Question

₹1480 is in denominations of ₹10, ₹20 and ₹50. The ratio of ₹10 and ₹20 is 5:6. If there are a total of 60 notes, then the number of ₹50 is

• A. 20
• B. 24
• C. 16
• D. 8

Answer 1

The correct option is C 16

Let the number of ₹10 and ₹20 notes be $5x$ and $6x$ respectively.
Therefore, the number of ₹50 notes is $[60-(5x+6x\left)\right]=60-11x.$

Hence, the total amount is
$5x\times 10+6x\times 20+(60-11x)\times 50=50x+120x+3000-550x=-380x+3000$

According to the given data,
$-380x+3000=1480\Rightarrow -380x=1480-3000\Rightarrow x=\frac{-1520}{-380}\Rightarrow x=4$

Number of ₹50 notes $=60-11x=60-11\times 4=60-44=16$

$\therefore$ Number of ₹50 notes = 16.