Directions (Q. 1-5): These questions are based on the following pie-chart.
Percentage distribution of players who play Cricket and Volleyball in seven different institutions - M, N,O, P, Q R and S.
a) 1543
b) 1924
c) 1334
d) 2234
2). What is the total number of players from Institute P playing Cricket and Volleyball together?
a) 1362
b) 1632
c) 1236
d) 2163
e) 1363
3). What is the ratio of the number of Cricket players to the number of Volleyball players in Institute S?
a) 151 : 81
b) 115 : 18
c) 119 : 97
d) 115 : 81
e) None of these
4). The ratio of the number of Cricket players in Institute N to the number of Volleyball players in Institute R is?
a) 230 : 513
b) 203 : 315
c) 302 :531
d) 320:513
e) 240 :317
5). What is the percentage of Cricket players with respect to Volleyball players from Institute Q and R taker together?
a) 87.54%
b) 67.72%
c) 77.44%
d) 70.14%
e) None of these
Directions (Q. 6-10): Study the line graph carefully to answer the following questions.
Percentage profit earned by two shops over the years
Percentage profit = [(Selling price - Cost price ) / Cost price] x100
6). If shop A sold 3470 books in the year 2012 at the price of Rs.36 per book, then what is the cost price of all the books together?
a) Rs. 82300
b) Rs. 88320
c) Rs. 83280
d) Rs. 38280
e) None of these
7). If the amount of profit earned by shop B in the year 2014 was Rs. 36800, then what was the selling price of all the books in that year?
a) Rs. 102800
b) Rs. 128800
c) Rs. 182800
d) Rs. 188200
e) Rs. 132800
8). What is the approximate percentage rise in the percentage profit of shop A in the year 2011 from the previous year?
a) 50%
b) 40%
c) 70%
d) 80%
e) 45%
9). If in the year 2013, the total selling price of shop A is equal to the total cost price of Shop B, then what is the ratio of their selling prices?
a) 7:11
b) 7:9
c) 3:5
d) 2:3
e) 5:3
10). Which of the following statements is/are definitely true?
a) Percentage profit earned by shop A in the year 2012 and in 2014 are the same.
b) Shop B earned the lowest percentage profit in the year 2011.
c) The profit percentage of shop A and B are the same in the year 2014.
d) All the above
e) None of these
Answer Key:
1).c 2).a 3).d 4).a 5).c 6).c 7).b 8).a 9).d 10).c
Solution:
1). C) Total number of players playing Cricket in Institutes M and Q together
= 4600 ×[ (13+16) / 100] = 4600 × (29/100) = 1334
2). A) Number of players playing Cricket in Institute P = 4600 x (12/100) = 552 Number of players playing Volleyball in Institute P = 5400 x (15/100) = 810
Total number of players = 552 + 810 = 1362
3). D) Number of players playing Cricket in Institute S = 4600 x (20/100) = 920 Number Of players, playing Volleyball in Institute S = 5400 x (12/100) = 648
Reqd ratio = 920 : 648 = 115 : 81
4). A) Number of players playing Cricket in Institute N= 4600 x (10/100) = 460 Number of players playing Volleyball in Institute R = 5400 x (19/100) = 1026 Reqd Reqd ratio = 460 : 1026 = 230 : 513
5). C) Reqd % = [4600 × (16+14) × 100] / [5400 × (14+19)] %
= (4600 × 30 × 100) / (5400 × 33) = 77.44%
6). C) In the year 2012 for shop A
= 50/100 = (36 — CP) / CP
or, CP = 72 — 2CP or, 3CP = 72
CP = Rs. 24
Now, CP of 1 book = Rs. 24
CP of 3470 books = 3470 x 24 = Rs. 83280
7). B) In the year 2014 for B
Profit % = (Profit / CP) × 100% [ Profit = SP— CP]
or, 40 = (36800/CP) × 100
CP = Rs. 92000
[SP= CP + Profit]
SP = 92000+36800 = Rs. 128800
8). A) Percentage profit of Shop A in the year 2011 = 60% and in the year 2010 = 40%
Therefore required percentage increase = [(60-40) / 40] × 100 = (20/40) x100 =50%
9). D) In the year 2013, let the total selling price of Shop A = Total ,cost price of shop B = Rs. x.
Now, in 2013 for Shop B.
50/100 = (SP— x) / x
or, x = 2 × SP - 2x
or, 3x=2 x SP
SP = 3x/2
Now, requited ratio
= SP of Shop A : SP of Shop B
= x : 3x/2 = 2 : 3
10). C) Percentage of profit of Shop A decreases from 2012 to 2014. So, statement (a) is incorrect.
Shop B earned, the lowest percentage of profit in the year 2015, not in 2011. So, statement (b) is incorrect
In the year 2014, percentage profit earned by Shop. A and B. are the same. So, statement (c) is correct.
