Question

A man buys two bat one for rupees 1360 and another for rupees 1040. he sells the first bat at gain of 15% and the second bat at loss of 15%. find hos gain or loss percent in whole transaction.

Answer 1

cost price of the first bat = 1360

gain percentage = 15%

so selling price

= cost price + gain percentage = 1360 + 15% = 1360 + 204= 1564

cost price of the  second bat = 1040

loss percentage = 15%

so selling price

= cost price - loss percentage = 1040 - 15% = 1040 - 156 =884

total cost price amount = 1360 + 1040 = 2400

total sales amount = 1564 + 884 = 2448  

here sales > cost..

sp profit exsts..

proft = sales - cost= 2448 -2400 = 48

profit or gain percentage = gain / cost price = (48 / 2400)*100 = 2..

so the gain percentage = 2%

Answer 2

C. P. Of 1st bat = ₹1360
Gain = 15%

S. P. = C. P. (100+ gain % / 100)
= 1360 (115 / 100)
= ₹1564
Now, C. P. Of 2nd bat = ₹1040
Loss = 15 %
S. P. = C. P. (100 - loss% / 100)
= 1040(85 / 100)
= ₹884

Therefore, total C.P. of both bats = ₹1360+1040
= ₹2400
Now, total S.P. of both bats = ₹1564 +884
= ₹2448
Here, S. P. >. C. P.
So, profit = S. P. - C. P.
= ₹2448 - 2400
= ₹48
Now, profit% = profit/C.P. x 100
= 48/ 2400 x 100
= 2%

Therefore, profit = 2%