# Pie Charts Questions

Q:

Study the following graph carefully and answer the questions given below:

Distribution of candidates who were enrolled for MBA entrance exam and the candidates (out of those enrolled) who passed the exam in different institutes:

1. What percentage of candidates passed the Exam from institute T out of the total number of candidates enrolled from the same institute?

A. 50%             B. 62.5%           C. 75%             D. 80%

2. Which institute has the highest percentage of candidates passed to the candidates enrolled?

A. Q                  B. R                  C. V                  D. T

3. The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:

A. 228              B. 279              C. 399              D. 407

4. What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together?

A. 68%             B. 80%             C. 74%             D. 65%

5. What is the ratio of candidates passed to the candidates enrolled from institute P?

A. 9:11             B. 14:17           C. 6:11             D. 9:17

Explanation - Required percentage=$\inline \fn_cm \frac{9\; percent\; of\; 5700}{8\; percent\; of\; 8550} \times 100$  % =  $\inline \fn_cm \frac{9\; \times 5700}{8\;\times 8550} \times 100$% = 75%

Explanation - The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

P =  $\inline \fn_cm \frac{18\; percent \; of\; 5700}{22\;percent\; of\; 8550} \times 100$%  = 54.55%

Q = $\inline \fn_cm \frac{17\; percent \; of\; 5700}{15\;percent\; of\; 8550} \times 100$% = 75.56%

R = $\inline \fn_cm \frac{13\; percent \; of\; 5700}{10\;percent\; of\; 8550} \times 100$% = 86.67%

S = $\inline \fn_cm \frac{16\; percent \; of\; 5700}{17\;percent\; of\; 8550} \times 100$% = 62.75%

T = $\inline \fn_cm \frac{9\; percent \; of\; 5700}{8\;percent\; of\; 8550} \times 100$% = 75%

V=$\inline \fn_cm \frac{15\; percent \; of\; 5700}{12\;percent\; of\; 8550} \times 100$  % = 83.33%

X= $\inline \fn_cm \frac{12\; percent \; of\; 5700}{16\;percent\; of\; 8550} \times 100$% = 50%

Highest of these is 86.67% corresponding to institute R.

Explanation -

Required difference = [(16% + 18%) of 5700] - [(8% + 10%) of 8550]

= [(34% of 5700) - (18% of 8550)]

= (1938 - 1539)

= 399

Explanation

Candidates passed from institutes Q and R together    =  [(13% + 17%) of 5700] = 30% of 57000.

Candidates enrolled from institutes Q and R together   = [(15% + 10%) of 8550] = 25% of 8550.

Required Percentage = $\inline \fn_cm \frac{30\; percent \; of\; 5700}{25\;percent\; of\; 8550} \times 100$% = 80%

Explanation -  Required ratio =  $\inline \fn_cm \frac{18\; percent \; of\; 5700}{22\;percent\; of\; 8550}$ = $\inline \fn_cm \frac{6}{11}$

1680
Q:

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

1. In the corporate sector, approximately how many degrees should be there in the central angle ?

A. 120                 B. 121                 C. 122                 D. 123

2. If the investment by NRI's are Rs 4,000 crore, then the investments by corporate houses and FII's tog ether is:

A. 24,000 cr       B. 24,363 cr       C. 25,423 cr       D. 25,643 cr

3. What percentage of the total investment is coming from FII's and NRI's ?

A. 33%                B. 11%                C. 44%                D. 22%

4. If the total investment other than by FII and corporate houses is Rs 335,000 crore, then the investment by NRI's and Offshore funds will be (approximately) ?

A. 274,100         B. 285,600         C. 293,000         D. Cannot be determined

5. If the total investment flows from FII's were to be doubled in the next year and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment into India Bonds next year (in US \$ millions) ?

