Junko sold an item for ₹ 220 at a loss of 12%. By how much should she have raised the
price to make a profit of 10%?

Given sp=220 and loss=12%

$$CP =\frac{ ( SP \times 100 ) }{ ( 100 -percentage   loss)}$$

$$CP =\frac{ ( 220 \times 100 ) }{ ( 100 -12)}$$

$$CP =\frac{ ( 22000 ) }{ ( 88)}$$

so, the CP 250 Rs

now the new profit is 10% and cp is 250 Rs

and we have to find by how much amount as compared to earlier the SP will be more so as to gain profit of 10%.

 $$SP = [\frac{100 + Gain\%}{  100}] \times{CP}$$

$$SP = [\frac{(100 + 10)}{  100}] \times{250}$$

$$SP = \frac{(110)}{  100} \times{250}$$

so SP= 275 Rs

now increase in amount= 275-220 = 55 Rs