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
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
