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A certain amount of money is divided among nine brothers. The second brother gets Rs. 2 more than twice the amount given to the first brother. The third brother gets Rs.3 more than thrice the amount given to the first brother, and so on till the ninth brother. If the ratio of the amount with the ninth brother to the amount with the first brother is 10 : 1, how much did the fifth brother get (in Rs.)?
  • a)
    50           
  • b)
    80         
  • c)
    90         
  • d)
    75
Correct answer is option 'A'. Can you explain this answer?
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A certain amount of money is divided among nine brothers. The second b...
Let's assume that the amount given to the first brother is x rupees.

The second brother gets Rs. 2 more than twice the amount given to the first brother. So, the second brother receives (2x + 2) rupees.

The third brother gets Rs. 3 more than thrice the amount given to the first brother. So, the third brother receives (3x + 3) rupees.

Similarly, we can find the amounts received by the fourth, fifth, sixth, seventh, eighth, and ninth brothers:

- The fourth brother receives (4x + 4) rupees.
- The fifth brother receives (5x + 5) rupees.
- The sixth brother receives (6x + 6) rupees.
- The seventh brother receives (7x + 7) rupees.
- The eighth brother receives (8x + 8) rupees.
- The ninth brother receives (9x + 9) rupees.

Given that the ratio of the amount with the ninth brother to the amount with the first brother is 10:1, we can write the equation:

(9x + 9) / x = 10 / 1

Cross-multiplying, we get:

9x + 9 = 10x

Simplifying, we find:

9 = x

So, the amount given to the first brother is 9 rupees.

Now we can calculate the amount received by the fifth brother:

(5x + 5) = (5 * 9 + 5) = 45 + 5 = 50 rupees.

Therefore, the fifth brother received 50 rupees.

Hence, the correct answer is option A) 50.
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A certain amount of money is divided among nine brothers. The second brother gets Rs. 2 more than twice the amount given to the first brother. The third brother gets Rs.3 more than thrice the amount given to the first brother, and so on till the ninth brother. If the ratio of the amount with the ninth brother to the amount with the first brother is 10 : 1, how much did the fifth brother get (in Rs.)?a)50b)80c)90d)75Correct answer is option 'A'. Can you explain this answer?
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