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Data Interpretation with pie chart? (SBI PO)

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I found this question in a quiz made for SBI PO. I found no short way of doing this question rather than only fast calculation. Is it all or we need to solve this question with some trick. Please suggest if any rather then only fast calculation.

 

A total of 39 thousand students appeared in an entrance examination from six cities, in which the number of boys was 12000. The following pie-charts show the distribution of the total students and of the total boys from these cities who appeared in the exam.

  


 

Q1. What is the total number of girls who appeared from City A?

(a) 3210 

(b) 3440 

(c) 3650 

(d) 3870 

(e) 3900

 

Q2. What is the difference between the total number of boys and the total number of girls who appeared in the exam from City E?

(a) 1725 

(b) 1750 

(c) 1775 

(d) 1800 

(e) 1825

 

Q3. The total number of girls who appeared from City C is approximately what per cent of the total number of students who appeared from City D?

(a) 45% 

(b) 49% 

(c) 54% 

(d) 57% 

(e) 60%

 

Q4. What is the difference between the total number of boys who appeared from City A and that from City B?

(a) 320 

(b) 330 

(c) 340

(d) 350 

(e) 360

 

Q5. The number of girls who appeared from City F is approximately what per cent of the total number of girls who appeared from all six cities together?

(a) 31.5% 

(b) 32.5% 

(c) 33.5% 

(d) 34.5% 

(e) 35.5%

 

1 Answer

Best answer
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1. Total no. of girls from city A

= Total students from city A - Total boys from city A (assuming no other gender)

= 17/100 * 39000 - 82.8/360 * 12000

= 17 * 390 - 2760

= 6630 - 2760

= 3870

2. 75.6/360 * 12000 - (8.5/100 * 39000 - 75.6/360 * 12000)

= 756/18 * 120 - 85 * 39

= 42 * 120 - 3400 + 85

= 4200 +840 - 3400 + 85

= 1725

3. $\frac{0.15 * 39000 - 61.2/360 * 12000}{0.2 * 39000} * 100$

$= \frac{15* 390 - 2040}{78}$

$= \frac{6000 - 150 - 2040}{78}$

$=\frac{3810}{78}$

$\approx 49$

4. $\frac{82.8 - 72}{360} *12000$

$= 1080*120/360 = 360$

5. $\frac{0.26 * 39000 - 32.4/360 * 12000}{39000-12000} * 100$

$= \frac{26*390 - 1080} {27000}*100$

$= \frac{10400 - 260 - 1080}{270}$

$= \frac{932- 26}{27}$

$= \frac{906}{27}$

$= \frac{302}{9}$

$= 33.5$
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