Question

solve this problem.

Answer 1

Let the cost price of the tea set be x.

Let the cost price of the lemon set be y.

Given that on selling a tea set at 5% loss and a lemon set at 15% gain a crockery seller gains 7.

 - 5x/100 + 15y/100 = 7

-x/20 + 3y/20 = 7

-x + 3y = 20 - 7

-x + 3y = 140   --------------- (1)


Given that he sells tea set at 5% gain and the lemon set at 10% gain, he gains 13%.

5x/100 + 10y/100 = 13

x/20 + y/10 = 13

LCM = 20.

x + 2y = 20 * 13

x + 2y = 260   ------------- (2)


On solving (1) & (2), we get

x + 2y = 260

-x + 3y = 140

----------------------------

5y = 400

y = 80.


Substitute y = 80 in (2), we get

x + 2y = 260

x + 2(80) = 260

x + 160 = 260

x = 260 - 160

x = 100.


Therefore the actual price of each of the tea set = 100 rupees.

                  the actual price of each of the lemon set = 80 rupees.



Hope this helps!