Question

if ₹ 2380 are shared among three friends A,b and c in the ratio 3:5:6 find the share of each​

Answer 1

Question :

if ₹ 2380 are shared among three friends A,b and c in the ratio 3:5:6 find the share of each .

Answer :

$\sf\pink {Given :}$

• Amount to be shared is Rs 2380 .

• It is to be shared among a , b and c in the ratio 3:5:6 .

$\sf\pink {To\:find :}$

• Share of each one ?

Explanation :

• Let share of a be 3x .

• share of b be 5x .

• share of c be 6x .

Equation formed = 3x + 5x + 6x = 2380

$\\ \longrightarrow\sf { 8x + 6x = 2380}$

$\\ \longrightarrow\sf { 14x = 2380}$

$\\ \longrightarrow\sf { x = \dfrac {2380}{14}}$

$\\ \longrightarrow\sf { x = 170}$

• Share of a is 3x .

$\\ \longrightarrow\sf { 3\times 170}$

$\\ \longrightarrow\sf { 510}$

• Share of b is 5x

$\\ \longrightarrow\sf { 5\times 170}$

$\\ \longrightarrow\sf { 850}$

• Share of c is 6x

$\\ \longrightarrow\sf { 6\times 170}$

$\\ \longrightarrow\sf { 1020}$

hope it helps you

Answer 2

Gíven :

• If ₹ 2380 are shared among three friends A,b and c in the ratio 3:5:6

To Fínd :

• Share of each.

Solutíon :

✬ Here in the Question It's given that ₹ 2380 are shared among three friends. So, We will let the A's share be 3x, B's share be 5x and C's share be 6x. And total money is ₹ 2380. So, Firstly we will find the value of x and then Put the values of x in the given ratios and then we will get the Share of each.

• Let A's share = 3x

• B's Share = 5x

• C's Share = 6x

According to Question :

⟶ 3x + 5x + 6x = 2380

⟶ 8x + 6x = 2380

⟶ 14x = 2380

⟶ x = 14/2380

⟶ x = 170

Share of each A, B and C

• A's Share = 3x

• A's Share = 3 × 170

• A's Share = ₹ 510

______________________

• B's Share = 5x

• B's Share = 5 × 170

• Bs Share = ₹ 850

______________________

• C's Share = 6x

• C's Money = 6 × 170

• C's Share = ₹ 1020

_______________________

Verífícatíon :

⟶ A's + B's + C's = 2380

⟶ 510 + 850 + 1020 = 2380

⟶ 1360 + 1020 = 2380

⟶ 2380 = 2380

Hence, Verified