Question

10.
Divide 1380 among Atul, Ravi and Kishan, so that the amount Atul receives is 5 times as much as
Kishan's share and is 3 times as much as Ravi's share.​

Answer 1

$\huge \mathfrak \green{ÀÑẞWÉR}$

$let \: kishan's \: share \: be \: RS x .$

$Then \: atul's \: share =RS \: 5x$

$Ravi's \: share =total \: amount-(kishan's \: share + atul's \: share)$

$rs \: (1380 - (x + 5x) = rs \: (1380 - 6x)$

$\red{it \: is \: given \: that \: atul's \: share \: is \: three \: times \: Ravi's \: share}$

$= 5x = 3(1380 - 6x)$

$= 5x = 4140 - 18x$

$= 5x + 18x = 4140$

$= 23x = 4140$

$= x = \frac{4140}{23} = 180$

kishan's share =RS 180

Atul's share RS (5 ×180)= RS 900

Ravi's share =RS (1380 - 6×180) RS 300

$\red{i \: hope \: it \: helpfull \: for \: you}$

Answer 2

Answer:

• Atul's share = 900 Rs.
• Kishan's share = 180 Rs.
• Ravi's share = 300 Rs.

Step-by-step explanation:

Let,

Kishan's share = x

Atul's share = 5x

★ According to question :

Ravi's share = (total amount - Kishan's share + Atul's share)

➨ Rs 1,380 - x + 5x

➨ Rs 1,380 - 6x

Atul's share is 3 times as much as Ravi's share = 5x = 3 (Rs 1,380 - 6x)

So,

➨ 5x = 4140 - 18x

➨ 5x + 18x = 4140

➨ 23x = 4140

➨ x = 4140 / 23

➨ x = 180

Kishan's share = 180

Atul's share = 5x

➨ 5 (180) = 5 × 180

➨ 900

Ravi's share = 1,380 - 6x

➨ 1,380 - 6 (180)

➨ 1,380 - 6 × 180

➨ 300

Therefore,

• Atul's share = 900 Rs.

• Kishan's share = 180 Rs.

• Ravi's share = 300 Rs