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## Arithmetic : Level 1 Test -5

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Question 1 |

Anu is a working partner and Bimla is a sleeping partner in a business. Anu puts in Rs. 5000 and Bimla puts in Rs. 6000. Anu receives 12.5% of the profit for managing the business and the rest is divided in proportion to their capital. What does each get out of a profit of Rs. 880?

Rs. 400 and Rs. 480 | |

Rs. 460 and Rs. 420 | |

Rs. 450 and Rs. 430 | |

Rs. 470 and Rs. 410 |

Question 1 Explanation:

12.5% of profit = (12.5/100) x 880 = Rs. 110

Remaining Rs. 770 is divided in the ratio = 5000 : 6000 = 5 : 6

Profit of Anu = 5/11 x 770 + 110 = Rs. 460

Profit of Bimla = 6/11 x 770 = Rs. 420

Remaining Rs. 770 is divided in the ratio = 5000 : 6000 = 5 : 6

Profit of Anu = 5/11 x 770 + 110 = Rs. 460

Profit of Bimla = 6/11 x 770 = Rs. 420

Question 2 |

X contributes Rs. 1500 and Y Rs. 900 in a business. X is a sleeping partner and Y gets 10% of the profit for management and the rest of the profit is divided in the proportion of their capital. If the profit is ~ 800, what is the share of Y?

Rs. 375 | |

Rs.360 | |

Rs. 350 | |

Rs. 450 |

Question 2 Explanation:

10% of profit = 10/100 x 800 = Rs. 80

Remaining Rs. 720 is divided in the ratio = 1500 : 900 = 5: 3

Share of Y = 3/8 x 720 + 80 = Rs. 350

Hence option c

Remaining Rs. 720 is divided in the ratio = 1500 : 900 = 5: 3

Share of Y = 3/8 x 720 + 80 = Rs. 350

Hence option c

Question 3 |

X and Y are partners in a business. X contributed 1/3 of the capital for 9 months and Y received 2/5 of the profits. For how long was Y's money used in the business?

4 months | |

3 months | |

2 months | |

5 months |

Question 3 Explanation:

Ratio of capital= 1/3 : 2/3 = 1 : 2

Ratio of profit 3/5 : 2/5 = 3: 2

Let Y's money was used for n months.

Therefore (1 x 9) : (2 x n) = 3: 2

n =3 months

Ratio of profit 3/5 : 2/5 = 3: 2

Let Y's money was used for n months.

Therefore (1 x 9) : (2 x n) = 3: 2

n =3 months

Question 4 |

Three numbers A, B and C are in the ratio of 12: 15 : 25. If sum of these numbers is 312, ratio between the difference of B and A and the difference of C and B is

3 : 7 | |

10 : 3 | |

3 : 10 | |

5 : 1 |

Question 4 Explanation:

Let three numbers A, B and C are 12s, 15s and 25s respectively.
12s + 15s + 25s = 312

s=312/52 =6

Therefore required ratio

(15 x 6 – 12 x 6) /(25 x 6 – 15 x 6)

= (3 x 6) /10 x 6 = 3/10

Hence the ratio will be 3 : 10

s=312/52 =6

Therefore required ratio

(15 x 6 – 12 x 6) /(25 x 6 – 15 x 6)

= (3 x 6) /10 x 6 = 3/10

Hence the ratio will be 3 : 10

Question 5 |

A car takes 15 min less to cover 75 km if it increases its speed by 10 km/h from its usual speed. How much time would it take to cover 300 km if the car travels at its usual speed?

5 h | |

5 ^{1}/_{2}h | |

6 h | |

6 ^{1}/_{2} h |

Question 5 Explanation:

Let the usual speed of the car = s km/h

Since the car takes 15 min less to cover 75 km,

therefore equating the time taken in the two cases,

we get the following equation:

75/s = [75/(s+10)] + 15/60

Calculating for s, we get

s = 50 km/h

Therefore, the required time will be = 300/50 = 6 h

Since the car takes 15 min less to cover 75 km,

therefore equating the time taken in the two cases,

we get the following equation:

75/s = [75/(s+10)] + 15/60

Calculating for s, we get

s = 50 km/h

Therefore, the required time will be = 300/50 = 6 h

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