# New Pattern High Level Data Interpretation Based on Mixture and Alligation and Download PDF for free for SBI PO, IBPS PO, IBPS RRB Scale 1, SBI Clerk, IBPS Clerk, 2020 at Smartkeeda

Directions : Study the following line and bar chart carefully and answer the questions given beside.

A scientist purchases 50 litres  mixture of two liquids A and B such that their percentage  composition in mixture is shown in the pie-chart. He purchases them weekly for his photographic experiments at the rates given in the line graph and after mixing them completely, sells it back to a manufacturing company.

Cost price of liquids (in rupees)

Liquid distribution percentage

Important for :
1
The average cost of the mixture per litre to the scientist, for the 1st three weeks is –
» Explain it
A
Litres of Liquid B = 64% of 50 litres

 = 64 × 50 = 64 100 2

Litres of Liquid B = 32 litres

Litres of Liquid A = 50 – 32 = 18 litres

 Average C.P of liquid A = 49 + 28 + 42 =  Rs. 119 3 3

 Average C.P of liquid B = 35 + 42 + 35 = Rs. 112 3 3

Let C.P of per litre mixture be Rs. x.

 Then, ( 119 – x ) (18litres) = ( x – 112 ) (32 litres) 3 3

 119 × 9 + 112 × 16 = 16x + 9x = 25x 3 3

 1071 + 1792 = 25x 3

 x = Rs. 2863 75

Hence, option A is correct.
2
In the 4th Week, find the profit or loss % received by the scientist if he sells the entire mixture solution of that week to the company for Rs. 3297 -
» Explain it
B
C.P of mixture per litre for 4th week be Rs. x.

Then, [49 – x] (32 litres) = [x –35] (18 litres)

 x = Rs. 2198 50

For 50 litres, C.P = Rs. 2198

Profit = Rs. 3297 – Rs. 2198 = Rs. 1099

 Profit % = 1099 × 100 = 100 = 50% gain 2198 2

Hence, option B is correct.
3
During week-3, 20% of the entire mixture (in container M) was separated in another container N. Find the ratio of the sum of liquid A in N and liquid B in M to the sum of liquid A in M and liquid B in N.
» Explain it
C
 20% of mixture = 20 of 50 litres 100
= 10 litres (moved from M to N)

Liquid A in container N = 36% of 10litres = 3.6 litres

Liquid B in container N = 64% of 10litres = 6.4 litres

Liquid A in container M = 36% of 40litres = 14.4 litres

Liquid B in container M = 64% of 40litres = 25.6 litres

 Ratio = Liquid A in N + Liquid B in M Liquid A in M + Liquid B in N

 = 3.6 + 25.6 6.4 + 14.4

 = 29.2 = 292/208 = 73/52 20.8

Hence, option C is correct.
4
In week-2, had the scientist sold back both the liquids A & B separately at Rs. 35 & Rs. W per litre, he would have got a total loss of 7%, but while selling them for Rs. 28 & Rs. 35 per litre, he would have got a loss of Z%. Then the product of W & Z is -
» Explain it
D
In week-2, C.P of liquid A = Rs.28 and sold at Rs. 35

C.P of liquid B = Rs. 42 and sold at Rs.W

Total C.P = Rs. (28 × 18 + 42 × 32) = Rs. (504 + 1344) = Rs. 1848 …(1)

Total S.P = Rs. (35 × 18 +  W × 32) = Rs.(630 + 32W)

Loss =  Rs. [1848 – (630+32W)] = Rs. (1218 – 32W)

 Loss % = 1218 – 32W × 100 = 7 1848

 (1218 – 32W) = 7 × 1848 100

 32W = 121800 – 12936 = 3402 × 32 100 100 100

 W = 3402 100

Also,

Total S.P = Rs.(28 x 18 + 35 x 32) = Rs.(504+1120) = Rs.1624

Loss = Rs. [1848 – 1624] = Rs. 224

 Loss % = Z = 224 × 100 = 400 1848 33

 Then, W × Z = 3402 × 400 = 3402 × 4 = 4536 100 33 33 11

Hence, option D is correct.
5
In week-1, if the scientist secretly converted some percent of liquid B to A (total volume remaining constant) and then mixed them such that the difference in the cost price of the mixtures for the same volume per litre rose by Rs.(248/50). Then, what percent of B was converted from B to A?
» Explain it
E
Let s litres of liq. B be converted.

New volume of B = 32 – s

New volume of A = 18 + s

C.P of mixture per litre for 1st week be Rs. x.

Then, [49 – x] (18 litres) = [x –35] (32 litres)

882 – 18x = 32x – 1120

50x = 1120 + 882 = 2002

 x = Rs. 2002 50

Then cost price of mixture will be

 2002 + 248 = 2250 = 45 50 50 50

(18 + s) (49 – 45) = (45 – 35) (32 – s)

4(18 + s) = 10(32 – s)

72 + 4s = 320 – 10s

14s = 320 – 72 = 248

 s = 248 = 124 14 7

 % of B = 124/7 × 100 = 775 32 14

Hence, option E is correct.
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In this article we will discuss What is Data Interpretation, How its important for Bank PO and Clerk Exams.

What is Data Interpretation and how its useful for SBI PO, SBI Clerk, LIC, NABARD etc

In our day-to-day life, data is reported in the newspapers, on television, and in magazines. The data involves business, government, sports and many other topics. It is represented in an organized fashion, making it easy to interpret what you hear and read in the media. Those set of problems is being asked in different kind of form like Pie Chart di, Bar Chart di, Table Chart di, line chart di and info chart etc.

Now come back to the point data interpretation,  Data has to be well organized for it to be useful. This process of interpreting and analysing data to extract meaningful information from it is Data Interpretation. Solving Data Interpretation problems involves the use of basic formulas and manipulation of numbers.
Data Interpretation is calculation-intensive. It consists of a myriad of graphs, charts and tables form which you have to glean and analyse data. The key to cracking this area is to quickly identify the key pieces of data that you require to work on the questions asked.

Problems in Data interpretation are probably the closest in resemblance to the kind of problems you will be dealing with as a manager. They test your decision-making ability and speed using the minimum possible data. They help you to draw conclusions from collected data, support decision making, and contribute to better process, product, and quality models.

Data Sufficiency problems involve testing your quantitative concepts. They usually take the form of a logical puzzle. Instead of solving a data sufficiency problem, all you need to do is determine if the given information is enough to solve the problem. To solve Data Interpretation Questions & Answers for Banking and Insurance Exams like SBI, IBPS, NABARD & RBI Grade B, NIACL, and LIC, you need to brush up your calculation skills; you need to perform calculations faster and accurately than others. The difficult Data interpretations should be solved within 10-12 minutes. The DI of moderate level should not consume more than 7-9 minutes of the time and easy DI's should be finished within 3.5-4 minutes.

In these Data Interpretation Quizzes, you familiarized yourself with the key concepts and improved your problem-solving abilities. At Smartkeeda you will get Easy level data interpretation to High level data interpretation at low cost. Practice and tests are important to optimize your preparation. First take the quizzes regarding your exams and take full mock test at Testzone to improve your problem-solving skills. Questions that have appeared in the previous IBPS PO exams are also a part of these quizzes. Go through them you can understand where the focus lies in an examination environment. The detailed solutions of the questions may provide some alternate strategies that can help you improve your speed and accuracy.