Question

the cost price of two watches taken together is rupees 840 if by selling one at a profit of 16% and other at a loss of 12% there is no gain or loss in whole transaction then find the CP of each watch

Answer 1

HEy!

Let the CP of watch 1 = Rs x.

CP of 2nd watch = 840-x

SP of 1st watch = 116x/100 [16% profit]

SP of 2nd watch= 88(840-x)/100 [12% loss]

No loss/gain

=> 840 = 116x/100 + 88(840-x)/100

=> 840×100= 116x - 88x + 840×88

=> 84000 = 28x+73920

=> 28x= 84000-73920

=> 28x=10080

=> x=10080/28

=> x=360

CP of 1st watch = 360

CP of 2nd watch= 840-x

= 840-360

=480

HOPE IT HELPS :)))

Answer 2

Explanation:

CP of one watch = x

CP of second watch=(840-x)

SP of first watch= 116x/100

SP of second watch=88/100*(840-x)

So,

116x/100=88/100*(840-x)

1st watch=116x=88×840-88x

204 = 88×840

x=360

each watch=840 -360 =480

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