Question

a shopkeeper brought 11 hair clips for rup 10 and sold 10 for rup 11 find his loss and gain percent

Answer 1

Hello friend,

CP of 11 hair clips = ₹ 10
CP of 1 hair clip = ₹10/11

SP of 10 hair clips = ₹ 11
SP of 1 hair clip = ₹11/10

Since,
SP > CP,
Gain is done.

Now,
Gain on 1 hair clip,

$= \frac{11}{10 } - \frac{10}{11} \\ = \frac{121 - 100}{110} \\ = \frac{21}{110}$
Now,
Gain ℅,
(Gain/CP)×100

$( \frac{21}{110} \div \frac{10}{11} ) \times 100 \\ = ( \frac{21}{110} \times \frac{11}{10} ) \times 100 \\ = \frac{21}{100} \times 100 \\ = 21\% \: gain$
Hope it helps.