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1) P, Q and R started a business by investing in the ratio of 2 : 3 : 4. After 4 months, Q invested 50 % more than the initial investment and after another 2 months, P withdraw one – third of the initial investment. Find the total profit, if the share of P after one year is Rs. 35000?
a) Rs. 185000
b) Rs. 216000
c) Rs. 203000
d) Rs. 197000
e) None of these
2) Akash, Prithvi and Chitra started the business by investing in the ratio of 7 : 5 : 6. If 20% of the profit goes to charity, then the remaining will be shared by three of them. The share of Prithvi is Rs. 32000. Find the total profit?
a) Rs. 126000
b) Rs. 132000
c) Rs. 156000
d) Rs. 144000
e) None of these
3) Ashok, Ganesh and Logu started a business by investing Rs. 34000, Rs. 26000 and Rs. 38000 respectively. Ashok is a working partner and Ganesh and Logu is sleeping partner in a business. For managing the business, Ashok receives 10 % of profit. Find the difference between the share of Ashok and Logu, if the total profit at the end of the year is Rs. 73500?
a) Rs. 4650
b) Rs. 5280
c) Rs. 4320
d) Rs. 5860
e) None of these
4) P, Q and R enter into a business by investing in the ratio of 4 : 7 : 9. After 6 months, R withdraw half of his capital. The initial investment of P is Rs. 28000. If the total profit at the end of the year is Rs. 88750, then find the share of Q?
a) Rs. 21000
b) Rs. 27500
c) Rs. 35000
d) Rs. 30500
e) None of these
5) Prithvi and Kavitha started a business by investing Rs. 25000 and Rs. 28000 respectively. 4 months later, Kavitha withdrew her entire money and Shyam and Mala joined the business with investments of Rs. 20000 and Rs. 26000 respectively. If the difference in total shares of Shyam and Mala together and total shares of Prithvi and Kavitha together after a year is Rs. 6600, then find the total profit?
a) Rs. 125600
b) Rs. 117000
c) Rs. 132800
d) Rs. 108000
e) None of these
6) A, B and C entered into a partnership by investing in the ratio of 4 : 2: 3. At the end of the year, the total profit is in the ratio of 12 : 4 : 9. Find the ratio of period of time they invested in the business?
a) 3 : 2 : 3
b) 5 : 2 : 4
c) 2 : 5 : 3
d) 7 : 4 : 5
e) None of these
7) P, Q and R invested in the ratio of 6 : 5 : 9. After 5 months, Q invested the same amount as before but P and R withdraw 2/7th and 1/3rd of the initial investment respectively. Find the share of R, if the total profit at the end of the year is Rs. 108900?
a) Rs. 35600
b) Rs. 41750
c) Rs. 37800
d) Rs. 39150
e) None of these
8) Parthi, Thyagu and Kavin enter into a partnership. Parthi invests 5 times as much as Thyagu’s investment and Thyagu invests 3/7th of Kavin’s investment. If the total profit at the end of the year is Rs. 112500, then find the share of Thyagu?
a) Rs. 15000
b) Rs. 14000
c) Rs. 13500
d) Rs. 14500
e) None of these
9) A, B and C started a business by investing Rs. 33000, Rs. 38000 and Rs. 42000 respectively. After 4 months, A invested Rs. 5000 more and at the same time C withdraw Rs. 2000. Find the share of B at the end of the year, if the total profit is Rs. 86250?
a) Rs. 28500
b) Rs. 26000
c) Rs. 23500
d) Rs. 25750
e) None of these
10) Janvi invested two – third of the investment for three-fourth of total period and Kavi invested one – fifth of the investment for one fourth of the total period and Silambu invested the remaining amount for 4 months. Total profit at the end of the year is Rs. 96300. Find the share of Kavi?
