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
The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is Rs. 2560. This diamond got broken down into two pieces in the ratio of 5 ∶ 9. How much loss percent is incurred due to this breakage ? (Correct to two decimal places)
Atul purchased Bread costing Rs.20 and gave a 100 rupee note to the shopkeeper. The shopkeeper gave the balance money in coins of denomination Rs.2, Rs.5 and Rs.10. If these coins are in the ratio 5 ∶ 4 ∶ 1, then how many Rs.5 coins did the shopkeeper give?
A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
