Question

Rs 360 were distributed among Ashok, Ashish and Amit in the ratio 2:3:4 . What amount did ashish get?​

Answer 1

Given:

• Rs 360 were distributed among Ashok, Ashish and Amit in the ratio 2:3:4.

To find:

• What amount did ashish get?

Solution:

• Let ashok's amount be 2x & ashish's amount be 3x & amit's amount be 4x.

Here,

• Total amount = Rs 360.

• Let's take x in common.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Let's find x,

→ 2x + 3x + 4x = 360

→ 9x = 360

→ x = 360/9

→ x = 40

Therefore,

• Ashok's amount = 2x = 2 × 40 = Rs 80.
• Ashish's amount = 3x = 3 × 40 = Rs 120.
• Amit's amount = 4x = 4 × 40 = Rs 160.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

∴ Hence, Ashish got 160 rupees.

Answer 2

★ Ashish's share was ₹120.

Step-by-step explanation

Given:-

• A sum of ₹360 was distributed among Ashok, Ashish and Amit in the ratio 2 : 3 : 4.

To find:-

• The amount received by Ashish.

Solution:-

Let us consider the amount received Ashok, Ashish and Amit as 2a, 3a and 4a, respectively.

According to the question, the sum of the amounts given to the three people equals 360. So, we can form the equation:

$\: \: \: \: \: \: \: \: \: \: \underline{ \boxed{ \sf \pmb{2a + 3a + 4a = 360}}}$

If we solve this equation, we can get the value of 'a', so that we will be able to find the required answer. Let's solve the equation!

$\dashrightarrow{ \sf{2a + 3a + 4a = 360}} \\ \\ \dashrightarrow{ \sf{5a + 4a = 360}} \\ \\ \dashrightarrow{ \sf{9a = 360}} \\ \\ \dashrightarrow{ \sf{a =360 \div 9}} \\ \\ \dashrightarrow{ \sf{a = \dfrac{360}{9} }} \\ \\ \dashrightarrow{ \sf{ a = \dfrac{ \cancel9 (40)}{ \cancel9(1)} }} \\ \\ \dashrightarrow{ \sf{a = \dfrac{40}{1} }} \\ \\ \dashrightarrow{ \underline{ \underline{ \sf{a = \tt \pmb{40}}}}}$

The value of 'a' is 40. Now, on substituting this value in the expression formed for the amount received by Ashish:

$\Rightarrow{ \sf{Ashish = 3a}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = 3(40)} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{ = \underline{\boxed{ \sf \pmb{ \red{120}}}}}$

Therefore, the amount received by Ashish is ₹120.

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