Question

A groces purchased 50 kg salt at the rate of Rs.8 per kg and mixed it with 70 kg salt purchased at the rate of Rs.5 per kg. At what rate per kg must he sell the mixture to make a profit of 20%?

Answer 1

Cost price of $50kg$ is $8\times 50=400Rs.$

Cost price of $70kg$ is $5\times 70=350Rs.$

Total weight of salt $50+70=120kg$

Total cost $=400+350=750Rs.$

Cost of $1kg$ is $\frac{750}{120}=\frac{25}{3}=8.33Rs$

Profit $\%=\frac{Profit}{CP}\times 100=20\frac{Profit}{8.33}\times 100=20Profit=20\times \frac{8.33}{100}=1.66$

So He need to sell $1kg$ of salt for $8.33+1.66=10Rs.$