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In a piggy bank the number of 25 paise coins is five times the number of 50 paise coins. If there are 120 coins, find the amount in the bank.
  • a)
    Rs. 25
  • b)
    Rs. 10
  • c)
    Rs. 35
  • d)
    Rs. 40
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a piggy bank the number of 25 paise coins is five times the number ...
Let the number of 50 paise coins be x. 
⇒ 25 paise coins = 5x
Given that total coins = 120 
⇒ x + 5x = 120 
⇒ 6x = 120 
⇒ x = 120/6 = 20 
∴ 50 paise coins = 20
⇒ Amount = 20×50 p = Rs. 10
Value of 25 paise coins = 25p × 5 × 20
= 25p × 100 = Rs. 25
Total amount Rs. (25 + 10) = Rs. 35
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In a piggy bank the number of 25 paise coins is five times the number ...
Problem Analysis:

We are given that the number of 25 paise coins is five times the number of 50 paise coins. We are also given that the total number of coins in the piggy bank is 120. We need to find the total amount of money in the bank.

Let the number of 50 paise coins be x. Then, the number of 25 paise coins will be 5x, as given in the question. Therefore, the total number of coins in the piggy bank is:

x + 5x = 6x

We are also given that the total number of coins is 120. Therefore, we have:

6x = 120

Solving for x, we get:

x = 20

Therefore, the number of 50 paise coins is 20 and the number of 25 paise coins is 5x = 100.

Solution:

The total amount in the piggy bank can be found by adding up the value of all the coins. The value of one 25 paise coin is 0.25 and the value of one 50 paise coin is 0.50. Therefore, the total amount in the piggy bank is:

20 x 0.50 + 100 x 0.25 = 10 + 25 = Rs. 35

Therefore, the correct option is (c) Rs. 35.
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In a piggy bank the number of 25 paise coins is five times the number ...
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In a piggy bank the number of 25 paise coins is five times the number of 50 paise coins. If there are 120 coins, find the amount in the bank.a)Rs. 25b)Rs. 10c)Rs. 35d)Rs. 40Correct answer is option 'C'. Can you explain this answer?
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