Ahmed, Batuk and Chand share $1000 in the ratio 8: 7 :5. Calculate the amount each receives.
Answers
Solution
Given :-
- Total share of Ahmed, Batuk and Chand share = $1000
- share ratio of ahmed , batuk and chand = 8:7:5
Find :-
- Seperate amount of each condidate .
Explantion
Let,
- Share of ahmed be 8x
- Share of batuk be 7x
- Share of chand be 5x
According to question,
( Total share of Ahmed, Batuk and Chand share $ 1000)
Thats means,
==> ( Share of ahmed + Share of batuk + Share of chand ) = 1000
keep seperate share value of condidate
==> 8x + 7x + 5x = 1000
==> 20x = 1000
==> x = 1000/20
==> x = 100/2
==> x = 50
Now, Calculate separate share value of each condidate
First Calculate share of ahmed
==> Share value of ahmed = 8x
Where,
- x = 50
Then,
==> Share value of ahmed = 8 × 50
==> Share Value of ahmed = $ 400
Now, Calculate share of batuk
==> Share value of batuk = 7x
Where
- x = 50
==> Share value of batuk = 7 × 50
==> Share value of batuk = $ 350
And,
Now, Calculate share of chand
==> Share Value of chand = 5x
Where,
- x = 50
==> Share value of chand = 5 × 50
==> Share value of ahmed = $ 250
Hence
- Share value of ahmed = $ 400
- Share value of batuk = $ 350
- Share value of chand = $ 250
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Answer Verification
we know,
( Share of ahmed + Share of batuk + Share of chand ) = 1000)
keep here , share value of ahmed , batuk ,chand
==> 400 + 350 + 250 = 1000
==> 1000 = 1000
L.H.S. = R.H.S.
That's Proved
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Answer :-
- Ahmed receives $400.
- Batuk receives $350.
- Chand receives $250.
To find :-
- The amount Ahmed, Batuk and Chand receive.
Step-by-step explanation :-
- Here, it is given that Ahmed, Batuk and Chand share $1000 in the ratio 8 : 7 : 5. We have to calculate the amount each person receives.
Let :-
- Ahmed's share be "8x".
- Batuk's share be "7x".
- Chand's share be "5x".
Then :-
Hence, the shares of all the three persons are as follows :-
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Verification :-
- To check our answer, let's add the shares of Ahmed, Batuk and Chand and see whether the total amount is Rs 1000.
Ahmed's share = $400.
Batuk's share = $350.
Chand's share = $250.
Now,
- $400 + $350 + $250 = $1000.
Hence verified!