Another person A has Rs 25 more in his wallet than the average of the amount with Q and R together A...........

Quantitative Aptitude(IBPS CL) Data Table

Direction: Study the following information carefully and answer the questions that follow.
Four people(P, Q, R, S) have certain amount of money in their wallets. The currency notes in the wallet of the four people were in only 3 denominations.(D-I, D-II, D-III)
The table given below shows the total amount that the four people have and the amount of the three different denominations for the four people.
The amount with S is missing from the table.

It is also known that each of the 4 people had the same number of currency notes for each of the denominations i. e. For person P: Number of notes of denomination D-I = Number of notes of denomination D-II = Number of notes of denomination D-III. This holds true for all the 4 people.

Another person A has Rs. 25 more in his wallet than the average of the amount with Q and R together. A has minimum two notes of Rs. 2000 and notes of denomination of Rs. 200 and Rs. 50 . What is the possible number of notes of Rs. 50 denomination that A could have? All the above given conditions apply to A as well.

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Explanation:

Let the number of currency notes of each denomination with P be x.
According to the data provided in the question, we get
50x + 20x + 10x = 1120
⇒ 80x = 1120
⇒ x = 14
The number of currency notes of each denominations that with P = 14
Let the number of currency notes of each denomination with Q be y.
According to the data provided in the question, we get
100y + 20y + 5y = 3250
⇒ 125y = 3250
⇒ y = 26
The number of currency notes of each denominations with Q = 26
Let the number of currency notes of each denomination with R be z.
According to the data provided in the question, we get
200z + 50z + 20z = 5400
⇒ 270z = 5400
⇒ z = 20
The number of currency notes of each denominations with R = 20
Let the number of currency notes of each denomination with S be s.
Total amount that S has = 20s + 10s + 5s = Rs. 35s
Total amount that A has = = Rs. 4350
Number of possible notes of Rs. 2000 = 2
Number of possible notes of Rs. 200 = 1
Remaining amount = 4350 − (2 × 2000 + 1 × 200) = Rs. 150
Number of possible notes of Rs. 50 =150/3 = 3
Hence, option B is correct.