Math, asked by jhumachatterjee1558, 27 days ago

divide ₹10,00 in the ratio 4:5:6 among sita , gita , mita find their amounts

Answers

Answered by snehasishto1996
0

Answer:

Gita = Rs.333.33

Sita = Rs. 266.67

Mita = Rs. 400

Step-by-step explanation:

Sum of the ratios = 4+5+6 =15

part of Sita's = 4/15

part of Gita's = 5/15

part of Mita's = 6/15

therefore, Sita's amount= 1000* 4/15 = Rs. 266.67

Gita's amount= 1000*5/15 = Rs. 333.33

Mita's amount= 1000*6/15 = Rs. 400

Answered by Anonymous
8

Correct question :-

  • Divide ₹1000 in the ratio 4:5:6 among Sita, Gita and Mita find their amounts?

Answer :-

  • Their amounts = 200 , 266.6 and 333.3.

Given :-

  • The ratio of sita, gita and mita = 4 : 5 : 6.
  • Total amount = 1000.

To find :-

  • The value of their amounts.

Step by step explanation :-

Detailed explanation of solution :-

Let's understand :-

We know the ratio of amounts of Sita , Gita and mita. We have to find their amounts by forming an equation by the information given to us.

How to solve?

Let there amounts be 4x , 5x and 6x.

Sum of 4x , 5x and 6x will be 1000.

Calculations :-

So, All there amounts will add up to 1000.

Therefore, Eq will be :-

 \sf 4x + 5x + 6x = 1000

Adding 4x , 5x and 6x,

\sf15x= 1000

Now, Transposing 15 from LHS to RHS, Changing the sign from (×) to (÷).

\sf x=  \dfrac{1000}{15}

Dividing 1000 by 15,

\sf x = 66 \dfrac{2}{3}

So, The value of x is 66.6

Therefore, Their amounts are as follows :-

4x = 4 × 66.6 = 266.6

5x = 5 × 66.6 = 333.4

6x = 6 × 66.6 = 400

Thus, The amounts of Sita , Gita and mita are 200 , 266.6 and 333.3.

Verification :-

To check our answer , let's add the value of their amounts and see whether we get 1000.

266.6 + 333.4 + 400 = 1000.

The angles add up to 1000,

Hence, Verified!

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