Question

By selling a table for rs 675 a carpenter loses 10 % . If he sells it for rs 825 , find his gain or loss per cent

Answer 1

Selling price - (i) = Rs 675
Loss % = 10%

Cost price = $SP( \frac{100}{100-L} )$  (Where L is Loss percent)

Cost price = $675( \frac{100}{100-10} )$ 

Cost price = $675( \frac{100}{90} )$

Cost Price = Rs   750

Now the new selling price = Rs 875

Profit = 875 - 750 = Rs 125

Profit % = (p/CP)*100
              = (125/750)*100
              = 0.167*100  (Approximately)
              = 16.7%   (Approximately)

Answer 2

Step-by-step explanation:

SP of the table = Rs.675

Loss% = 10%

CP = 100×SP/100-L%

= 100×675/100-10

= Rs.750

CP = Rs.750

SP = Rs.825

Since, SP>CP,

Therefore Gain = Rs.(825-750)

Rs.75

Therefore Gain % = P/CP × 100%

=7/750 × 100%

=10%

Hence his Gain% is 10%.