Question

Gayatri bought 40 bangles at rs 180 each . She sold one fourth of them at a loss of 8% .at what price must she sells the remaining bangels so as to gain 10% on the whole transaction

Answer 1

CP of 40 bangles=40*180=₹7200
Gain%=10%
$sp = \frac{100 + gain\%}{100} \times cp \\ \frac{100 + 10}{100} \times 7200 \\ \frac{110}{100} \times 7200 \\ 72 \times 110 = 7920$
SP=₹7920
SP of one forth=1/4*7200=1800
Loss=8%
$cp = \frac{100}{100 - loss\%} \times sp$
$\frac{100}{100 - 8} \times 1800 \\ \frac{100}{92} \times 1800\\ \frac{25}{23} \times 1800 \\ 1656$