Question

A bag has rs 43 in the form of 5 rupee 50 paise 10 paise coins in the ratio 1:5:11

Answer 1

Answer:

There are 5 Rs 5 coins, 25 50 paisa coins and 55 10 paisa coins in bag.

Step-by-step explanation:

Given: Total amount in bag = Rs. 43

           Denominations of coin in bag = Rs. 5 , 50 paisa , 10 paisa

           Ratio of No of coins = 1 : 5 : 11

To find: No of Coins of each denomination.

Let No of Rs. 5 coin = x

      No. of 50 paisa coin = 5x

      No. of 10 paisa coin = 11x

Rs. 5 = 5 × 100 = 500 paisa

Rs. 43 = 43 × 100 = 4300 paisa

According to the question,

500 × x + 50 × 5x + 10 × 11x = 4300

500x + 250x + 110x = 4300

860x = 4300

x = 5

⇒ No of Rs. 5 coins = 5

⇒ No of 50 paisa coin = 5 × 5 = 25

⇒ No of 10 paisa coin = 11 × 5 = 55

Therefore, There are 5 Rs 5 coins, 25 50 paisa coins and 55 10 paisa coins in bag.