Question

A purse contains rs 455 in the form of 1, 2, 5 rupee coins in the ratio 2 : 4 : 5. What is the number of 2 rupee in the purse

Answer 1

Answer:

52

Step-by-step explanation:

Let the number of 1, 2 and 5 rupee coins be 2y, 4y and 5y

Total value of 1 rupee coin = value of one coin x number of coins

                                             = Rs 1 x 2y

                                             = Rs 2y

Similarly, total value of 2 rupee coin = Rs 2 x 4y =Rs 8y

And total value of 5 rupee coin = Rs 5 x 5y = Rs 25y

Total values of all coins put together = Rs (2y + 8y + 25y)

                                                                = Rs 35y

According to question, Total value = Rs 455

Hence, 35y = 455

         ⇒ y = 455/35 = 13

Thus, number of 2 rupee coin = 4y = 4 x 13 = 52

CHECK:

Number of 2 rupee coin = 52

Number of 1 rupee coin = 2y  = 26

Number of 5 rupee coin = 5y = 65

Value of 2 rupee, 1 rupee and 5 rupee coin would be Rs 104, Rs 26 and Rs 325 respectively

Total value = Rs ( 104 + 26 = 325) = Rs 455

which satisfies the total value given in the question.

Answer 2

Answer:

52 Ans.

Step-by-step explanation:

Let there be 2x, 4x, 5x coins of 1 rupee, 2 rupee and 5 rupee respectively.

2x × (1) + 4x × (2) + 5x × (5) = 455

2x + 8x + 25x = 455

35x = 455

x = 13

Number of 2 coins = 4 × 13

= 52

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