1. A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A’s share is Rs. 855, what is the total profit?
1. 1400
2. 1500
3. 1600
5. 1200
Answer & Explanation Answer:- 2 Explanation :- Let the total profit be Rs. x. 2. A, B and C invest in a partnership in the ratio: 7/2, 4/3, 6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then what is B’s share in the profit? Answer & Explanation Answer:- 3 Explanation :- Ratio of the initial investment = 7/2 : 4/3 : 6/5 = 105 : 40 : 36 3. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit. Answer & Explanation Answer:- 1 Explanation :- As A will receive extra 5% of the total profit = 5% of 7400 = 5*7400/100 = 370 4. A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives? Answer & Explanation Answer:- 2 Explanation :- Total amount invested = 50000 5. A, B, C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 175, then how much amount should C pay as his share of rent? Answer & Explanation Answer:- 1 Explanation :- A : B : C = (10 × 7) : (12 × 5) : (15 × 3) = 70 :60 :45 = 14 :12 :9
Charity = 5% of x
Profit divided between A & B = 95% of x
A’s profit = 855 , Therefore
(95x/100) * (3/5) = 855
95x/100 = 855*5/3
95x/100 = 1425
x = 1425 * 100/95 = 1500
Therefore , the total profit = Rs. 1500
1. Rs. 2000
2. Rs. 3000
3. Rs. 4000
4. Rs. 5000
Therefore,
Let the initial investments of A = 105x, B = 40x & C = 36x
As , A increases his share by 50% after 4 months
New Ratio = (105x + 4) + (105x × (150/100) ×8) : (40x × 12) : (36x × 12)
=> 35 : 10 : 9
B’s share = 21600 × (10/54) = Rs. 4000
1. 2660
2. 1000
3. 2300
4. 4000
Remaining amount = 7400-370 = 7030
Ratio of their investments = 6500*6 : 8400*5 : 10000*3
=> 65*6 : 84*5 : 100*3 = 13 : 14 : 10
B’s Share in Profit = 7030 * (14/37) = 190*14 = 2660
1.. 14200
2. 14700
3. 14800
4. 14500
Let C’s investment = Rs. x.
Therefore B’s investment = 5000 + x ,
A’s investment = 4000 + 5000 + x = 9000 + x
According to Question
x + (5000 + x) + (9000 + x) = 50000
=> 3x + 14000 = 50000
=> 3x = 50000 – 14000 = 36000
=> x = 36000/3 = 12000
Therefore , C’s investment = x = 12000 ,
B’s investment= 5000 + x = 17000,
A’s investment = 9000+x = 21000
Ratio of the investment of A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12
A’s share = 35000 * 21/50 = 700*21 = 14700
1. 45
2. 35
3. 55
4. 60
C’s rent = Rs.(175 × 9 / 35) = Rs. 45.