Question

A bag contains ₹10, ₹5, and ₹2 coins in the ratio 1: 2: 3. If the total amount of money in the bag is ₹390, find the number of coins of each kind.

• A. 15 coins of ₹10, 30 of ₹5, and 45 of ₹2
• B. 20 coins of ₹10, 40 of ₹5, and 60 of ₹2
• C. 12 coins of ₹10, 24 of ₹5, and 36 of ₹2
• D. 10 coins of ₹10, 20 of ₹5, and 45 of ₹2

Answer 1

Answer:

A. 15 coins of ₹10, 30 of ₹5, and 45 of ₹2

Let the number of ₹10, ₹5, and ₹2 coins be (x), (2x), and (3x) respectively, since their ratio is 1 : 2 : 3.

The total value is:

• ₹10 coins: (10x)

• ₹5 coins: (5 \times 2x = 10x)

• ₹2 coins: (2 \times 3x = 6x)

So,

10x + 10x + 6x = 390
26x = 390
$x = \frac{390}{26} = 15$

Therefore:

• ₹10 coins = $(1 \times 15 = 15)$

• ₹5 coins = $(2 \times 15 = 30)$

• ₹2 coins =$(3 \times 15 = 45)$

Answer:

• ₹10 coins = 15

• ₹5 coins = 30

• ₹2 coins = 45

Verification:

• $15 \times 10 =$₹150

• $30 \times 5 =$ ₹150

• $45 \times 2 =$ ₹90

Total = ₹150 + ₹150 + ₹90 = ₹390