Question 97
A lady buys some pencils for Rs.3 and equal number for Rs. 6. She sells them for Rs. 7. Find her gain of loss %
Let the Lady buys x number of pencils for Rs. 3.
Cost price for one pencil, CP1 = Rs. 3x
Also, she buys same number of pencils for Rs. 6
∴ Cost price for one pencil, CP2 = Rs 6x
Now, total pencils = x + x = 2x.
She sells, 2x pencils = Rs. 7
∴ Selling price of 1 pencil = Rs. 72x
Case I We know that, Gain = SP - CP
∴ Gain = Rs. (72x−3x)=Rs.(7−62x)=Rs.12x∴Gain%=GainCP×100=12x3x×100=1002×3=50%3
Case II
Also, we know that,
Loss = CP - SP
Loss = 6x−72x=6×2−72x=Rs.52x∴ Loss%=LossCP×100=52x6x×100=2506=1253%∴Net Loss%=1253−503=753=25%