Question

Ahmed, Batuk and Chand share $1000 in the ratio 8: 7 :5. Calculate the amount each receives.

Answer 1

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

___________________

Answer 2

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 :-

$\dashrightarrow \sf8x + 7x + 5x = 1000$

$\sf\dashrightarrow 20x = 1000$

$\sf\dashrightarrow x = \cancel{\dfrac{1000}{20} }$

$\dashrightarrow \underline{ \boxed{\sf x = 50}}$

Hence, the shares of all the three persons are as follows :-

$\rm Ahmed's \: share = 8x = 8 \times 50 = 400.$

$\rm Batuk's \: share = 7x = 7 \times 50 = 350.$

$\rm Chand's \: share = 5x = 5 \times 50 = 250.$

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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!