Question

The total cost price of two watches is ` 840. One is sold at a profit of 16% and the other at a loss of 12%. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains, is

Answer 1

Answer:360 Rs

Step-by-step explanation:

Take 16 & 12 as ratios of

as the two are sold at no p or loss

16%A Cp¹ = 12% B Cp²

Answer 2

Answer:

Rs.360

Step-by-step explanation:

The total cost price of two watches is 840.

Let the CP of watch 1 be x

So, CP of watch 2 = 840-x

Watch 1 case:

CP = x

Profit% = 16%

Profit=$\frac{16}{100}(x)$

Watch 2 case:

CP =  840-x

Loss% = 12%

Loss= $\frac{12}{100}(840-x)$

Since There is no loss or gain in the whole transaction.

So, Profit = Loss

$\frac{16}{100}(x)=\frac{12}{100}(840-x)$

$x=360$

So, The cost price of the watch on which the shopkeeper gains, is Rs.360