A. 40%                B. 50%                C. 60%                D. 70%

Explanation -   34 x 3.6 = 122.4 (since 1% = 3.6 degrees)

Explanation -   (67/11) x 4000 = 24 363.6364

Explanation -  (33 + 11) = 44

Explanation -  Investment other than NRI and corporate houses is 33% = 335000.  Also, investment by offshore funds and NRI's is equal to 27%.

Hence, (27 x 335,000)/33 = 274 090.909

Explanation -  FII's currently account for 33 out of 100.

If their value is doubled and all other investments are kept constant then their new value would be 66 out of 133 = approximately equal to 50%

1051
Q:

Study the pie - chart carefully to answer the questions below :

The Pie chart shows the percentage quantity of fruits at two fruit shops A and B

1. What is the difference between the quantity of Guava at Shop B and that at Shop A ?

1. 40 Kg         2. 45 kg         3. 35 kg         4. 30 kg         5. 50 kg

2. If the price of Mango is Rs. 30 per kg, Apple Rs.40 per kg and orange Rs.20 per kg, then what is the ratio of their costs at Shop A?

1. 1 : 4 : 6      2. 9 : 8 : 5      3. 3 : 7 : 8      4. 5 : 4 : 1      5. 2 : 5 : 7

3. The quantity of Mango at Shop B is what per cent of the quantity of Mango at Shop A ?

1. 20%           2. 220%         3. 120%         4. 80%            5. 180%

4. If the price of Mango is Rs.30 per kg, Apple Rs. 40 per kg, orange Rs.20 per kg, Other fruits Rs.15 per kg and Guava Rs. 18 per kg for both Shop A and B, then what is the difference between the cost of all fruits at Shop A and that at Shop B ?

1. Rs.7200     2. Rs.3500     3. Rs. 6400     4. Rs.5100     5. Rs.4600

5. The quantity of Orange at Shop A is what percent more than that of Apple at Shop B ?

1. 161.52%     2. 195.5%     3. 182%         4. 190%         5. 171.42%

Explanation :  Quantity of Guava at Shop A = $\inline \dpi{100} \fn_cm 1200\times \frac{10}{100}$ = 120 kg

Quantity of Guava at Shop B = $\inline \dpi{100} \fn_cm 1000\times \frac{16}{100}$ = 160 kg

$\inline \dpi{100} \fn_cm \therefore$ Required difference = 160 - 120 = 40 kg

Explanation : Cost of Mango at Shop A = $\inline \dpi{100} \fn_cm 30\times 1200\times \frac{24}{100}$= Rs. 8640

Cost of Apple = $\inline \dpi{100} \fn_cm 40\times 1200\times \frac{16}{100}$ = Rs. 7680

Cost of Orange = $\inline \dpi{100} \fn_cm 20\times 1200\times \frac{20}{100}$ = Rs.4800

$\inline \dpi{100} \fn_cm \therefore$ Required Ratio = 8640 : 6780 : 4800  = 9 : 8 : 5

Explanation : Quantity of Mango at Shop B = $\inline \dpi{100} \fn_cm 1000\times \frac{24}{100}$ = 240 kg

Quantity of Mango at Shop A = $\inline \dpi{100} \fn_cm 1200\times \frac{24}{100}$ = 288 kg

$\inline \dpi{100} \fn_cm \therefore$ Req % = $\inline \dpi{100} \fn_cm 288\times \frac{100}{240}$ = 120% of the quantity of Mango at Shop A

Explanation : Cost of total fruits at Shop A = Cost of Mango + Cost of Apple + Cost of Guava + Cost of orange + Cost of other fruits

=$\inline \dpi{100} \fn_cm 1200\times \frac{24}{100}\times 30+1200\times \frac{16}{100}\times 40+1200\times \frac{10}{100}\times 18+1200\times \frac{20}{100}\times 20+1200\times \frac{30}{100}\times 15$

= Rs. 28680

Cost of Total Fruits at Shop B

=$\inline \dpi{100} \fn_cm 1000\times \frac{24}{100}\times 30+1000\times \frac{14}{100}\times 40+1000\times \frac{16}{100}\times 18+1000\times \frac{20}{100}\times 20+1000\times \frac{26}{100}\times 15$

