Question

a shopkeeper purchased 60 kg of apples at Rs 120 per kg . he sold 25 kg of it at a gain of 15% and 20 kg at a loss of 8% . at what rate per kg should he sell the remaining apples to gain 10% on total money invested

Answer 1

Cost price per kg of apples = Rs.120
Cost price of 60 kg of apples = $120\times 60$ = Rs.7200
So, total amount invested = Rs.7200
To get a profit of 10% of total amount invested, Selling price should be = $7200+7200\times \frac{10}{100}$ = Rs.7920
Now, cost price of 25 kg of apples = $120\times 25$ = Rs.3000
Gain = 15%
So, selling price of 25 kg of apples = $3000+3000\times \frac{15}{100}$ = Rs.3450
And, cost price of 20 kg of apples = $120\times 20$ = Rs.2400
Loss = 8%
So, selling price of 20 kg of apples = $2400-2400\times \frac{8}{100}$ = Rs.2208
So,Amount of apples to be sold = 60 kg - (25kg + 20 kg) = 15 kg
To get a profit of 10 %, Selling price of 15 kg of apples = Rs.7920 - (Rs.3450 + Rs.2208) = Rs.2262
Therefore, selling price per kg of apples to be sold = $\frac{2262}{15}$ = Rs.150.80