Question

the cp of two watches taken together is rupees 840 . if by selling one at a profit of 16 percent and the other at a loss of 12 percent ,there is no gain or loss in the whole transaction then find the cp of each watch​

Answer 1

Answer:

480

Step-by-step explanation:

Let the cost of one watch=x Rs.

Then cost of second watch=(840-x) Rs.

Then according to the question

16% of x=12% of (840-x)

⇒

100

16

×x=

100

12

×(840−x)

⇒

100

16x

=

100

12×840

−

100

12x

⇒

100

16x

+

100

12x

=

100

12×840

⇒28x=12×840

⇒x=

28

12×840

=360Rs.

Hence ,cost of one watch=360 Rs

Cost of another watch=840-360=480 Rs.

Answer 2

Answer:

480 rs.

Explanation:

Let the cost of one watch=x Rs.

Then cost of second watch=(840-x) Rs.

Then according to the question

16% of x=12% of (840-x)

⇒

100

16

×x=

100

12

×(840−x)

⇒

100

16x

=

100

12×840

−

100

12x

⇒

100

16x

+

100

12x

=

100

12×840

⇒28x=12×840

⇒x=

28

12×840

=360Rs.

Hence ,cost of one watch=360 Rs

Cost of another watch=840-360=480 Rs.