Discussion
A box has 210 coins of denomination of 1 rupee and fifty paise only. The ratio of their respective values is 13:11. Then what is the number of one rupee coin?
Answer: B
The number of one rupee coins is 78.
Let there be \(x\) one rupee coins and \(y\) fifty paise coins. Their values are Rs \(x\) and Rs \(0.5y\), in the ratio 13:11:
\[ \begin{aligned} \frac{x}{0.5y} &= \frac{13}{11} \\ y &= \frac{22x}{13} \\ x + \frac{22x}{13} &= 210 \\ \frac{35x}{13} &= 210, \quad x = 78 \end{aligned} \]
Check: 78 one rupee coins and 132 fifty paise coins make 210 coins, worth Rs 78 and Rs 66, and \(78 : 66 = 13 : 11\). The other options fail this check; the ratio is of values, not of numbers of coins.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development