Direction: Study the given data carefully and answer the following question.
There are four persons A, B, C, and D. Each person has different types of denomination.
Person |
Total amount (in Rs.) |
Denomination |
||
A |
1440 |
500 |
200 |
20 |
B |
1525 |
200 |
100 |
5 |
C |
3710 |
500 |
10 |
20 |
D |
1250 |
20 |
5 |
100 |
Note: The number of notes of each denomination is the same for each person.
Given:
The total amount of A is Rs.1440.
The total amount of B is Rs.1525.
The total amount of C is Rs.3710.
The total amount of D is Rs.1250.
The number of notes of each denomination is the same for each person.
Concept Used:
The amount = Denomination of notes × Number of notes
Calculation:
For A:
Let the number of notes of each denomination be x.
The total amount of A is Rs.1440.
⇒ 500 × x + 200 × x + 20 × x = 1440
⇒ 720x = 1440
⇒ x = 2
For B:
Let the number of notes of each denomination be y.
The total amount of B is Rs.1525.
⇒ 200 × y + 100 × y + 5 × y = 1525
⇒ 305y = 1525
⇒ y = 5
For C:
Let the number of notes of each denomination be z.
The total amount of B is Rs.3710.
⇒ 500 × z + 10 × z + 20 × z = 3710
⇒ 530z = 3710
⇒ z = 7
For D:
Let the number of notes of each denomination be t.
The total amount of B is Rs.1250.
⇒ 20 × t + 5 × t + 100 × t = 1250
⇒ 125t = 1250
⇒ t = 10
Individual Solution:
For A, the number of notes of each denomination is 2.
The amount of denomination of 200 for person A = 200 × 2 = Rs.400
For B, the number of notes of each denomination is 5.
The amount of denomination of 100 for person B = 100 × 5 = Rs.500
The average = (400 + 500)/2 = Rs.450.
∴ The average of the amount of denomination of 200 for person A and the amount of denomination of 100 for person B is Rs.450.