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Practice Questions

:- You can add tough questions into
your favourite list for second revision. Note |

Q1. | In what ratio must a grocer mix two varities of pulse costing Rs.15 and Rs.20 per kg respectively so as to get a mixture worth Rs.16.50 per kg ? | ||||||||||||||||

A. | 3 : 7 [Wrong Answer] | ||||||||||||||||

B. | 5 : 7 [Wrong Answer] | ||||||||||||||||

C. | 7 : 3 [Correct Answer] | ||||||||||||||||

D. | 7 : 5 [Wrong Answer] | ||||||||||||||||

View Answer
Explanation:-
Answer : CDiscuss it below :By the rule of alligation:
Arundeep Said on 2015-07-26 19:51:29=(dearer - mean)÷(means - cheap) =20-16.50/16.50-15 =3.50 : 1.50 =35 : 15 = 7 : 3 Click here for more comments |

Q2. | Tea worth Rs.126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be : | ||||||||||||||||

A. | 169.5 [Wrong Answer] | ||||||||||||||||

B. | 170 [Wrong Answer] | ||||||||||||||||

C. | 175.5 [Wrong Answer] | ||||||||||||||||

D. | 180 [Correct Answer] | ||||||||||||||||

View Answer
Explanation:-
Answer : DDiscuss it below :Since first and second varieties are mixed in equal proportions, so their average price= Rs. ^{(126 +135)}/_{2}So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x. By the rule of alligation, we have :
^{x - 153}/_{22.50}x - 153 = 22.50 x = 175.50. Hence, price of the third variety = Rs. 175.50 per kg. Seema Said on 2015-07-28 23:25:33Let the three varieties be A,B,C. the ratio is given as 1:1:2. Let x be the price of third variety per kg. A B C the cost is: Rs.126/kg Rs.135/kg Rs.x/kg the amount (from ratio): (1/4)kg (1/4)kg (1/2)kg (in kg.) cost of three varieties per kg = cost of the mixture per kg so, (126*(1/4))+(135*(1/4))+(x*(1/2))=153 after making calculation, x=175.5 so, the price of third variety per kg will be Rs.175.5 DJ Said on 2015-07-27 00:06:03Price of all mixture 126+135+(2*X) Number of kgs 1+1+2 Therefore mixture price per kg=(price of all mix)/(number of kgs)=153/kg Hence X=175.5/kg . Click here for more comments |

Q3. | The cost of Type 1 rice is Rs.15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and type 2 mixed in the ratio of 2 : 3, then the price per kg of the mixed varity of rice is : | ||||||||||||||||||||||||

A. | Rs. 18 [Correct Answer] | ||||||||||||||||||||||||

B. | Rs. 18.50 [Wrong Answer] | ||||||||||||||||||||||||

C. | Rs. 19 [Wrong Answer] | ||||||||||||||||||||||||

D. | Rs. 19.50 [Wrong Answer] | ||||||||||||||||||||||||

View Answer
Explanation:-
Answer : ADiscuss it below :Let the price of the mixed variety be Rs. x per kg.By the rule of alligation:
60-3x = 2x-30 60-(-30) = 2x-(-3x) 90 = 5x x = 18 so price of the mixture is Rs. 18 per kg Click here for more comments |

Q4. | A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is : | ||||||||||||||||

A. | 400 kg [Wrong Answer] | ||||||||||||||||

B. | 560 kg [Wrong Answer] | ||||||||||||||||

C. | 600 kg [Correct Answer] | ||||||||||||||||

D. | 640 kg [Wrong Answer] | ||||||||||||||||

View Answer
Explanation:-
Answer : CDiscuss it below :By the rule of alligation we have :
Quantity of 2nd kind = ^{3}/_{5}Click here for more comments |

Q5. | How many kilogram sugar of costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg ? | ||||||||||||||||||||||||||||

A. | 36 kg [Wrong Answer] | ||||||||||||||||||||||||||||

B. | 42 kg [Wrong Answer] | ||||||||||||||||||||||||||||

C. | 54 kg [Wrong Answer] | ||||||||||||||||||||||||||||

D. | 63 kg [Correct Answer] | ||||||||||||||||||||||||||||

View Answer
Explanation:-
Answer : DDiscuss it below :Sale price of 1 kg of mixture = Rs. 9.24 Gain = 10%
Let x kg of sugar of 1st kind be mixed with 27 kg of second kind
Click here for more comments |

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