Question

Four persons ‘P’, ‘Q’, ‘R’ and ‘S’ has different amounts with them. ‘S’ has thrice the amount as that with ‘P’. ‘Q’ has 25% more amount than ‘S’. The amount ‘R’ has is equal to the average amount all four persons have. If the sum of the amounts ‘P’ and ‘R’ have is Rs. 4300, then find the amount ‘R’ have.

• A. Rs 3400
• B. Rs 3100
• C. Rs 3600
• D. Rs 2900

Answer 1

Answer: (B)

Rs 3100

Answer 2

Let ‘P’ has Rs. a
Therefore, amount ‘S’ have = Rs. 3a
Amount ‘Q’ have = 1.25 × 3a = Rs. 3.75a
Let the average amount with by all four be Rs. p
Therefore, amount with ‘R’ = Rs. p
According to the question,
3.75a + 3a + a = 4p – p
Or, 7.75a = 3p
Or, $\frac{p}{a}= \frac{31}{12}$
Therefore, p = 4300 × $(\frac{31}{43})$ = Rs. 3100
Amount with ‘R’ = Rs. 3100
So, the correct option is (B) : Rs 3100.