A dealer sells a machine for Rs 22400 and loses 1 by 6th of its cost price . find the cost price of the machine and his Loss percent.
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let the cost price be X
X - 1/6 X = 22400
X/1 - X/6 = 22400
( 6X - X ) ÷ 6 = 22400
5X = 22400 × 6
X = 22400 × 6 ÷ 5
X = 26880
loss = 26880 ÷ 6
= 4480
loss % = { (loss÷total amount)×100 } %
= { (4480÷26880)×100 } %
= 16.66666667 %
Cost Price = 26880
Loss Percent = 16.66666667 %
X - 1/6 X = 22400
X/1 - X/6 = 22400
( 6X - X ) ÷ 6 = 22400
5X = 22400 × 6
X = 22400 × 6 ÷ 5
X = 26880
loss = 26880 ÷ 6
= 4480
loss % = { (loss÷total amount)×100 } %
= { (4480÷26880)×100 } %
= 16.66666667 %
Cost Price = 26880
Loss Percent = 16.66666667 %
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