Question

A man sells $2$ wrist watches at Rs. $594$ each . On $1$ watch he gains $10\%$ and on other he losses $10\%$. Find his gain or loss $\%$ on the whole.

Answer 1

Total selling price:

1 watch = Rs 594

2 watches = 594 x 2 = Rs 1188

The cost price of the one he gains 10%:

Gain = 10%

Selling Price = Cost Price + Gain

Selling Price = 100 + 10 = 110%

110% = Rs 594

1% = 594 ÷ 110 = Rs 5.40

100% = 5.40 x 100 = Rs 540

The cost price of the one he loses 10%:

Loss = 10%

Selling Price = Cost Price - Loss

Selling Price = 100 - 10 = 90%

90% = Rs 594

1% = 594 ÷ 90 = Rs 6.60

100% = 6.6 x 100 = Rs 660

The total cost price:

Total cost price = 540 + 660 = Rs 1200

The profit / loss :

Since Rs 1200 > Rs 1188

⇒ Cost Price > Selling Price

⇒ It is a Loss

Loss = 1200 - 1188 = Rs 12

The Loss percentage:

Loss Percentage = Loss/Cost Price x 100

Loss Percentage = 12/1188 x 100 = 1%

Answer: There is a loss of 1%