Coin Ratio Calculation
The problem states the ratio of the *number* of coins for ₹1, ₹5, and ₹10 denominations is 5:3:13. Let the number of coins be $5x$, $3x$, and $13x$ respectively, where $x$ is a common multiplier.
Value Calculation
Next, we calculate the total monetary value for each denomination:
- Value of ₹1 coins: $5x \times ₹1 = ₹5x$
- Value of ₹5 coins: $3x \times ₹5 = ₹15x$
- Value of ₹10 coins: $13x \times ₹10 = ₹130x$
Total Amount Determination
The total amount of money is the sum of the values from all denominations:
Total Amount = $₹5x + ₹15x + ₹130x = ₹150x$
Percentage of ₹5 Coins
To find the percentage of the total amount that is in ₹5 coins, we use the formula:
Percentage = $\frac{\text{Value of ₹5 coins}}{\text{Total Amount}} \times 100\%$
Substituting the values:
Percentage = $\frac{₹15x}{₹150x} \times 100\%$
Percentage = $\frac{15}{150} \times 100\%$
Percentage = $\frac{1}{10} \times 100\%$
Percentage = $10\%$
Therefore, the percentage of money in ₹5 coins is 10%.
Important Questions from Ratio and Proportion
If the ratio of three numbers A, B and C is 2 ∶ 3 ∶ 5, and the sum of the squares of these numbers is 3800, then the value of C is:
A bag contains ₹310 in the form of 5 rupee, 2 rupee and 1 rupee coins in the ratio 4 ∶ 3 ∶ 5. What is the number of 5 rupee coins?
The ratio of three numbers is 3 ∶ 5 ∶ 4 and the sum of their squares is 11250. Find the sum of the numbers.
When 'x' is subtracted from each of the numbers 22, 39, 56 and 107, then the resulting numbers, in this order, are in proportion. What is the mean proportional between (x + 3) and (3x - 7)?
The salaries of Ravi and Sumit are in the ratio 4 ∶ 5. If the salary of each is increased by Rs. 6,000 the new ratio becomes 35 ∶ 40. What will be Sumit's increased salary?
