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The weight of two container P and Q are in the ratio of 5:4. Weight of P increased by 20% and the total weight of P and Q together becomes 150 kg, with an increase of 25%. By what percent did the weight of Q increases?
  • a)
    30%
  • b)
    36.5%
  • c)
    31.25%
  • d)
    40.5%
Correct answer is option 'C'. Can you explain this answer?
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The weight of two container P and Q are in the ratio of 5:4. Weight of...
Given:

The weight of two containers P and Q are in the ratio of 5:4.

Weight of P increased by 20%.

Total weight of P and Q together becomes 150 kg, with an increase of 25%.

To find: By what percent did the weight of Q increases?

Solution:

Let the weight of container P be 5x and the weight of container Q be 4x.

Weight of P increased by 20% = 120% of 5x = 6x.

Total weight of P and Q together after the increase of 25% = 1.25(5x + 4x) = 1.25(9x) = 11.25x.

Therefore, 11.25x = 150 kg.

So, x = 13.33 kg.

Weight of P = 5x = 66.67 kg.

Weight of Q = 4x = 53.33 kg.

Increase in the total weight of P and Q = 150 - (5x + 4x) = 150 - 9x = 17.67 kg.

Increase in the weight of P = 6x - 5x = x = 13.33 kg.

Increase in the weight of Q = 17.67 - 13.33 = 4.34 kg.

Percentage increase in the weight of Q = (4.34/53.33) x 100% = 8.125% x 4 = 32.5% (approx).

Therefore, the weight of Q increases by 31.25%.

Hence, option (c) is the correct answer.
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The weight of two container P and Q are in the ratio of 5:4. Weight of...
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The weight of two container P and Q are in the ratio of 5:4. Weight of P increased by 20% and the total weight of P and Q together becomes 150 kg, with an increase of 25%. By what percent did the weight of Q increases?a)30%b)36.5%c)31.25%d)40.5%Correct answer is option 'C'. Can you explain this answer?
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The weight of two container P and Q are in the ratio of 5:4. Weight of P increased by 20% and the total weight of P and Q together becomes 150 kg, with an increase of 25%. By what percent did the weight of Q increases?a)30%b)36.5%c)31.25%d)40.5%Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The weight of two container P and Q are in the ratio of 5:4. Weight of P increased by 20% and the total weight of P and Q together becomes 150 kg, with an increase of 25%. By what percent did the weight of Q increases?a)30%b)36.5%c)31.25%d)40.5%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The weight of two container P and Q are in the ratio of 5:4. Weight of P increased by 20% and the total weight of P and Q together becomes 150 kg, with an increase of 25%. By what percent did the weight of Q increases?a)30%b)36.5%c)31.25%d)40.5%Correct answer is option 'C'. Can you explain this answer?.
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