The ratio of number of 2 rupees coins and 5 rupees coins that Maria has is 6 :…
2025
The ratio of number of 2 rupees coins and 5 rupees coins that Maria has is 6 : 11. If the number of 5 rupees coins is halved, then she will have an amount of Rs. 790. How many 2 rupees coins does Maria have?
- A.
84
- B.
108
- C.
120
- D.
220
Attempted by 44 students.
Show answer & explanation
Correct answer: C
Solution:
Let the common factor be T.
Number of 2 rupee coins = 6T.
Number of 5 rupee coins = 11T. After halving the 5 rupee coins, there are 11T/2 coins.
Total value after halving = 2×6T + 5×(11T/2) = 12T + 55T/2 = 79T/2.
Set 79T/2 = 790. Solving gives T = (790×2)/79 = 20.
Number of 2 rupee coins = 6T = 6×20 = 120.
Check: 2×120 + 5×(11×20/2) = 240 + 5×110 = 240 + 550 = 790, which matches the given amount.