= 7200 + 5600 + 2880 + 4000 + 3900

= Rs. 23580

$\inline \dpi{100} \fn_cm \therefore$Req difference = 28680 - 23580 = Rs.5100

Explanation: Quantity of Orange at Shop A = $\inline \dpi{100} \fn_cm 1200\times \frac{20}{100}$ = 240 kg

Quantity of Apple at Shop B = $\inline \dpi{100} \fn_cm 1000\times \frac{14}{100}$ = 140 kg

$\inline \dpi{100} \fn_cm \therefore$ Req % = $\inline \dpi{100} \fn_cm \frac{240\times 100}{140}$ % = 171.42% more than the quantity of Apple at Shop B.

401
Q:

Study the following pie-charts to answer the following questions :

The pie-charts show the expenditure of two companies A and B, Which are Rs.50 lakh and Rs.60 lakh respectively.

1.If the incomes of Company A and B are in the ratio of 4:5 and the income of Company B is 180% of its expenditure,then what is the difference between the income of Company B and the income of Company A ?

1.Rs.2200000       2. Rs.1900000       3. Rs.2160000       4. Rs.1850000       5.Rs.2250000

2.If the number of employees in Company A is a hundred then what is the average salary of the employees in Company A ?

1. Rs.14000     2. Rs.16000     3. Rs.13000     4. Rs.15000     5. Rs.15500

3.What is the ratio of tax paid by Company A to that by Company B ?

1. 35:18           2. 34:37           3. 42:41           4. 31:27           5. 27:25

4.What is the difference between the expenditure on employees of Company B and that of Company A?

1.Rs.4300000       2. Rs.6400000       3. Rs.5900000       4. Rs.8700000       5.Rs.7800000

5.The expenditure on Machine and Electricity of Company B is what per cent more than that on the same item of Company A?

1. 67%             2. 84%             3. 75%             4. 77%             5. 80%

Explanation : Expenditure of Company B = 60 lakh

Income of Company B = $\inline \dpi{100} \fn_cm 60\times \frac{180}{100}$= 108 lakh = 1 crore 8 lakh

Income of Company A  = $\inline \dpi{100} \fn_cm 10800000\times \frac{4}{5}$ = Rs. 8640000

$\inline \dpi{100} \fn_cm \therefore$ Required differeence = 10800000 - 8640000 = Rs.2160000

Explanation :  Total expenditure on the employees of company A = $\inline \dpi{100} \fn_cm 5000000\times \frac{28}{100}$ = Rs.1400000

Average Salary of the employees  = $\inline \dpi{100} \fn_cm \frac{1400000}{100}$ = Rs.14000

Explanation : Tax paid by Company A : Tax paid by Company B

$\inline \dpi{100} \fn_cm 5000000\times \frac{14}{100}:6000000\times \frac{6}{100}$

= 700000 : 3600000  = 35 : 18

Explanation : Difference = $\inline \dpi{100} \fn_cm 6000000\times \frac{34}{100}-5000000\times \frac{28}{100}$

= 2040000 - 1400000 = Rs.640000

Explanation :  Expenditure on Machine and Electricity of Company B = $\inline \dpi{100} \fn_cm 6000000\times \frac{18}{100}$ = Rs.1080000 = 10.8 lakh

Expenditure on Machine and Electricity of Company A = $\inline \dpi{100} \fn_cm 5000000\times \frac{12}{100}$ = Rs.600000 = 6 lakh

$\inline \dpi{100} \fn_cm \therefore$ Required % = $\inline \dpi{100} \fn_cm \frac{1080000-600000}{600000}\times 100$ % = $\inline \dpi{100} \fn_cm \frac{48}{60}\times 100$% = 80%

Hence expenditure of Company B is 80% more than Company A.