Question

a vendor bought 75kg newspapers at rupees 30 per kg he sold one-third newspaper at the loss of 5%.at what rate should we sell the remaining so that he overall gain is 10%? its answer is 35.25kg please tell steps.

Answer 1

Solution:-

Cost price of 75 kg apples = 75*30
= Rs. 2250
Profit required = 10 %
Profit = (2250*10)/100
Profit = Rs.225 
Total Selling price to get a profit of 10 % = Rs. 2250 + 225 = Rs. 2475
Sold 1 kg of apples at a loss of 5 %
Loss = (30*5)/100
Loss on 1 kg apples = Rs. 1.5
Selling price of 1 kg apples = 30 - 1.5
S.P. of 1 kg apples = Rs. 28.5
Therefore,
he has to sell the remaining apples in Rupees = Rs. 2475 - Rs.28.5
= 2446.5 
Selling price of the remaining 74 kg apples = Rs. 2446.5
Per kg selling price = 2446.5/74
= Rs. 33.06 per kg
So, he has to sell the remaining 74 kg apples at the rate of Rs. 33.06 per kg
to get a profit of 10%