Question

Q8) An amount is distributed amongst pinki and dheeraj in 3:7 if dheeraj got 240 rs extra then how much will be the total amount​.

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Answer 1

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The total amount is Rs 600.

Step-by-step explanation:

Given that:

• An amount is distributed among Pinki and Dheeraj in the ratio of 3 : 7.
• Dheeraj got 240 rupees extra.

To Find:

• How much will be the total amount.

Let us assume:

• Pinki's share = x
• Dheeraj's share = x + 240
• Finding the value of x:

According to the question.

⟶ x/(x + 240) = 3/7

Cross multiplication.

⟶ 7x = 3(x + 240)

⟶ 7x = 3x + 720

⟶ 7x - 3x = 720

⟶ 4x = 720

⟶ x = 720/4

⟶ x = 180

∴ The value of x = 180

Finding the total amount:

Total amount = Pinki's share + Dheeraj's share

Total amount = x + x + 240

Total amount = 180 + 180 + 240

Total amount = 600

• ∴ The total amount = Rs 600

_________________________

Answer 2

$\bf{\underline{\overline{\pink{Given :-}}}}$

• An amount is distributed amongst pinki and dheeraj in 3:7 if dheeraj got 240 rs.

$\bf{\underline{\overline{\purple{Solution :-}}}}$

Now,

⟼ y/y + 240 = 3/7

⟼ 7y = 3(y + 240)

⟼ 7y = 3y + 720

⟼ 7y - 3y = 720

⟼ 4y = 720

⟼ 720/4 = y

⟼ 180 = y

∴ The value of y = 180

Finding the total amount:

Total amount = Pinki's share + Dheeraj's share

Total amount = y + y + 240

Total amount = 180 + 180 + 240

Total amount = 600

⛬ The total amount is 600.