A sum was divided among P, Q, R. R got double than P, who got double than Q. If the difference between the shares of Q and R is Rs 3675, then the sum was?a)4900b)8575c)11025d)7350Correct answer is option 'B'. Can you explain this answer?

Question

Answer

R : P 2 : 1 R : P : Q Diff (R,Q)
P : Q 2 : 1 → 3675
3 ≡ 3675
1 ≡ 1225
Sum > ≡ 1225 x 7 = 8575

Answer

R=2P,
Q=P/2
AS R-Q=3675, Value of P we get =2450 by putting in the values of R &Q
If P= 2450, we get R = 4900 (R=2P)
and similarly, Q= 1225 (Q=P/2)
now P+Q+R = X
4900+2450+1225=8575
The answer is option B.

Answer

Answer

Understanding the Problem
Given that R received double what P received, and P received double what Q received, we can define their shares as follows:
- Let Q's share be x.
- Then P's share = 2x.
- R's share = 2 * (2x) = 4x.
Setting Up the Equation
According to the problem, the difference between R's and Q's shares is Rs 3675. Therefore, we can write the equation:
- R - Q = 3675
- 4x - x = 3675
- 3x = 3675
Calculating Q's Share
Now, we solve for x:
- x = 3675 / 3
- x = 1225
This means:
- Q's share = Rs 1225
- P's share = 2 * 1225 = Rs 2450
- R's share = 4 * 1225 = Rs 4900
Calculating the Total Sum
Now, we can find the total sum shared among P, Q, and R:
- Total Sum = Q + P + R
- Total Sum = 1225 + 2450 + 4900
- Total Sum = Rs 8575
Conclusion
Thus, the total sum that was divided among P, Q, and R is Rs 8575. Therefore, the correct answer is option 'B'.

Similar Quant Doubts

An amount of money is to be divided between P, Q and R in the ratio of 3:7:12.If the difference between the shares of P and Q is Rs.X, and the difference between Q and R’s share is Rs.3000. Find the total amount of money?

Ashok being the sleeping partner receives 1/10th of profit and the remaining is divided between pramod and prakash in the ratio of 1:2..If the difference between the profit shares of Ashok and Prakash is Rs.2000.What is pramod’s share in Rs.?

A sum of Rs.7140 is to be divided between Anita and Bala who are respectively 18 and 19 yr old, in such a way that if their shares will be invested at 4% per annum at compound interest, they will receive equal amounts on attaining the age of 21 year. The present share of Anita is

We have to divided a sum of Rs. 13950 among three persons A, B and C. B must get the double of As share and C must get 50 less than the double of Bs share. The share of A will be ?

A sum of rupees 3903 is divided between P and Q such that the share of P at the end of 8 years is equal to the share of Q after 10 years. Find the share of P if rate of interest is 4% compounded annually.

Top Courses for Quant

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company