Question

A shopkeeper bought 11 hair clips for Rs10 and sold 10 clips for Rs11. Find his gain or loss percent.
Pls do it with process.​

Answer 1

hello!

Cost Price of 11 hair clips = Rs. 10

CP of 1 hair clip = Rs. 10/11 = Rs. 0.909

SP of 10 hair clips = Rs. 10

SP of 1 hair clip = Rs. 10/10 = Rs. 1

SP>CP, So, there's a gain.

Gain = Rs. 1 - Rs. 0.909 = Rs. 0.091

Gain % = 0.091/0.909 x 100

             = 10.01% ( Ans )

Answer 2

The gain percentage is 21%.

• A shopkeeper bought 11 clips for Rs.10 .

• He sold 10 clips for Rs.11 .
• Cost price of 1 clip will be Rs. $\frac{10}{11}$ .
• Selling price of 1 clip will be Rs. $\frac{11}{10}$ .
• Now the gain percentage is given by

Gain percentage = $\frac{Gain}{Cost\ price}$ × 100

Gain = Selling price - Cost price

• Now Gain = $\frac{11}{10} - \frac{10}{11}$
• Gain percentage = $(\frac{\frac{11}{10} - \frac{10}{11}}{\frac{10}{11} })$ × 100

Gain percentage = $(\frac{121 - 100}{110 } . \frac{11}{10})$ × 100

Gain percentage = 21 %