 # Ratio & Proportion (12)

1. A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A
1. 20600
2. 20700
3. 20500
4. 20400

Explanation :-

A’s Investment : B’s Investment : C’s Investment
(20000 × 5) + (15000 × 7) : (20000 × 5) + (16000 × 7) : (20000 × 5) + (26000 × 7)
= (20 × 5) + (15 × 7) : (20 × 5) + (16 × 7) : (20 × 5) + (26 × 7)
= 205 212 282
A’s Share = [69900 / (205 + 212 + 282) ] × 205 = Rs. 20500

2. A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
1. 2
2. 3
3. 4
4. 5

Explanation :-

Let B joins for x months . Therefore
(76000*12) / (57000*x) = 2 / 1
76*12 / 57x = 2 / 1
x = (76*12) / (57*2) = 8
Therefore, B joins for 8 months i.e. joined after (12 – 8) = 4  months

3. Three partners A , B , C start a business . B’s Capital is four times C’s capital and twice A’s capital is equal to thrice B’s capital . If the total profit is Rs 16500 at the end of a year ,Find out B’s share in it.
1. 4000
2. 5000
3. 6000
4. 7000

Explanation :-

Let  C’s capital = x , Therefore,  B’s capital = 4x
2(A’s capital) = 3(4x)  => A’s capital = 6x
A : B : C = 6x : 4x : x = 6 : 4 : 1
B’s share = 16500 * (4/11) = 1500*4 = 6000

4. In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
1. 48000
2. 48200
3. 48400
4. 48600

Explanation :-

A : B = 3 : 2 = 6 : 4
A : C = 2 : 1 = 6 : 3
Therefore , A : B : C = 6 : 4 : 3
B share = (4/13)*157300 = 48400

5. P , Q and R started a business by investing Rs 120000 , Rs 135000 & Rs 150000 respectively. Find the share of each, out of the annual profit of Rs 56700
1. 16800 , 18900 , 21000
2. 17850 , 18900 , 21000
3. 16800 , 18900 , 22000
4. 17850, 18500 , 22000