a cloth merchant sold half of his cloth at 40% profit ,half of remaining at 40% loss and the rest was sold at the cost price. in the total transaction his gain or loss will be
A. 20% gain
B. 25% loss
C. 10% gain
D. 15% loss
Answer: Option C
Solution (By Examveda Team)
let there is 100 stock with price cost price Rs.100. total cost is 100*100 = Rs.10000therefore 50 item sold at price 40% profit i.e = 140 * 50 = Rs.7000
⇒ 25 item sold at price 40% loss i.e = 60 * 25 = Rs.1500
⇒ And remaining 25 item sold at cost price i.e = 100 * 25 = Rs.2500
∴ total sell price is 7000 + 1500 + 2500 = Rs.11000(profitable)
∴ Profit % is 10% gain
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Let the Total C.P of cloth be Rs.100.
first half (50) sold at 40% profit= 50*40/100
profit= 20
so, S.P for 1st half = (50+20)= Rs.70
half of remaining(50) of 50% at 40% loss= 25*40/100 *** (50% of 50=25)*
loss= Rs.10
S.P = (25-10)
=Rs.15
and rest( 25) at sold at C.P= Rs.25
total S.P= Rs.(70+15+25)
= Rs. 110
profit= SP-CP
=Rs. 110-100
=Rs.10
so profit% = (profit/CP)*100
=(10/100)*100
=10% (Ans)