Ratio & Proportion (13)

1. If 4 (P’s Capital ) = 6 ( Q’s Capital ) = 10 ( R’s Capital ) , then out of the total profit of Rs 4650 , R will receive
1. 600
2. 700
3. 800
4. 900

Answer & Explanation

Answer:- 4

Explanation :-

Let P’s capital = x,  Q’s capital = y  &  R’s capital = z
Therefore
4x = 6y = 10z    => 2x = 3y = 5z
Therefore , y = 2x / 3
z = 2x / 5
P : Q : R = x : (2x / 3) : (2x / 5) = 15 : 10 : 6
R’s share = (4650 / 31) * 6 = Rs. 900

 

2. P, Q, R enter into a partnership. P initially invests 25 lakh & adds another 10 lakhs after one year. Q initially invests 35 lakh & withdrawal 10 lakh after 2 years and R invests Rs 30 Lakhs . In what ratio should the profit be divided at the end of 3 years?
1. 18:19:19
2. 18:18:19
3. 19:19:18
4. 18:19:19

Answer & Explanation

Answer:- 3

Explanation :-

P =  (25 * 1) + (35 * 2) = 95
Q = (35 * 2) + ((35 -10) *1) = 95
R = 30 * 3 = 90
P : Q : R = 95 : 95 : 90 = 19 : 19: 18

 

3. P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is Q’s share?
1. 114
2. 120
3. 134
4. 144

Answer & Explanation

Answer:- 4

Explanation :-

Ratio of initial investments of P,Q & R = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.
Let their initial investments be 6x, 2x and 3x respectively.
P : Q : R = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.
Q’s share =  Rs. (378 * 8/21) = Rs. 144.

 

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