Question : A sum of INR 1,50,000 is distributed among three persons - A, B, and C - so that they receive 20%, 30% and 50%, respectively. A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30%, and 20%, respectively. Find the total amount received from both sums of money, by B.
Option 1: INR 58,000
Option 2: INR 60,000
Option 3: INR 55,000
Option 4: INR 63,000
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Correct Answer: INR 63,000
Solution :
Given: A sum of INR 1,50,000 is distributed among three persons - A, B, and C - so that they receive 20%, 30%, and 50%, respectively.
A receive the amount = $\frac{20}{100}\times 150000=$ INR 30,000.
B receive the amount = $\frac{30}{100}\times 150000=$ INR 45,000.
C receive the amount = $\frac{50}{100}\times 150000=$ INR 75,000.
A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30%, and 20%, respectively.
⇒ INR 30,000 is 50% of the total money.
The second amount is INR 60,000.
Moreover, B gets 30% of the second sum.
= $\frac{30}{100}\times 60000=$ INR 18,000
The total amount received from both sums of money, by B = INR 45000 + INR 18000
= INR 63,000.
Hence, the correct answer is INR 63,000.
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