Question

in a bag there are coins of 25p 10p 5 price in the ratio of 1 is to 2 is to 3 if there is rupees 30 in all how many 5 paise coins are there in a bag ​

Answer 1

$\huge\bold\red{\underline{Solution:}}$

$\large{\underline{\purple{\rm{Given:}}}}$

The ratio of the coins=1:2:3

The coins are 25p 10p 5p.

The sum of coins=Rs.30

$\large{\underline{\red{\rm{To\:Find:}}}}$

The number of 5p coins

$\large{\underline{\green{\rm{Let:}}}}$

The ratio of number of coins be X

The number of 25p coins=X

The number of 10p coins=2X

The number of 5p coins=3X

$\large{\underline{\red{\rm{As\:per\: above\: information:}}}}$

At first convert the coins into Rs and multiple by their ratio of the number

⟹Sum of all coins=total rupees

$\bold{\implies \frac{25}{100}*X+\frac{10}{100}*2X+\frac{5}{100}*3X=30}$

$\bold{\implies \frac{X}{4}+\frac{X}{5}+\frac{3X}{20}=30}$

$\bold{\implies \frac{5X+4X+3X}{20}=30}$

$\bold{\implies \frac{12X}{20}=30}$

$\bold{\implies\cancel{12}X=\cancel{600}}$

$\bold\pink{\implies X=50}$

Hence,

The number of 5p coin's=3×50=150

Answer 2

Correct Question:

In a bag there are coins of 25paise, 10paise and 5 paise in the ratio of 1 is to 2 is to 3. If there is rupees 30 in all, how many 5 paise coins are there in a bag?

Given:

• A bag containing coins of 25 paise, 10 paise and 5 paise in ratio 1:2:3
• Total of ₹30 is present in the bag

To Find:

• Number of 5 paise in the bag

Solution:

It is given that 25 paise, 10 paise and 5 paise are present in the ratio of 1:2:3 in the bag

So,

Let the number of ​25 paise coins be x, 10 paise coins be 2x and 5 paise coins be 3x

We know that,

• 25paise can be written as ₹25/100 or ₹0.25

• 10paise can be written as ₹10/100 or ₹0.1

• 5paise can be written as ₹5/100 or ₹0.05

According to the question,

0.25(x)+0.1(2x)+0.05(3x)= 30

0.25x+0.2x+0.15x= 30

0.6x= 30

$\sf{x= \dfrac{30}{0.6}}$

$\sf\pink{x= 50}$

So,

Number of 5paise coins=3x=3(50)=150

Hence, there are total 150 coins of 5 paise.