50p, 1 rupee and 2 rupee coins when taken in the ratio 3 : 2 : 1 accounts for Rs. 22. How many coins of 2 rupees should be added more if the number of 1 rupee coins are halved and the total value of all the coins remains same.
50p, 1 rupee and 2 rupee coins when taken in the ratio 3 : 2 : 1 accounts for Rs. 22. How many coins of 2 rupees should be added more if the number of 1 rupee coins are halved and the total value of all the coins remains same. Correct Answer 2
Given:
50p, 1 rupee and 2 rupee coins when taken in the ratio 3 : 2 : 1
The total amount of the money is Rs. 22.
Concept:
We will be using the concept of ratio.
Calculation:
Let total number of coins initially be x
Total money to be paid = 22
⇒ 0.50 × ((3/6) × x) + 1 × ((2/6) × x) + 2 × ((1/6) × x) = 22
⇒ x = 24
⇒ New Number of 50p coins = 12
⇒ New Number of 1 rupee coins = 8/2 = 4
Total value of 50p and 1 rupee coins = 12 × 0.5 + 4 × 1 = 10
⇒ Number of 2 rupee coins = (22 – 10)/2 = 6
⇒ Change in number of 2 rupee coins = 6 – 4 = 2
∴ The required number of 2 rupees coins is 2.
