Dinesh distributed his savings among his wife, two sons and one daughter in such a way that wife gets double of what each son gets and each son gets double of what the daughter gets. If the amount received by each son is Rs. 44,742, what was the total amount distributed by Dinesh?

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  1. Rs. 2,01,450
  2. Rs. 2,10,350
  3. Rs. 2,01,339
  4. Rs. 2,10,450
  5. None of these

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Option 3 : Rs. 2,01,339

Given:

Wife gets double of what each son gets and each son gets double of what the daughter gets i.e. 

Wife = 2 × son = 2 × daughter.

Each son gets = Rs. 44742

Concept used:

Here we will be using the fundamental concept of ratio.

Calculation:

Let the amount distributed by Dinesh among his wife, each son and daughter be ‘x’, ’y’ and ’z’ respectively.

Amount received by wife = x = 2y

Amount received by each son = y = 2z = Rs. 44,742

⇒ y = Rs. 44,742 and z = Rs. 22,371

Total amount distributed by Dinesh = x + 2y + z = 2y + 2y + z = 4y + z = 4 × 44742 + 22371 = Rs. 2,01,339

∴ Total amount distributed by Dinesh = Rs. 2,01,339

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