A box contains coins of Rs.10, Rs.20, and Rs.5 respectively in the ratio 4 : 5 : 6. If the total number of coins in the box is 120, then the value of all coins in the box is
- 1160
- 1260
- 1360
- 1420
The Correct Option is C
Solution and Explanation
The ratio of the coins is 4 : 5 : 6. The total number of coins is 120. Let the number of coins be \( 4x \), \( 5x \), and \( 6x \). \[ 4x + 5x + 6x = 120 \] Solve for \( x \): \[ 15x = 120 \quad \Rightarrow \quad x = 8 \] The number of coins for each denomination is:
- Rs.10 coins = \( 4x = 4 \times 8 = 32 \) coins.
- Rs.20 coins = \( 5x = 5 \times 8 = 40 \) coins.
- Rs.5 coins = \( 6x = 6 \times 8 = 48 \) coins.
The total value is: \[ Value = 32 \times 10 + 40 \times 20 + 48 \times 5 = 320 + 800 + 240 = 1360 \] Use the ratio to divide the total number of items and then calculate the value based on the number of items and their respective values.
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