Problems on Partnership, Mixture and Alligations

Worked out problems on partnership, mixture and alligations are explained here with the step by step explanations. Follow the examples to get a fair idea on how to solve these word problems.

Word problems on partnership, mixture and alligations:

1. In what ratio must a grocer-man mix two varieties of rice @ $2.02/kg and $2.44/kg so as to make a mixture worth $2.26/kg?

Solution:

Quantity of cheaper/Quantity of dearer

= (2.44 – 2.26)/(2.26 – 2.02)

= 0.18/0.24

= 18/24

= 3/4

The above relationship can also be represented as under:

Problems on Partnership Math

Therefore the required ratio = 3 : 4.


2. Three friends X, Y and Z started a business by investing amount in the ratio of 5 : 7 : 6 respectively. After a period of six months Z withdrew half of the amount invested by him. If the amount invested by X is $4000 and the total profit earned at the end of one year is $3300, what is Z’s share in profit?

Solution:

Let the amount invested be 5x, 7x, 6x

5x = 4000

x = 4000/5

Therefore, x = 800

If Y invested 7x then 7 × 800 = 5600

If Z invested 6x then 6 × 800 = 4800

In one year the amount invested by the three friends;

4000 × 12 : 5600 × 12 : 4800 × 6 + 2400 × 6

48000 : 67200 : 28800 + 14400

48000 : 67200 : 43200

Now we will reduce to its lowest terms, divide each by 4800;

10 : 14 : 9

We know, the total profit earned at the end of one year is $3300.

Know we will calculate the Z’s share in profit

= 9/(10 + 14 + 9) × 3300

= 9/33 × 3300

= 9 × 100

= 900

Therefore, Z’s share in profit = $900.


3. A grocer buys two varieties of pulses at $1.80 and $1.20 per kg respectively. In what ratio should these be mixed, so that by selling the mixture at $1.75 per kg., when 25% may be gained by the grocer?

Solution:

Cost price of the mixture of pulses

= (S.P × 100)/(100 + gain %)

= (1.75 × 100)/(100 + 25%)

= 175/125

= $1.40 per kg

Word problems on partnership, mixture

Therefore the required ratio = 0.4 : 0.2 = 2 : 1.

From Problems on Partnership Mixture and Alligations to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Pie Chart | Definition of Pie Chart | Construction |Examples

    Jul 31, 25 05:12 PM

    Pie Chart Circle
    Data can also be represented in a circle. This method, to represent data, is called a pie chart. Let us understand this method with the help of an example.

    Read More

  2. Frequency Distribution |Tally Marks |Frequency Distribution Table

    Jul 31, 25 12:23 PM

    Frequency Table
    What is frequency distribution?The number of times a particular observation occurs in a given data is called its frequency. In 7ᵗʰ grade and 8ᵗʰ grade frequency distribution,

    Read More

  3. 5th Grade Bar Graph | Definition | Interpret Bar Graphs|Free Worksheet

    Jul 31, 25 05:16 AM

    Draw a Vertical Bar Graph
    We learn how to represent the data on the bar graph. Data can be represented by bars (like rectangle) whose lengths represent numerical values. One can use horizontal or vertical bars. Instead of rect…

    Read More

  4. Construction of Bar Graphs | Examples on Construction of Column Graph

    Jul 31, 25 03:35 AM

    What is Bar Graph?
    Now we will discuss about the construction of bar graphs or column graph. In brief let us recall about, what is bar graph? Bar graph is the simplest way to represent a data. In consists of rectangular…

    Read More

  5. Successor and Predecessor | Successor of a Whole Number | Predecessor

    Jul 29, 25 12:59 AM

    Successor and Predecessor
    The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number…

    Read More