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**P and Q invested in the ratio of 5:8. The profits are divided in the ratio of 3:8. If P has invested for 6 months, then Q invested for?**

(A) 11 months

(B) 8 months

(C) 10 months

(D) 7 months

(E) None of these

**Correct option is : C**

**Solution:**

Investment ratio = 5:8

Profits = 3:8,

P has invested for 6 months.

Ratio of Profit = 5*6: 8*x = 30: 8x

According to the question,

30/8x = 3/8

X = 10 months

**Pari, Yuva and Saaru started a business by investing Rs. 12000, Rs. 18000 and Rs. 22000 respectively. After 6 months, Saaru withdraw the full amount and Pari and Yuva invested Rs. 5000 and Rs. 8000 more respectively. Find the share of Saaru, if the total profit at the end of the year is Rs. 42940?**

(A) Rs. 7558

(B) Rs. 9944

(C) Rs. 10056

(D) Rs. 8182

(E) None of these

**Correct option is : B**

**Solution:**

The share of Pari, Yuva and Saaru

= > [12000*6 + 17000*6]: [18000*6 + 26000*6]: [22000*6]

= > 174000: 264000: 132000

= > 29: 44: 2295’s = 42940

1’s = 452

The share of Saaru = 22*452

= Rs. 9944

**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

**Correct option is : A**

**Solution:**

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

**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 2/7 and 1/3 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

**Correct option is : D**

**Solution:**

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

**Priyanshi and Priyanshu enter into a partnership with their capital in the ratio of 5 : 13. At the end of 6 month, Priyanshu withdrew his capital. If they receive the profits in the ratio of 25 : 26 then find how long is Priyanshi’s capital used.**

(A) 19 months

(B) 15 months

(C) 16 months

(D) 13 months

(E) None of these

**Correct option is : B**

**Solution:**

Suppose Priyanshi’s capital was used for x months.

Now, | 5 × x | = | 25 |

13 × 6 | 26 |

or, 26 × 5x = 13 × 6 × 25

or, x = 15 months

Therefore, Priyanshi’s capital was used for 15 months.

**Abdul and Karim start a business by investing a cetain amount in the ratio 9 : 16. Both of them invest for an equal period of time. At the end of the term, Abdul’s share of profit is what per cent less than that of Karim?**

(A) 66%

(B) 60%

(C) 55%

(D) 43%

(E) None of these

**Correct option is : D**

**Solution:**

Reqd% = | 16 – 9 | × 100 |

16 |

= | 700 | = 43 | 12 | = 43 | 3 | % less |

16 | 16 | 4 |

**Rajesh and Ashok are partners in a business. Rajesh contributes 3/5 of the capital for 8 months and Ashok received 5/8 of the profit. For how long Ashok’s money was used?**

(A) 12 months

(B) 15 months

(C) 20 months

(D) 18 months

(E) None of these

**Correct option is : C**

**Solution:**

The ratio of investment of Rajesh and Ashok = (3/5) : (2/5) =3 : 2

The ratio of profit of Rajesh and Ashok = (3/8) : (5/8) = 3 : 5

According to the question, (3*8) : (2*x) = 3 : 5

(24/2x) = (3/5)

X = 20 months

**Puneet, Sumit and Amit started a business jointly investing Rs. 11 lakh, 16.5 lakh and 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 half of Amit’s share in the profit?**

(A) Rs 4.5 lakh

(B) Rs 2.25 lakh

(C) Rs 2.5 lakh

(D) Rs 3.75 lakh

(E) None of these

**Correct option is : B**

**Solution:**

Profit ratio = Investment by Puneet × Time : Investment by Sumit × Time : Investment by Amit × Time

= 11 × 3 : 16.5 × 3 : 8.25 × 3 = 11 : 16.5 : 8.25 = 44 : 66 : 33

Amit’s share in profit =

33 | × 19.5 = Rs 4.5 lakh |

143 |

∴ 50% of Amit’s share =

1 | × 4.5 = Rs 2.25 lakh | |

2 |

**The ratio of investment of Arun, Banu and Chitra is 1: 2: 3. After 4 months, Arun invested the same amount as before but Banu and Chitra withdraw half of their investment. Find the ratio of the profit of Arun, Banu and Chitra?**

(A) 7 : 3 : 9

(B) 5 : 4 : 6

(C) 12 : 9 : 7

(D) 9 : 7 : 5

(E) None of these

**Correct option is : B**

**Solution:**

The share of Arun, Banu and Chitra

= > [1*4 + 2*8]: [2*4 + 1*8]: [3*4 + (3/2)*8]

= > 20: 16: 24 = > 5: 4: 6

**Three friends A, B, C invested in a business in the ratio of 4:5:6. After 6 months C withdraw half of his capital. If the sum invested by A is 36000, then the profit earned by C out of the total profit of 60000.**A.20000

B.30000

C.40000

D.50000

E.None of these

**Correct option is : B**

**Solution:**

sum invested by A = 4x = 36000.

X = 9000

Investment made by A, B , C – 36000, 45000, 54000

Ratio in which the profit will divide- 36000*12 : 45000*2 : 54000*6 + 27000*6

i.e 4:5:9. So C share = (9/18)*60000 = 30000