Knowee
Questions
Features
Study Tools

How should we mix two rice packets to get one 1kg packet priced at Rs.8 when the prices of 1 kg packets of the two types are Rs.7.1 and Rs.9.2.

Question

How should we mix two rice packets to get one 1kg packet priced at Rs.8 when the prices of 1 kg packets of the two types are Rs.7.1 and Rs.9.2.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we can use the concept of weighted averages.

Let's denote the amount of rice from the first packet as x kg and from the second packet as (1-x) kg (since the total amount of rice is 1 kg).

The weighted average price of the mixed rice packet can be calculated as follows:

7.1x + 9.2(1-x) = 8

Solving this equation for x gives us the proportion of rice from the first packet that should be mixed with the rice from the second packet to get a 1 kg packet priced at Rs.8.

7.1x + 9.2 - 9.2x = 8

2.1*x = 9.2 - 8

2.1*x = 1.2

x = 1.2 / 2.1

x = 0.57 (approximately)

So, to get a 1 kg packet priced at Rs.8, we should mix approximately 0.57 kg of rice from the first packet (priced at Rs.7.1 per kg) with 0.43 kg of rice from the second packet (priced at Rs.9.2 per kg).

This problem has been solved

Similar Questions

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs10 per kg?Options :8:77:95:97:5

How many kg of rice, of cost 9 Rs/kg must be mixed with 27 kg of rice of cost 7 Rs/kgget a gain of 10 % by selling the mixture at 9.24 Rs/kg

A reduction of 20% in the price of rice enables a person to buy 8kg more rice for Rs.400.The original price of rice 2.per kg is *1 point1.202.12.53.104.17.50

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.