Question

A bag contains a certain number of 50 paisa coins, 20 paisa coins and 10 paisa coins in the ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?

Answer 1

hence, the number of coin of each kind is 44.5.

ans.

i hope it helps you.

Answer 2

Gɪᴠᴇɴ

Ratio of 50 paisa coins, 20 paisa coins, 10 paisa coins = 2 : 3 : 4

Total value of all coins = Rs.400

Tᴏ ꜰɪɴᴅ

Number of each coins

Sᴏʟᴜᴛɪᴏɴ

Let the number of each coins be 2n , 3n & 4n respectively.

According to Question :

⇒ (2n × 50) + (3n × 20) + (4n × 10) = 400

⇒ 100n + 60n + 40n = 400

⇒ 200n = 400

⇒ n = 400/200

⇒ n = 2

Now number of each denominations :

⇒ Number of Rs.50 coins = 2n

= 2(2)

= 4

⇒ Number of Rs.20 coins = 3n

= 3(2)

= 6

⇒ Number of Rs.10 coins = 4n

= 4(2)

= 8

Tʜᴇʀᴇꜰᴏʀᴇ,

Number of each coins are 4, 6 & 8 respectively.