Question

on selling a tea set at 5% loss and a lemon set at 15% gain coma A shopkeeper gains rupees 70 . if he sells the tea at 5% gain and lemon set at 10% gain he gets rupees 130 full stop find the cost price of the lemon set.
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Answer 1

Answer:

Let C.P of tea set =x and lemon set =y

ATP,

100

15

×y−

100

5

×x=70

⇒3y−x=70×20

⇒

3y−x=1400

⟶(1)

Again,

100

5

×x+

100

10

×y=130

⇒x+2y=130×20

⇒

x+2y=2600

⟶(2)

Substituting x from equation (1) in equation (2)

3y−1400+2y=2600

⇒5y=4000

⇒y=800