on selling and exhaust fan for rupees 7350 a man gains 1.6 of its cost price find the cost price of the fan
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Let the cost price of the fan be Rs.'x'
So the gain in selling the fan is (1/6)x
Therefore the gain percentage is [{(1/6)x}/x]*100 = (1/6)*100 = 16.67(approx.)
So the gain percentage is 16.67%
Alternative method
Let the cost price of the fan be Rs.'x'
The gain is (1/6)x
So the selling price of the fan is x+(1/6)x=(7/6)x
But the selling price of the fan is Rs.1288.
Therefore (7/6)x = 1288
or x = 1104
So the cost price of the fan is Rs.1104
Therefore the gain is = selling price - cost price = Rs.1288 - Rs.1104 = Rs.184
So the gain in percentage is=(gain/cost price)*100=(184/1104)*100=16.67%(approx.)
So the gain in selling the fan is (1/6)x
Therefore the gain percentage is [{(1/6)x}/x]*100 = (1/6)*100 = 16.67(approx.)
So the gain percentage is 16.67%
Alternative method
Let the cost price of the fan be Rs.'x'
The gain is (1/6)x
So the selling price of the fan is x+(1/6)x=(7/6)x
But the selling price of the fan is Rs.1288.
Therefore (7/6)x = 1288
or x = 1104
So the cost price of the fan is Rs.1104
Therefore the gain is = selling price - cost price = Rs.1288 - Rs.1104 = Rs.184
So the gain in percentage is=(gain/cost price)*100=(184/1104)*100=16.67%(approx.)
vaibhav110:
Is this sahi
Gain = x6
Selling price = Rs.7350
So we have;
Cost price + Gain = Selling price
⇒x+x6 = 7350⇒7x6 = 7350⇒x = 7350×67 = 6300
Therefore the cost price of an exhaust fan is Rs.6300.
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