Question

Neha Chaudhary bought some goods for Rs.10000. She sold half of the goods at
a loss of 25%. At what percent of profit should she sell the remaining goods so
that she gets a gain of 38% on the whole transaction?
1) 75% 2) 85% 3) 101%
4) 105% 5) None of thes

Answer 1

Solution :-

Total cost price = Rs. 10000
Cost Price of half of the goods = 10000/2 = Rs. 5000

Total S. P. for the profit of 38 % = (10000*138)/100
= Rs. 13800

Amount of loss on selling half of the goods = (5000*25)/100
= Rs. 1250

S.P. of the half of the goods which sold on 25 % loss = Rs. 5000 - Rs. 1250
= Rs. 3750

Required Selling Price of the remaining goods = 13800 - 3750
= Rs. 10050

Required Gain = 10050 - 5000
= Rs. 5050

Required gain percent = (Profit*100)/Cost Price
= (5050*100)/5000
= 101 %

So, to get a gain of 38 % on the whole transaction, she needs to sell the remaining goods at 101 %.

The option (3) is correct.