Quantitative Aptitude: Partnership Set 12

1. The amount Rs. 15,708 is divided between X and Y in the ratio 3 : 8. What is the difference between twice the share of Y and thrice the share of X?
Rs.5470
Rs.9000
Rs.7850
Rs.9996
Rs.8540
Option D
Required difference = (8/11×2−3/11×3) = 7/11×15708 = Rs. 9996

2. P and Q entered into a partnership investing Rs.18,000 and Rs.20,000 respectively. After 7 months R also joined the business with an investment of Rs.32,000. What is the share of R in an annual profit of Rs.46,200?
Rs.14500
Rs.12000
Rs.11200
Rs.9800
Rs.10500
Option B
Ratio = 18000*12 : 20000*12 : 32,000*5 = 27 : 30 : 20 Hence, R’s share = (20/77*46,200) = Rs.12000

3. A man started a business with Rs. 70,000. He was joined afterwards by another man with Rs. 35,000. For how much period does another man join, if the profits at the end of the year are divided in the ratio of 4:1 ?
6 months
8 months
4 months
9 months
None of these
Option A
Let another man joined for x months . Then, ( 70,000 * 12 )/(35000 * x) = 4/1. => x = (70000 * 12) / (35000 * 4) = 6 So, Another man joined for 6 months.

4. A got Rs. 8000 as his share out of the total profit of Rs. 12,000 which he and B earned at the end of one year. If A invested Rs. 20,000 for 6 months, whereas B invested his amount for the whole year, the amount invested by B?
Rs.4520
Rs.3850
Rs.4522
Rs.5218
Rs.5000
Option E
Let the amount invested by B = Rs. X Now, that of A = 20,000 x 6 B= 12 X Ratio of their earnings = 120000 : 12X = 8000 : (12000 – 8000) => 120000 : 12X = 8000 : 4000 => X= Rs. 5000 Hence, the amount invested by B =Rs. 5000.

5. A, B and C were sharing profits in the ratio 8 : 7 : 6. Y retired from the firm and A and C decide to share profits in the ratio 7 : 6. Calculate the gaining ratio.
12:15
33:34
43:48
19:21
31:35
Option C
Gaining Ratio = (7/13 – 8/21) : (6/13 – 6/21) = 43 : 48

6. A woman starts a bangle business by investing Rs. 60,000. six months later, her friend named jolly joins her by investing Rs. 1,00,000. At the end of one year from commencement of the business, they earn a profit of Rs. 151,8000. What is the jolly’s share in the profit?
Rs.69,000
Rs.78,450
Rs.46,522
Rs.78,500
Rs.55,440
Option A
Ratio of the capitals = 60,000 *12 : 1,00,000 * 6 =6 : 5 Hence, Jolly’s share = (5/11*1,51,800) = Rs.69,000

7. Ashok starts a business with Rs. 10000, his son Rohit joins him after 2 months with 20% more investment than Ashok, after 2 months joins him with 40% less than Dhairya. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of Ashok and ten times the investment of Dhairya. Find the profit of Ashok ?
Rs.42,500
Rs.25,000
Rs.40,000
Rs.38,000
Rs.22,500
Option D
The ratio of investments of Ashok, Rohit and Dhairya.= (10000*12): (12000*10) : (7200*8) = 25 : 25: 12 Profit = 2*(72000 – 10000) = 124000 Share of Ashok = 124000*(25/62) = 48000 Profit of Ashok = 48000 – 10000 = Rs.38000

8. An amount of money is to be divided among A, B and C in the ratio 3 : 4 : 7, respectively. If the amount received by C is Rs. 3,000 more than the amount received by B, what will be the total amount received by A and B together?
Rs.4500
Rs.7000
Rs.5600
Rs.3000
Rs.3200
Option B
Difference of the amount received by B and C = (7-4) = 3 Total amount received by A and B = (3+4) = 7 Then, 3 ====== 3,000 => 7 ===== (3,000/3)*7 Total amount received by A and B together = Rs. 7,000

9. Anik, Elena and Tarun started a business together each investing Rs. 11 lakh, Rs. 16.5 lakh and Rs. 8.25 lakh, respectively. The profit earned by, them in the business at the end of three years was Rs. 19.5 lakh. What will be the 50% of Tarun’s share in the profit?
Rs.2.25 lakhs
Rs.2 lakhs
Rs.3.5 lakhs
Rs.4.4 lakhs
Rs.1.50 lakhs
Option A
Ratio of the capitals = 11 * 36 : 16.5 *36 : 8.25 *36 = 4 : 6 :3 Tarun’s share in the profit = {3/(4+6+3)}*19.5 =Rs. 4.5 lakh Now, 50% of Tarun’s profit = 50/100 * 4.5 = Rs. 2.25 lakh

10. There are two persons Ranit and Ratan. Ranit supplies whole of the capital amounting to Rs. 45000 with the condition that the profits are to be equally distributed and that Ratan pays Ranit interest on half of the capital at 10% per annum, but receives, Rs. 120 per month for carrying on the concern. What is their total yearly profit , when Ratan’s income is 1/2 of Ranit’s income.
Rs.9000
Rs.8750
Rs.9180
Rs.6660
Rs.7542
Option C
Let total Profit be x. Amount received by Ratan (from the total profit) =120×12=1440=120×12=1440 Amount received by Ranit (from Ratan) as interest =22500×10/100=2250 Let total profit =2x+1440=2x+1440 Then, Ranit and Ratan gets xx as share of the profit. Ranit’s total income in the year = x+2250 Ratan’s total income in the year =x+1440−2250=x−810 2(x−810)=x+2250 ⇒2x−1620=x+2250 ⇒x=3870 Total yearly profit =2x+1440= Rs.9180

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