Question

Ramesh has a total of Rs.1000 as currency notes in the denominations of 100, 50 and 10. The ratio of the number of 50 notes and 100 notes is 3:2. If he has a total of 40 notes, how many notes of each denomination does he have? [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 1.5 Marks
Answer: 0.5 Mark each

The number of Rs50 notes and Rs100 notes be 3x and 2x, respectively.

But he has 40 notes in total.

Therefore, the number of Rs 10 notes
$=40–(2x+3x)=40–5x$

The amount he has

From 100 notes: $2x\times 100=200x$

From 50 notes: $3x\times 50=150x$

From 10 notes: $(40–5x)\times 10=(400–50x)$

Hence the total money he has
$=200x+150x+(400–50x)=(300x+400)$

But he has Rs1000. Therefore, $300x+400=1000$

$300x=1000–400=600$

$x=2$

The number of Rs50 notes he has $=3x=3\times 2=6$

The number of Rs100 notes she has $=2x=2\times 2=4$

The number of Rs10 notes she has $=40–5x$

$=40–(5\times 2)=40–10=30$