Question

In a bag there are some 50 paisa coins, 25 coins, 10 paisa coins in ratio 2:2:5. If total value is 50. Number of 10 paisa coins are

Answer 1

Number of 10 paisa coins are 125

Step-by-step explanation:

Let,

The coins be x

50 paisa coins = 2x

25 paisa coins = 2x

10 paisa coins = 5x

Total Value in the bag = Rs. 50

Rs. 1 = 100 Paisa

★ Rs. 50 =

⇒ 50 × 100

⇒ 5,000 Paisa

★ According to the question:

⇒ (50 × 2x) + (25 × 2x) + (10 × 5x) = 5,000

⇒ 100x + 50x + 50x = 5,000

⇒ 200x = 5,000

⇒ x = 5,000 / 200

⇒ x = 25

__________________________

★ 50 paisa coins = 2x :

⇒ 2 (25)

⇒2 × 25

⇒ 50

50 paisa coins = 50

__________________________

★ 25 paisa coins = 2x

⇒ 2 (25)

⇒2 × 25

⇒ 50

25 paisa coins = 50

__________________________

★ 10 paisa coins = 5x

⇒ 5 (25)

⇒ 5 × 25

⇒ 125

10 paisa coins = 125

Therefore,

Number of 10 paisa coins are 125

__________________________

★ Verification:

50 paisa coins = 50

⇒ 50 coins × 50 P.

⇒ 2,500 P. (Rs. 25)

25 paisa coins = 50

⇒ 50 coins × 25 P.

⇒ 1,250 P. (Rs. 12.5)

10 paisa coins = 125

⇒ 125 coins × 10 P.

⇒ 1250 P. (Rs. 12.5)

★Total amount:

Rs. 25 + Rs. 12.5 + Rs. 12.5 = Rs.50

Answer 2

$\large\mathcal{\underbrace{\red{SOLUTION:-}}}$

GIVEN :-

• In a bag there are some 50 Paisa coins, 25 Paisa coins, 10 Paisa coins are in ratio ‘2:2:5’ .

• The total amount in the bag is Rs. 50 .

To Find :-

• Number of 10 Paisa coins .

CALCULATION :-

✍️ Let, the bag contains ‘x’ coin .

✍️ So,

• 50 Paisa contains ‘2x’ coin .

• 25 Paisa contains ‘2x’ coin .

• 10 Paisa contains ‘5x’ coin .

✍️ The total amount in the bag = Rs. 50

✍️ => The total amount in the bag = 5000 Paisa .

✴️ Now, According to the question

$\rm{\underline{50\times{2x}\:+\:25\times{2x}\:+\:10\times{5x}\:=\:5000\:}}$

$\rm{\implies\:100x\:+\:50x\:+\:50x\:=\:5000\:}$

$\rm{\implies\:200x\:=\:5000\:}$

$\rm{\boxed{\implies\:x\:=\:25\:paisa\:}}$

✍️ Therefore, number of 10 Paisa coins are

• => 5x coins

• => (5 × 25) coins

• => 125 coins .

$\bigstar\:\rm{\purple{\boxed{Number\:of\:10\:paisa\:coins\:are\:\:125\:}}}$