SBI PO Data Interpretation Practice Set -12

1 . Directions (Q. 1 - 5): Study the following pie-chart, line graph and table and answer the questions that follow. Share holding of Institutions, Foreign and Domestic individuals in Microfinance institutions in 2011 The following line graph show the percentage profit in different years. The following table shows the tax paid on profits over the years Dividend = Gross profit - Tax Dividend (Net profit) is provided to shareholders according to their investment ratio in microfinance institutions. Note: The money invested by Unitus Equity fund in microfinance institutions is 80 crore. $Q.$ What would have been the total dividend (in `) collected to provide all the shareholders, after doing business in the year 2011? A.   82 lakh B.   96 crore C.   76 lakh D.   72 crore 2 . If in 2007 total money received by the shareholders was `600 crore then what is the ratio of tax paid in the year 2007 to that in year 2011? A.   15 : 47 B.   9 : 50 C.   8 : 47 D.   16 : 47 3 . If the money received by shareholders in the year 2010 is 10% less than that in 2011, what was the dividend (in crore) received by Sequio Capital in the year 2010? A.   7.78 crore B.   8.96 crore C.   6.98 crore D.   6.90 crore 4 . If the total money received by the shareholders is 800 crore in 2011 what is the ratio of the money invested and the total money received by Elevar Equity in the year 2011? A.   105 : 119 B.   100 : 109 C.   99 : 100 D.   99 : 105 5 . Directions (Q. 6 - 10): Study the following graphs to answer the questions given below: Number of applicants (in lakh) for three different engineering entrance exams, viz IIT, AIEEE and State Entrance Exams over the years The following graph shows the number of female applicants of AIEEE and State Entrance Exam per one lakh. $Q.$ What is the percentage of the number of average applicants, for IIT Entrance Exam with respect to that of average applicants for AIEEE over the given period 2006-2011? A.   50% B.   66$2\over 3$% C.   75% D.   45% 6 . In which of the following years the percentage increase/decrease in the number of applicants for State Entrance Exam is maximum with respect to the previous year? A.   2007 B.   2008 C.   2009 D.   2010 7 . The number of female applicants, for State Entrance Exam is what percentage of the number of female applicants for AIEEE in the year 2011 ? A.   48.14% B.   35.14% C.   60.41% D.   63.14% 8 . What is the approximate percentage increase or decrease in the number of male applicants for State Entrance Exam in the year 2010 with respect to the previous year? A.   8% B.   7% C.   9% D.   6% 9 . What is the ratio of the number of male applicants for IIT to that for AIEEE in the year 2009? A.   51 : 99 B.   32 : 63 C.   43 : 55 D.   Can’t be determined

Answers & Solutions   1 .     Answer : Option D Explanation : Money invested by Unitus Equity = 80 crore 10% $\rightarrow$ 80 crore 100% $\rightarrow$ 800 crore Total money received by share holders = 800 profit in 2011 = 800 x $10\over 100$ = 80 crore Total dividend = 80 - 80 x $10\over100$ = 80 - 8 = 72 crore Total dividend = 72 crore 2 .     Answer : Option B Explanation : Total money received by shareholders in 2007 $\rightarrow$ 600 crore Profit in 2007 = 3 x $600 \over 100$ = 18 crore Tax paid in 2007 = 18 x $8\over 100$ = 1.44 crore profit in the year 2011 = 80 crore Tax paid in 2011 = 80 x $10\over 100$ = 8 crore Ratio = $1.44\over 800$ = $9\over 50$ = 9 : 50 3 .     Answer : Option A Explanation : Money received in 2011 = 800 crore Money received in 2010 = 720 Profit = 720 x $8\over 100$ = 57.6 crore Tax paid = 57.6 x $10\over 100$ = 5.76 crore Total Dividend = Gross profit - Tax = 57.6 - 5.76 = 51.84 crore Dividend of Sequio Capital = $15\over 100$ x 51.84 = 7.776 = 7.78 crore 4 .     Answer : Option B Explanation : Money invested by Elevar Equity = 800 x $10\over 100$ = 80 crore Total Dividend = 800 x $10\over 100$ - Tax on profit = 80 - $80 \times 10\over 100$ = 72 crore Dividend received by Elevar Equity in 2011 = $72 \times 10\over 100$ = 7.2 crore Ratio = $80 \over 80 + 7.2$ = $800\over 87.2$ = $400\over 436$ = 400 : 436 5 .     Answer : Option D Explanation : Average number of applicants for IIT = $1.5 + 2.5 + 3 + 2.5 + 3.5 + 5\over 6$ = $18\over 6$ = 3 lakh Average no.of applicants for AIEEE = $2.5 + 3.5 + 4.5 + 4 + 5.5 + 7\over 6$ = $27 \over 6$ = 4.5 lakh Reqd % = $3\over 4.5$ x 100 = 66$2\over 3$% 6 .     Answer : Option B Explanation : In the year 2008, % increase is the Maximum. 7 .     Answer : Option A Explanation : Number of female applicants for State Entrance Exam in 2011 = 4 × 22.75 × 1000 = 91000 Number of female applicants for AIEEE in 2011 = 27000 × 7= 189000 Reqd % = $91000\over 189000$ x 100 = 48.14 8 .     Answer : Option D Explanation : Number of male applicants for State entrance Exam in 2010 = 5 × 78000 = 390000 Number of male applicants for State Entrance Exam in 2009 = 5.5 × 75000 = 412500 % decrease = $412500 - 390000\over 412500$ = $22500\over 412500$ = 5.45 % 9 .     Answer : Option D Explanation : Number of male applicants for IIT is not known; hence it can’t be determined