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Select the correct answerA bag Contains 1, 2, 5 Rs coins in ratio 4:8:5 and total amount of 90.Rs. how many 5.Rs coins are there in that bag?Options8101215

Question

Select the correct answer

A bag Contains 1, 2, 5 Rs coins in ratio 4:8:5 and total amount of 90 Rs. how many 5 Rs coins are there in that bag?
Options:

  • 8
  • 10
  • 12
  • 15
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Solution

To solve this problem, we first need to understand the ratio and total amount given.

The ratio of 1 Rs, 2 Rs, and 5 Rs coins is 4:8:5. This means for every 4 coins of 1 Rs, there are 8 coins of 2 Rs and 5 coins of 5 Rs.

The total amount in the bag is 90 Rs.

We can set up an equation to represent the total amount in the bag. Let's denote the number of 1 Rs coins as x, 2 Rs coins as y, and 5 Rs coins as z.

According to the ratio, we have:

x = 4k, y = 8k, z = 5k,

where k is a constant.

The total amount in the bag is represented by:

1x + 2y + 5*z = 90.

Substituting x, y, and z from the ratio equations, we get:

1*(4k) + 2*(8k) + 5*(5k) = 90, 4k + 16k + 25k = 90, 45k = 90.

Solving for k, we get k = 90/45 = 2.

Substituting k = 2 into z = 5k, we get z = 5*2 = 10.

So, there are 10 coins of 5 Rs in the bag.

Therefore, the correct answer is not in the options given.

This problem has been solved

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