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A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at this transac

Home/Math/A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at this transac

A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at this transac

Question

A shopkeeper bought two watches at Rs 500.he sold one at loss of 12%and other at the profit of 8%.he neither gained nor loss at this transaction.Find the cost price

## Answers ( )

Answer:Step-by-step explanation:Let CP of one watch = x

CP of second watch = 500 – x

SP of first watch = (100-12)% of x = 88% of x=0.88x

SP of second watch = (100+8)% of (500 – x) = 108% of (500 – x)

= 1.08*(500 – x) = 1.08*500 – 1.08*x

= 540 – 1.08x

Sp of two watches = 500

0.88x + 540 – 1.08x = 500

-0.20x + 540 = 500

-0.20x = 500 – 540

-0.20x = -40

x = -40/-0.20 = 40*100/20 = 2*100 = 200

CP of first watch = 200

CP of second watch = 500 – 200 = 300