a) Rs. 9300
b) Rs. 8100
c) Rs. 10800
d) Rs. 11200
e) None of these
Answers :
1). Answer: c)
Explanation:
The share of P, Q and R
= > [2x*6 + 2x*(2/3)*6] : [3x*4 + 3x*(150/100)*8] : [4x*12]
= > [12x + 8x] : [12x + 36x] : [48x]
= > 20 : 48 : 48
= > 5 : 12 : 12
5’s = 35000
1’s = 7000
Total profit = 29’s = Rs. 203000
2). Answer: d)
Explanation:
Investment ratio = 7 : 5 : 6
Prithvi’s share = 32000
5’s = 32000
1’s = 6400
18’s = 6400*18 = 115200
80 % of total profit = 115200
(80/100)*total profit = 115200
Total profit = 115200*(100/80) = Rs. 144000
3). Answer: a)
Explanation:
For managing the business, Ashok receives,
= > 73500*(10/100) = Rs. 7350
Remaining = 73500 – 7350 = 66150
The ratio of investment of Ashok, Ganesh and Logu
= > 34000 : 26000 : 38000
= > 17 : 13 : 19
49’s = 66150
1’s = 1350
The share of Ashok = (17*1350) + 7350 = 30300
The share of Logu = (19*1350) = 25650
Required difference = 30300 – 25650 = Rs. 4650
4). Answer: c)
Explanation:
The investment ratio of P, Q and R = 4 : 7 : 9
The initial investment of P = Rs. 28000
4’s = 28000
1’s = 7000
Initial investment of Q = 49000
Initial investment of R = 63000
The share of P, Q and R
= > [28000*12] : [49000*12] : [63000*6 + 31500*6]
= > 336000 : 588000 : 567000
= > 16 : 28 : 27
Total profit = Rs. 88750
71’s = 88750
1’s = 1250
The share of Q = 28’s = 28*1250 = Rs. 35000
5). Answer: b)
Explanation:
The share of Prithvi, Kavitha, Shyam and Mala,
= > [25000*12] : [28000*4] : [20000*8] : [26000*8]
= > 300000 : 112000 : 160000 : 208000
= > 75 : 28 : 40 : 52
The difference in total shares of Shyam and Mala together and total shares of Prithvi and Kavitha together after a year = Rs. 6600
= > (75 + 28)’s – (40 + 52)’s = 6600
= > 103’s – 92’s = 6600
= > 11’s = 6600
= > 1’s = 600
Total profit = 195’s = 600*195 = Rs. 117000
6). Answer: a)
Explanation:
The ratio of investment = 4 : 2 : 3
The ratio of profit = 12 : 4 : 9
Ratio of investment * Ratio of Period = The ratio of Profit
Ratio of Period = The ratio of Profit/ Ratio of investment
According to the question,
= > (12/4) : (4/2) : (9/3)
= > 3 : 2 : 3
7). Answer: d)
Explanation:
The share of P, Q and R,
= > [6*5 + 6*(5/7)*7] : [5*5 + 10*7] : [9*5 + 9*(2/3)*7]
= > [30+ 30] : [25 + 70] : [45 + 42]
= > 60 : 95 : 87
242’s = 108900
1’s = 450
The share of R = 87’s = Rs. 39150
8). Answer: c)
Explanation:
The investment of Parthi and Thyagu = 5 : 1
Thyagu’s investment = (3/7)* Kavin’s investment
The investment of Thyagu and Kavin = 3 : 7
The investment of Parthi, Thyagu and Kavin = 15 : 3 : 7
Here, the period is not given. So,
The ratio of investment = The ratio of profit
Total profit = Rs. 112500
25’s = 112500
1’s = 4500
The share of Thyagu = 3’s = Rs. 13500
9). Answer: a)
Explanation:
The share of A, B and C
= > [33000*4 + 38000*8] : [38000*12] : [42000*4 + 40000*8]
= > 436000 : 456000 : 488000
= > 109 : 114 : 122
Total profit = Rs. 86250
345’s = 86250
1’s = 250
The share of B = 250*114 = Rs. 28500
10). Answer: b)
Explanation:
Let the total investment be x,
The ratio of profit of Janvi, Kavi and Silambu,
= > [(2x/3) * (3/4)*12] : [(1/5)x * (1/4)*12] : [(2/15)x * 4]
= > 6x : (3/5)x : (8/15)x
= > 90 : 9 : 8
Total profit = Rs. 96300
107’s = 96300
1’s = 900
The share of Kavi = 9’s = 900*9 = Rs. 8100
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This post was last modified on November 20, 2021 8:48 am