , C.Py means Cost price of varieties X, Y respectively

on selling variety X dog he gets 15% profit which means the selling price is 115% of C.Px

3605 = 115% C.Px

3605 = C.Px

C.Px = = 3134.78

on selling variety Y dog he gets 9% loss which means the selling price is 91% of C.Py

3605 = 91% C.Py

3605 = C.Py

C.Py = = 3,961.53

C.P = C.Px + C.Py

= 3134.78 + 3,961.53 = 7096 (approx.)

S. P = S.Px + S.Py

= 3605 + 3605 = 7,210

Profit = S.P - C.P

= 7,210 – 7,096 = 114 (approx.)

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