Question

Ek bag me 25paisa, 10paisa and 5paisa ke coin 1:2:3 ke ratio me hai. If bag me total 30rupis hai, to bag me 25 paisa ke kitne coins hai?
Options-- a)50 b)100 c)150 d)200

Answer 1

Question:-

⟶ Ek bag me 25paisa, 10paisa and 5paisa ke coin 1:2:3 ke ratio me hai. If bag me total 30rupis hai, to bag me 25 paisa ke kitne coins hai?

To Find:-

⟶ How many Coins in 25 Paisa

Given:-

⟶ 50

⟶100

⟶150

⟶200

Solution:-

⟶There are 25 paise, 10 paise and 5 paise coins in a bag.

⟶Their ratio is 1:2:3

⟶Here total value is Rs. 30

⟶Let exact quantity of coins be x,2x,3x respectively.

Then value of all coins combined:-

$⟶25x + 10(2x) + (5)3x = 60x \: paisa \\ ⟶60x = 30 \times 100 \: paisa \: \\ ⟶ \: x = 50$

Therefore:-

∴ Number of 5 paise coins =3x=150.

Answer 2

Question:-

Ek bag me 25paisa, 10paisa and 5paisa ke coin 1:2:3 ke ratio me hai. If bag me total 30rupis hai, to bag me 25 paisa ke kitne coins hai?

Options-------

a)50

b)100

c)150

d)200

Solution:-

$</p><p>\large{ \underline{ \rm{ \purple{Given:- }}}}$

• Ek bag me 25paisa, 10paisa and 5paisa ke coin 1:2:3 ke ratio me hai.
• Bag me total 30 Rupees hai.

$</p><p>\large{ \underline{ \rm{ \purple{To \: Find:- }}}}$

• Bag me 25 paisa ke kitne coins hai?

$</p><p>\large{ \underline{ \rm{ \purple{Directions:- }}}}$

Let:- [As given dimensions in the question for ratios]

• 25 paise coins as 1x or x.
• 10 paise coins as 2x.
• 5 paise coins as 3x.

${ \pink{ \bigstar}}{ \underline{ \rm{ {Required \: Equation:- }}}}$

$\red{ \boxed{\mathtt{25x+10(2x)+5(3x) = 60x✔}}}$

$\implies \mathtt{25x + 20x + 15x = 60x}$

$\implies \mathtt{60x = 30 \times 100}$

$\implies \mathtt{x = \frac{30 \times 100paise}{60} }$

$\implies \mathtt{x = {5 \times 10}}$

$\implies \mathtt{x = {5 0 \: }}$

$\pink \bigstar{ \rm{ \underline{ So, According \: to \: our \: Equation:- }}}$

• Number of 25 paise coins:- 50=50
• Number of 10 paise coins:- 2×50=100
• Number of 5 paise coins:- 3×50=150.

$\pink {\boxed {\rm{Hence, Number \: of \: 5 \: paise \: coins \: is 150. }}}$