Coin Denominations Calculation
Let the number of coins for each denomination (one rupee, two rupee, and ten rupee) be '$x$'. This is because the problem states there are an equal number of coins in all denominations.
Setting Up the Equation
The total value of the coins can be represented by summing the value of each denomination multiplied by the number of coins:
Value from one rupee coins = \( 1 \times x \)
Value from two rupee coins = \( 2 \times x \)
Value from ten rupee coins = \( 10 \times x \)
The total amount is given as Rs. 2730. So, the equation is:
\( (1 \times x) + (2 \times x) + (10 \times x) = 2730 \)
Solving for the Number of Coins
Combine the terms on the left side of the equation:
\( 1x + 2x + 10x = 2730 \)
\( 13x = 2730 \)
Now, solve for '$x$' by dividing both sides by 13:
\( x = \frac{2730}{13} \)
\( x = 210 \)
Determining the Number of One Rupee Coins
Since '$x$' represents the number of coins for each denomination, and we need the total number of one rupee coins, the answer is '$x$'.
Total number of one rupee coins = \( x = 210 \)
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.
- A box containing the denominations of fifty paise coins, two rupee coins and five rupee coins amount to Rs. 1275. There are equal number of coins in all denominations. What is the value of two rupee coins in the box? (In Rs.)
- 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?
