A man buys 13.23 kg of one tupe of rice for ₹30 per kg and 15.45 kg of another type of rice for ₹ 67.99 per kg. If he mixes them and makes packets each containing 3450 g of rice, how many such packets of rice are there and what is the cost of each packet?

Given: Weight of type 1 rice = 13.23 kg

Weight of type 2 rice = 15.45 kg

To find: We have to find the number of packets and the cost of each packet.

Solution: 

Total price of type 1 rice = 13.23 x 30 = 396.90 Rs.

Total price of type 2 rice = 15.45 x 67.99 = 1,050.4455 Rs.

Total weight of rice after mixing type 1 and type 2 rice = 13.23 + 15.45 = 28.68 kg

Now to make packets of mix rice each containing 3450 g or 3.45 kg of rice we have to divide total weight by weight of each packet.

Number of packets = $\frac{Total\ weight}{Weight\ of\ each\ packet} \ =\ \frac{28.68}{3.45} \ =\ 8.31$

So, 8 packets can be packed weighing exactly 3.45 kg.

Now price of each packet can be calculated by dividing total price by number of packets.

Total price of type 1 and type 2 rice = Price of type 1 rice + Price of type 1 rice = 396.90 + 1050.4455 = 1447.3455 Rs.

Price of each packet = $\frac{Total\ Price}{Number\ of\ packets} \ =\ \frac{1447.3455}{8} \ =\ 180.92\ Rs$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

56 Views

Kickstart Your Career

Get certified by completing the course

Get Started