Question

A grocer purchased 50 kg salt at the rate of Rs 8 per kg and mixed it with 70kg 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

Hint: To deal with this sort of problem we are going to utilize the below steps so that we can make our solution as straightforward as possible and that will be useful to spare our significant time.
SP = CP + Profit
\[profit\,\,\% = \dfrac{{profit}}{{\cos t}} \times 100\]

Given: A grocer purchased 50 kg salt at the rate of Rs 8 per kg and mixed it with 70kg salt purchased at the rate of Rs 5 per kg.

Complete step-by-step answer:
When we are solving this type of question, we need to follow the steps provided in the hint part above.
Here cost of 50 kg salt = Rs 400 ( 1 kg = Rs. 8 )
cost of another 70 kg salt = Rs 350 ( 1 kg = Rs. 5)
Total cost = 400 + 350 = Rs. 750
Profit desired = 20%
∴ \[\begin{array}{l}
profit = \dfrac{{20}}{{100}} \times 750 = 150\\
SP{\rm{ }} = {\rm{ }}CP{\rm{ }} + {\rm{ }}Profit\\
profit\,\,\% = \dfrac{{profit}}{{\cos t}} \times 100
\end{array}\]
SP = CP + Profit
∴ SP of (50+70)kg Salt = 750 + 150 = Rs. 900
SP of 1 kg = \[ = \dfrac{{900}}{{120}}\left( {\dfrac{{Total\,\,Sp}}{{Total\,\,quantity\,\,of\,\,salt}}} \right)\]

SP of 1 kg Salt = Rs. 7.50
∴ To make a profit of 20% the salt should be sold for Rs. 7.50/kg.
Hence after following the each and every step given in the hint part, we obtained our final answer.
Additional Information:
Here we can clearly see that in this solution we did not use any complicated process because we followed basic and simple things in the right order as per given in the above hint sec.

Note: In this problem, it is profit which is given, if it was loss which was given, we would have done Cost price-selling price and calculated the percentage.