Question

• Raju has an amount of 120 rupees and Mary has 180 rupees.

A) What is the ratio of the amounts Mary and Raju have ?

B) Mother gave 60 rupees more to Mary. How much more money Raju needed to make the same ratio ?

C) If they divide 800 rupees in the same ratio, how much amount did each get ?​

Answer 1

Answer : (a) Amount of Marry's money/ amount of Raju's money

180/120= 3:2 ans.

(b) total amount now marry have = 180+ 60= 240

60 rs ans.

(c) 400rs.

Answer 2

Mary gets 480 rupees and Raju gets 320 rupees.

• Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio. The letter ":" in this context means "is to." Therefore, "17 is to 13" represents the proportion of those who prefer to walk to those who prefer to cycle.
• Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Here, according to the given information, we are given that,

Raju has an amount of 120 rupees and Mary has 180 rupees.

Then, the ratio of the amounts Mary and Raju = $\frac{180}{120} = \frac{3}{2}$ = 3:2.

Now, Mother gave 60 rupees more to Mary. Then, Mary now has, 240 rupees. Then, $\frac{240}{120} = 2:1$.

Now, let the more money Raju needs is x.

Then, $\frac{3}{2+x} =\frac{2}{1}$

Or, 4+2x = 3

Or, x = -0.5

Now, let Mary has 3x and Raju has 2x.

Then, 5x = 800

Or, x = 160.

Then, Mary gets 480 rupees and Raju gets 320 rupees.

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