Coin Denominations Calculation
The problem involves finding the value of a specific denomination of coins when the total amount and the number of coins for each denomination are known.
Identify Coin Denominations and Total Value
- Available denominations: Fifty paise (Rs. 0.50), Two rupee (Rs. 2), Five rupee (Rs. 5).
- Total amount in the box: Rs. 1275.
- Condition: Equal number of coins for each denomination.
Set Up the Equation
Let $x$ be the number of coins for each denomination.
The total value can be expressed as:
$ (0.50 \times x) + (2 \times x) + (5 \times x) = 1275 $Calculate the Total Value Factor
Combine the terms involving $x$:
$ x \times (0.50 + 2 + 5) = 1275 $ $ x \times (7.50) = 1275 $Solve for the Number of Coins (x)
Isolate $x$ by dividing the total amount by the combined value factor:
$ x = \frac{1275}{7.50} $ $ x = \frac{12750}{75} $ $ x = 170 $So, there are 170 coins of each denomination.
Calculate the Value of Two Rupee Coins
The value of the two rupee coins is the number of Rs. 2 coins multiplied by their individual value (Rs. 2).
$ \text{Value of Rs. 2 coins} = x \times 2 $ $ \text{Value of Rs. 2 coins} = 170 \times 2 $ $ \text{Value of Rs. 2 coins} = 340 $Therefore, the value of the two rupee coins in the box is Rs. 340.
Important Questions from Ratio and Proportion
- A box containing the denominations of one rupee coins, five rupee coins and ten rupee coins amount to Rs.4320. There are equal number of
coins in all denominations. What is the total number of coins in the box? - The sum of three terms is 14380. The ratio between first term and second term is 14:15 and the ratio between second term and the third term is 16:17. Find the difference between first and last term.
- Three numbers are in the ratio 19:21:23. If the difference between thrice the third number and the sum of first and second number is 841. Find the difference between the first and third number?
- The ratio between the number of males and females in a college is 27:28. If the number of males are increased by 20% and the number of females are increased by 30%, then what will the new ratio of males and females in the college?
- A box containing the denominations of one rupee coins, two rupee coins and ten rupee coins amount to Rs.2730. There are equal number of coins in all denominations. What is the total number of one rupee coins in the box?
