Question

A bag contains Rs.375 in the form of 1 rupee, 50 paise and 20 paise in the ratio 2:5:7 what are the number of coins

Answer 1

Step-by-step explanation:

Given:

• Total amount of rupees is Rs 375.
• Types of coins are 1 rupee , 50 paise , 20 paise.
• Ratio of coins 2 : 5 : 7

To Find:

• What is the number of each type of coins ?

Solution: Let x be the common in given ratios. Therefore,

➙ 1 rupee coins = 2x

➙ 50 paise coins = 5x

➙ 20 paise coins = 7x

A/q

• Sum is 375

$\implies{\rm }$ 2x(100) + 5x(50) + 7x(20) = 375(100)

$\implies{\rm }$ 200x + 250x + 140x = 37500

$\implies{\rm }$ 590x = 37500

$\implies{\rm }$ x = 37500/590

$\implies{\rm }$ x = 63.56

So, Number of coins are

➯ 1 rupee = 2x = 2(63.56) = 127.12

➯ 50 paise = 5x = 5(63.56) = 317.80

➯ 20 paise = 7x = 7(63.56) = 444.92

___________

★ Verification ★

➭ 12712 + 15890 + 8898 = 37500

➭ 28602 + 8898 = 37500

➭ 37500 = 37500

$\large\boxed{\texttt{Verified}}$

Answer 2

Given :-

• Total amount = Rs 375

• The ratio of 1 Rupees , 50 paise and 20 paise ratio = 2:5:7

To FinD :-

• what are the number of each coin ?

Solution :-

The ratio of 1 Rupees , 50 paise and 20 paise ratio is 2:5:7

So ,

Number of 1 Rupees coins = 2x

• So the total amount of 1 Rupees coin = (2x) × 1
• = 2x Rupees

Number of 50 paise coin = 5x

• So the total amount of 50 Paise coin = 50 × 5x
• = 250x Paise
• = 250x/100 Rupees
• = 2.5x Rupees

Number of 20 paise coin = 7x

• So the total amount of 20 paise coin = 20 × 7x
• = 140x Paise
• = 140x/100 Rupees
• = 1.4x Rupees

Total amount of coins = Total amount

$2x + 2.5x + 1.4x = 375$

$5.9x = 375$

$x = 375/5.9$

$\boxed{x = 63.56 }$

_________________________

• Tha number of 1 Rupees coin = 2x

$→ 2 × 63.56$

$→ 127.12$

___________________________

• The number of 50 Paise coin = 5x

$→5 × 63.56$

$→317.8$

____________________________

• The number of 20 Paise coin = 7x

$→ 7 × 63.56$

$→ 444.92$