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Sunny Distributed his wealth among his 2 sons and 3 daughters in the ratio 3 : 13. if the youngest son gets twice the amount than older son, and every daughter gets thrice as much amount than its just elder sister. If the total money is Rs. 4000000, then what is the difference between amount received by youngest daughter and oldest son?

Sunny Distributed his wealth among his 2 sons and 3 daughters in the ratio 3 : 13. if the youngest son gets twice the amount than older son, and every daughter gets thrice as much amount than its just elder sister. If the total money is Rs. 4000000, then what is the difference between amount received by youngest daughter and oldest son? Correct Answer Rs. 2000000

Given:

Sunny Distributed his wealth among his 2 sons and 3 daughters in the ratio 3 : 13

Ratio of Youngest son to oldest son = 2 : 1

Ratio of Amount of 3 daughters in the arrangement oldest to youngest = 1 : 3 : 9

Total Money =  Rs. 4000000

Concept Used:

We need to equate the desired ratios to the amount given.

Calculation:

Total Sum = (3 + 13) = 16 Units

⇒ 16 Units = Rs. 4000000

⇒ 1 Unit = 4000000/16 = Rs. 250000

Sum received by Sons =  3 Units

⇒ Sum received by Sons = 3 × 250000 =  Rs. 750000

Sum received by daughters = 13 Units

⇒ Sum received by daughters = 13 × 250000 = Rs. 3250000

Sum received by daughters in the ratio 1 : 3 : 9

Sum received by youngest daughter = (9/13) × 3250000

⇒ Sum received by youngest daughter = Rs. 2250000

Sum received by sons in the ratio 2 : 1

Sum received by oldest son = (1/3) × 750000

⇒ Sum received by oldest son = Rs. 250000

Difference between amount received by youngest daughter and oldest son = (2250000 - 250000)

⇒ Difference between amount received by youngest daughter and oldest son = Rs. 2000000

∴ The Difference between amount received by youngest daughter and oldest son is Rs. 2000000

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