A man divides Rs. 846 among his two sons and a daughter in the ratio o

1.	A man divides Rs. 846 among his two sons and a daughter in the ratio of (1/4) : (1/5) : (1/3). What is the share of his daughter?1. Rs. 3402. Rs. 3503. Rs. 3604. Rs. 380
Answer» Correct Answer - Option 3 : Rs. 360 Given : The total amount distributed by the man = Rs. 846 The ratio of shares of his two sons and a daughter = (1/4) : (1/5) : (1/3) Calculation : Let the ratio of shares of his two sons and a daughter be x, y and z respectively According to the question, x : y : z = (1/4) : (1/5) : (1/3) To convert it into a simple ratio multiply LCM of 4, 5 and 3 Now, L.C.M. of (4, 5, 3) = 60 So, x : y : z = (60/4) : (60/5) : (60/3) ⇒ 15 : 12 : 20 Again, according to the question, x + y + z = 846 ⇒ (15 + 12 + 20) unit = 846 ⇒ 47 unit = 846 ⇒ 1 unit = 18 Daughter's share = 20 unit ⇒ 20 × 18 ⇒ Rs. 360 ∴ The share of his daughter is Rs. 360.

A man divides Rs. 846 among his two sons and a daughter in the ratio of (1/4) : (1/5) : (1/3). What is the share of his daughter?1. Rs. 3402. Rs. 3503. Rs. 3604. Rs. 380

Answer» Correct Answer - Option 3 : Rs. 360

Given :

The total amount distributed by the man = Rs. 846

The ratio of shares of his two sons and a daughter = (1/4) : (1/5) : (1/3)

Calculation :

Let the ratio of shares of his two sons and a daughter be x, y and z respectively

According to the question,

x : y : z = (1/4) : (1/5) : (1/3)

To convert it into a simple ratio multiply LCM of 4, 5 and 3

Now, L.C.M. of (4, 5, 3) = 60

So, x : y : z = (60/4) : (60/5) : (60/3)

⇒ 15 : 12 : 20

Again, according to the question,

x + y + z = 846

⇒ (15 + 12 + 20) unit = 846

⇒ 47 unit = 846

⇒ 1 unit = 18

Daughter's share = 20 unit

⇒ 20 × 18

⇒ Rs. 360

∴ The share of his daughter is Rs. 360.

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