Question

a man purchased 10 pens. He sold 5 pens at 25% profit and the remaining pens at 50/3 loss. if he received rs 625 in total, find the cost price of each pen​

Answer 1

Let CP = Total Cost price

SP = Selling price .

Case 1 :

5 pens at 25 % profit

SP = 1.25 CP

Case 2 :

Remaining 5 pens = Rs 50 each

Loss = 50 / 3 %

SP = 5 × 50 = 250 .

CP of remaining 5 pens is different from other 5 pens sold at 25 % Profit .

SP at 25 % Profit + SP at 3% loss = 625

1.25 CP + 250 = 625

1.25 CP = 625 - 250 = 375

CP = 375 / 1.25 = 300

1.25 ( 300 ) + 250 = 625

375 + 250 = 625.

So , 5 pens sold at 25 % Profit

SP = Rs 375

CP = Rs 300

CP of 1 pen = 300 / 5 = 60

SP of 1 pen = 75 .

Remaining 5 pens :

SP = 50

CP with 3% is

SP = 0.97 CP

= 5 ( 50 )

= 250.

CP = 250 / 0.97

= 257 . 732

CP of 1 pen = 257 . 732 / 5

= 51.55

SP at 25% profit = 1.25CP

= 1.25 ( 300 )

= 375

SP at 3% loss = 250

Total SP = 375 + 250 = 625

Total CP = 300 + 257 . 732 = 557 . 732

CP of 1 pen = 557 . 732 / 10 = 55.77.

Answer 2

HERE IS YOUR ANSWER MATE.....;

Let CP= total cost price and SP is the selling price.

Let CP= total cost price and SP is the selling price.For 5 pens at 25% profit, SP=1.25CP

SP at 25% profit +SP at 3% profit loss=625

SP at 25% profit +SP at 3% profit loss=6251.25CP+ 250 =625

SP at 25% profit +SP at 3% profit loss=6251.25CP+ 250 =6251.25CP=625–250= 375

SP at 25% profit +SP at 3% profit loss=6251.25CP+ 250 =6251.25CP=625–250= 375CP= 375/1.25=300

SP at 25% profit +SP at 3% profit loss=6251.25CP+ 250 =6251.25CP=625–250= 375CP= 375/1.25=3001.25(300)+ 250=625

HOPE IT'S HELPFUL.....:-)