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In a bag, there are notes of ₹ 10, ₹ 20 and ₹ 50 in the ratio of 1 : 2 : 3. If the total money is ₹ 1,000, how many notes of ₹ 10 are there ?
Explanation
To find the number of ₹ 10 notes, we use the given ratio of notes (1 : 2 : 3) for denominations ₹ 10, ₹ 20, and ₹ 50 respectively.
Let the number of notes be 1x, 2x, and 3x. The total value of the money is calculated as the sum of the values of each denomination:
- Value of ₹ 10 notes = 10 × 1x = 10x
- Value of ₹ 20 notes = 20 × 2x = 40x
- Value of ₹ 50 notes = 50 × 3x = 150x
Total value = 10x + 40x + 150x = 200x
Given that the total money is ₹ 1,000, we set up the equation:
200x = 1,000
x = 1,000 / 200 = 5
The number of ₹ 10 notes is represented by 1x. Substituting the value of x:
Number of ₹ 10 notes = 1 × 5 = 5.
SIMILAR QUESTIONS
'A' and 'B' have pocket money in the ratio of 3 : 4. After the day's work, 'A' earned ₹ 600 while 'B' earned ₹ 500. However, 'A' spent ₹ 150 and 'B' spent ₹ 100 during the day. If they have equal amount of money at the end of the day, then the pocket money 'A' had in the morning is:
A mother gives pocket money to her three children A, B and C in the ratio 3 : 4 : 5 respectively. Then the father gives ₹ 40 to each child. As a result, the pocket money of A, B and C now has the ratio 5 : 6:7 respectively. How much does C get from her mother ?
Two teams named A and B do business together and their shares are in the ratio of 2 : 1. Team A has got three members A1, A2 and A3 whose shares are in the ratio of 1 : 2 : 3. Team B has got four members B1, B2, B3 and B4 whose shares are in the ratio of 1 : 2 : 3 : 4. If the actual share of B3 is ₹ 2,25,000, then what is the actual share of A2 ?
In a game between X and Y, X has to give ₹ 10 each time he loses to Y. If he wins, then he gets ₹ 50 from Y. If they play 15 times and X earns ₹ 450, how many times does X win?