Question:
The number of coins of Rs.1, Rs.5, and Rs.10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs.5 coins is:
The number of coins of Rs.1, Rs.5, and Rs.10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs.5 coins is:
Show Hint
To find the percentage of a specific denomination, calculate its contribution to the total value and multiply by 100.
Updated On: Jan 22, 2025
- \( 21\% \)
- \( 14\frac{2}{7}\% \)
- \( 10\% \)
- \( 30\% \)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Let the number of coins be proportional to \( 5x, 3x, 13x \).
Total amount: \[ 5x \cdot 1 + 3x \cdot 5 + 13x \cdot 10 = 5x + 15x + 130x = 150x. \]
Value contributed by Rs.5 coins: \[ 3x \cdot 5 = 15x. \]
Percentage of total amount: \[ \frac{15x}{150x} \times 100 = 10\%. \] Final Answer: \[ \boxed{10\%} \]
Total amount: \[ 5x \cdot 1 + 3x \cdot 5 + 13x \cdot 10 = 5x + 15x + 130x = 150x. \]
Value contributed by Rs.5 coins: \[ 3x \cdot 5 = 15x. \]
Percentage of total amount: \[ \frac{15x}{150x} \times 100 = 10\%. \] Final Answer: \[ \boxed{10\%} \]
Was this answer helpful?
0
0
Top GATE CS General Aptitude Questions
- A person sold two different items at the same price. He made 10% profit in one item and 10% loss in the other item. In, selling the person made a total of
- The value of x in given series is
6, 9, 14, x, 30, 41 - log \([\frac{x+y}{2}]=\frac{1}{2}\) (log x+log y) the value of \(\frac{x}{y}+\frac{y}{x}\) is
- A cube is to be cut into 8 pieces of equal size and shape Here each cut should be straight and it should not stop till it reaches the other end of the cube The minimum number of such cuts required?
- Increasing order of the intensity
Walk → Jog → Sprint
Bothered →? Daunted
View More Questions
Top GATE CS Questions
- Which of the following sequences when stored in an array at locations A[1],..., A[10] forms a max-heap?
- The Lucas sequence Ln is defined by the recurrence relation: Ln = Ln−1 + Ln−2, for n ≥ 3, with L1 = 1 and L2 = 3. Which one of the options given is TRUE?
- Which of the following fields of IP header is/are always modified by any router before it forwards to IP Packet ?
- Which one of the following CIDR profix exactly represent the range of IP addresses 10.12.2.0 to 10.12.3.255?
- Consider an ethernet segment whose transmission is \(10^8\) bits per second. Maximum segment length \(500\ m\), speed of the provocation media velocity is \(2 × 10^8\) meter per second. What is the minimum frame size in bits ?
View More Questions