By selling a purse for ₹250,Ranjana loses one-sixth of what it cost her.Find the cost price of the purse and her loss percentage
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let the cost price be X
X + 1/6 X = 250
X/1 + X/6 = 250
( 6X - X ) ÷ 6 = 250
5X = 250 × 6
X = 250÷5×6
X = 300
loss = 300÷6
= 50
loss% = { ( loss ÷ cost price ) ×100 } %
= { ( 50 ÷ 300 ) ×100 } %
= 16.666666667 %
Cost Price = 300
Loss % = 16.666666667 %
X + 1/6 X = 250
X/1 + X/6 = 250
( 6X - X ) ÷ 6 = 250
5X = 250 × 6
X = 250÷5×6
X = 300
loss = 300÷6
= 50
loss% = { ( loss ÷ cost price ) ×100 } %
= { ( 50 ÷ 300 ) ×100 } %
= 16.666666667 %
Cost Price = 300
Loss % = 16.666666667 %
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