Question

Lily sold a tea set for ₹4,914 at a profit of 5 percent to her friend, Chetna. At what price did lily purchase the tea set?

Plz solve process by process ​

Answer 1

Answer:

Let the cost of the tea set = x and the cost of lemon set = y

If he sells a tea set at 5% loss and lemon set at 15% gain

⇒loss on a tea set=x×

100

5

⇒gain on lemon set=y×

100

15

⇒

100

15

y−

100

5

x=7

⇒15y−5x=700

⇒−x+3y=140(i)

If he sells a tea set at 5% gain and the lemon set at 10 % gain, total gain = 13Rs

⇒

100

5

x+

100

10

x=13

⇒5x+10y=1300...(ii)

Now multiplying eq 1 from 5 and adding eq 2 will get

⇒−5x+15y=700

⇒5x+10y=1300

⇒25y=2000

⇒y=80

Now putting y = 80 in eq 1 will get

⇒−x+3×80=140

⇒−x+240=140

⇒−x=−100

⇒x=100