Question

if 3900 rupees is to be divided among Ramesh Rajesh and Ravi in the ratio of 1/2 :1/3 :1/4 and then find the share of rajesh​

Answer 1

Given,

Total money = Rs. 3900

Ramesh : Rajesh : Ravi = ½ : ⅓ : ¼

To find,

The share amount of Rajesh.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, three people get = Rs. x/2 , Rs x/3 , Rs x/4

(Assume x be the multiplication factor which we have multiplied with the given ratio to get the money amounts of individuals.)

According to the data mentioned in the question,

x/2 + x/3 + x/4 = 3900

(6x+4x+3x)/12 = 3900

13x = 46800

x = 3600

Share of Rajesh = x/3 = 3600/3 = Rs. 1200

Hence, share of Rajesh is Rs. 1200

Answer 2

SOLUTION

GIVEN

3900 rupees is to be divided among Ramesh Rajesh and Ravi in the ratio of 1/2 : 1/3 : 1/4

TO DETERMINE

The Share of Rajesh

EVALUATION

Here the it is given that 3900 rupees is to be divided among Ramesh Rajesh and Ravi in the ratio of 1/2 : 1/3 : 1/4

So the given ratio

$\displaystyle \sf{ = \frac{1}{2} : \frac{1}{3} : \frac{1}{4} }$

Now we simplify the ratio

$\displaystyle \sf{ = \frac{1}{2} : \frac{1}{3} : \frac{1}{4} }$

$\displaystyle \sf{ = \frac{12}{2} : \frac{12}{3} : \frac{12}{4} }$

$\displaystyle \sf{ = 6 : 4 :3 }$

Share ratio of Rajesh

$\displaystyle \sf{ = \frac{4}{6 + 4 + 3} }$

$\displaystyle \sf{ = \frac{4}{13} }$

Hence share amount of Rajesh

$\displaystyle \sf{ = 3900 \times \frac{4}{13} }$

$= 1200$

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