## Mixture & Alligation Solved Questions For IBPS, SBI and Other Bank Exams - Page 2

You will find 8 problems in 2 pages..

Mixture & Alligation Solved Questions (Page 2 of 2)

Question 1
In what ratio,water must be mixed with fruit juice costing Rs.24 per litre so that the juice would be worth of Rs.20 per litre?

a) 1:4 b) 1:5 c) 1:6 d) 2:5

Answer : b) 1:5

Solution :

Cost of 1 litre of water = Rs.0 = cheaper quantity.
Cost of 1 litre of juice = Rs.24 = dearer quantity.
And, the mean price = m = Rs.20
Applying the rule of alligation,

Therefore, (Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c) = 4:20 = 1:5
Hence, the required answer is 1:5.

Question 2

Box A contains wheat worth Rs.30 per kg and box B contains wheat worth Rs.40 per kg. If both A and B are mixed in the ratio 4:7 then the price of mixture per kg is :

a) Rs. 36.36 b) Rs. 35.80 c) Rs. 42.50 d) 31. 30

Answer : a) Rs. 36.36

Solution :

Cost of 1 kg of A = Rs.30 = cheaper quantity.
Cost of 1 kg of B = Rs.40 = dearer quantity.
Let the mean price be Rs.X.
Applying the rule of alligation,

Therefore, (Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c) = (40-X) : (X-30)
Given ratio = 4/7 = 40-X/X-30
280-7X = 4X - 120
11X = 400
X = 400/11 = 36.36
Hence, the required mean price is Rs.36.36

Question 3

A seller has two variety of rice worth Rs.80 per kg and Rs.95 per kg. If he get 20% profit by selling the mixture of two varieties at Rs.84 then the mixing ratio is :

a) 7:5 b) 5:3 c) 7:2 d) 5:2

Answer : d) 5:2

Solution :

Cost of 1 kg of 1st type = Rs.80 = cheaper quantity.
Cost of 1 kg of 2nd type = Rs.95 = dearer quantity.
Selling price of 1 kg of mixture = Rs. 84
Given that, gain = 20%
We have to find the cost price of 1 kg of mixture.

```Selling price cost price
Rs.120 Rs.100
Rs. 1 Rs. 100/120
Rs.84 Rs.100 x 84 / 120 = Rs.70.```

Therefore, mean price of 1 kg of mixture = Rs.70

Therefore, (Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c) = 25:10 = 5:2
Hence, required ratio is 5:2.

Question 4

There are two varieties of tea worth Rs.90 per kg and Rs.70 per kg. If X kg of 1st kind is mixed with 56 kg of 2nd kind to get a profit 25% by selling the mixture at Rs.95 per kg then X equals to:

a) 35 b) 24 c) 48 c) 19

Answer : b) 24

Solution :

Cost of 1 kg of 2nd kind = Rs.70 = cheaper quantity.
Cost of 1 kg of 1st kind = Rs.90 = dearer quantity.
Selling price of 1 kg of mixture = Rs. 95
Gain = 25%
Therefore cost price of 1 kg of mixture = 100/125 x 95 = Rs.76
That is, mean price = m = Rs.76

Therefore, (Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c) = 14:6 = 7:3.
Ratio of quantities of 2nd and 1st kind of tea = 7:3
Given that, 56kg of 2nd is mixed with X kg of 1st.
Then, 7:3 = 56:X
7X = 56x3
X = 24kg
Hence, required answer is 24.

Mixture & Alligation Solved Questions (Page 2 of 2)

Prepare Fast And Score Well In SBI & IBPS, PO & Clerk Exams

## Related pages

arithmetic progression questions and answersbest book for bank clerk examtamilnadu international airportmensuration questions and answersimprove antonymsbaroda gramin bank recruitmenta geometric progressionbank clerk booksinequalities exam questionsmaths profit and loss problemstmb bank examhow many types of cheques in bankgeneral awareness for bank exams with answerscomputer gk questionsname of chennai sea porttypes puzzlesibps clerk exambodmas practice questionssbi exam preparation booksgeneral awareness for bank exams with answersibps exam datessyntel openings in punelatest gk current affairssbi marketing questionspermutation and combination sample problems with solutionscoding and decoding problemssbi exam questionsbank gk questions and answersslr rate definitionnumerator of fractionsbi current affairsbank ibps clerkmensuration questions and answersinequalities exam questionssbi clerk exam paperrbi test paperssurds and indices questions and answersbest book for ibpsstock exchange examsibps bank posbi po exam paperspermutations and combinations questionssyllogistic reasoning questions and answerslatest current affairs questions and answerscarrier in sbiprobability problems for aptitudeupcoming ibps po examlk jha governor rbiratio and proportion word problems with solutionsantonyms for damagegramya bank recruitmentpermutation and combination word problemsibps banking examallahabad grameen bankcheque leafsarrange the alphabetsneed and importance of rbiquadrilateral questionssyllogism practiceibps examstips for ibps clerk examlogical reasoning aptitude questions with answersibps preparation guidetepix indexbearer cheque and order cheque meansbank under ibpsoriental bank of commerce head officeibps clerical bookssums on compound interestmahila diwasbank clerk exam paperscareers sbiantonyms for diatribesolution of permutation and combination problemsalligation problemstmb savings accountsyllogism possibility rules