a. 7 : 13 : 17

b. 10 : 40 : 72

c. 100 : 64 : 45

d. 110 : 74 : 64

**Answer:** c. 100 : 64 : 45

**Explanation:**

Tip:

We know that Ratio of Investment x Time = Ratio of Profit

∴ To find ratio of investment just divide respective profits ratios by respective time ratios

So if profit ratio is P_{1}:P_{2}:P_{3} and investment ratio is T_{1}:T_{2}:T_{3} then,

Time ratio is found by = (P_{1}/T_{1}) : (P_{2}/T_{2}) : (P_{3}/T_{3})

Since, they spend 2 months, 5 months and 8 months in the business respectively, their time period in business is in the ratio of 2 : 5 : 8.

Ratio of investment for M, N and O is found by = | 5 | : | 8 | : | 9 |

2 | 5 | 8 |

∴ Ratio of Time periods for M, N and O = | 40 x 5 | : | 40 x 8 | : | 40 x 9 | = 100 : 64 : 45 |

2 | 5 | 8 |

a. 5:7

b. 7:5

c. 7:13

d. 13:7

**Answer:** c. 7:13

**Explanation:**

Total value of investment of Ram and Shyam after 12 months is =

Rs. 35000 x 12 months : Rs. 25000 x 12 months = 420000 : 300000

Profits need to be same so investment share must be the same too.

Now 400000 given by Salim needs to be shared by Ram and Shyam so that their investment value becomes same.

∴ If Rs. X must be given to Ram, then 420000 + X = 300000 + (400000-X)

∴ X = Rs. 140000 = Ram should get this much

**Required ratio = Share of Ram: Share of Shyam **= 140000 : (400000-140000) **= 7:13**

a. Rs. 13800

b. Rs. 16100

c. Rs. 16500

d. Rs. 16866.67

**Answer:** b. Rs. 16100

**Explanation:**

Tip:

Ratio of Investment x Time = Ratio of Profit

∴ (A's investment x Time) : (B's investment x Time) = Profit of A : Profit of B

Total value of investment of Arman, Gubbi and Jayram after 12 months is =

Rs. 40000 x 12 months : Rs. 80000 x 7 months : Rs. 144000 x (12-7)months = 480000 : 560000 : 720000

∴ Profit ratio = 240000 : 280000 : 360000 = 6 : 7 : 9

∴ Share of Gubbi = | 7 | x 50600 = Rs. 16100 |

6+7+9 |

a. Rs. 1300

b. Rs. 1440

c. Rs. 1650

d. Rs. 1800

**Answer:** b. Rs. 1440

**Explanation:**

Let investment of C be Rs. 100

So investment of B = Three-fourths of C = ¾ of Rs. 100 = Rs. 75

Investment of A = 20% more than B = 20% more than Rs. 75 = Rs. 90

Ratio of investment of A, B, and C = 90 : 75 : 100 = 18:15:20

Investment of C = | 20 | x 3816 = Rs. 1440 |

18+15+20 |

a. Rs. 2736

b. Rs. 3800

c. Rs. 4788

d. Rs. 6840

**Answer:** a. Rs. 2736

**Explanation:**

Tip:

Ratio of investment = Ratio of Profit

Ratio of Profit of Rohan to Mohan = 5:2

Rohan's Share = Rs. 6840 = | 5 | x (90% Total Profit) ----------> 10% given to hospital |

5+2 |

∴ 6840 = | 5 | x | 90 | x Total Profit |

7 | 100 |