A bag contains Rs. 90 in the form of coins of one rupee, 50p & 25p. The number of 50p coins is one third of the number of 25p coins & four times the number of one rupee coins. What is the total number of coins in the bag?

A bag contains Rs. 90 in the form of coins of one rupee, 50p & 25p. The number of 50p coins is one third of the number of 25p coins & four times the number of one rupee coins. What is the total number of coins in the bag? Correct Answer 255

Let the number of 50p coins be x

Number of 25p coins = 3x

Number of 1 rupee coins = x/4

0.50x + 0.25(3x) + (x/4)1 = 45

1.5x = 90 ⇒ x = 60

Total number of coins = 4x + x/4 = 255

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Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right