percentage problems

palagg · Joined: 22 Feb 2006 Posts: 12

1. At an election, the candidate who got 56% of the votes cast won by 144 votes. Find the total number of voters on the voting list if 80% people cast their vote and there were no invalid votes.
a) 360 b) 720 c) 1800 d) 1500

2. In a class, 25 % of the students were absent for an exam. 30% failed by 20 marks and 10% just passed because of grace marks of 5. find the average score of the class if the remaining students scored an average of 60 marks and the pass marks are 33(counting the final scores of the candidates)
a) 37.266 b) 37.6 c) 37.8 d) 36.93

3. Hans and Bhaskar have salaries that jointly amount to Rs.10000 per month. They spend the same amount monthly and it is found that the ratio of their savings is 6:1. which of the following is Hans’s salary?
a) 6000 b) 5000 c) 4000 d) 3000

4. Vicky’s salary is 75% more than Ashu’s. Vicky got a raise of 40% on his salary while Ashu got a raise of 25% on his salary. By wat percent is vicky’s salary more than ashu’s?
a) 96 b) 51.1 c) 90 d) 51.1

5. 4/5 th of the voters in Bellary promised to vote for Sonia Gandhi and the rest promised to vote for Sushma Swaraj. Of these voters, 10% of the voters who had promised to vote for Sonia Gandhi, did not vote on the election day while 20% of the voters who had promised to vote for Sushma Swaraj did not vote on the election day. Wat is the total number of votes polled if sonia Gandhi got 216 votes?
a) 200 b) 300 c) 264 d) 100

6. the entrance ticket at the Minerva theatre in Mumbai is worth Rs.250. wen the price of the ticket was lowered, the sale of the tickets increased by 50% while the collections decreased by 17.5%. find the deduction in the ticket price?
a) 150 b) 112.5 c) 105 d) 120

7. Bill ambani started off a business with very little capital. In the first year he earned a profit of 50% and donated 50% of the total capital( initial capital + profit) to a charitable organization. The same course was followed in the 2nd and 3rd year. If at the end of 3 years he is left wid Rs.16875, then find the amount donated by him at the end of 2nd year.
a) 45000 b) 12500 c) 22500 d) none

8. a machine deprecates in value each year at the rate of 10% of its previous value. However, every second year there is some maintainance work so that in that particular year, deprication is only 5% of its previous value. If at the end of the forth year, the value of the machine stands at Rs.146205, then find the value of machine at the start of first year.
a) 1, 90,000 b) 2, 00,000 c) 1, 95,000 d) 2, 10,000

9. after receiving 2 successive raises, Hursh’s salary became equal to 15/8 times of initial salary. By how much percent was the salary raised the first time if the second raise was twice as high(in percent) as the first?
a) 15% b) 20% c) 25% d) 30%

10. Prema goes to a shop to buy sofa costing Rs.13080. the rate of sales tax is 9%. She tells the shopkeeper to reduce the price of sofa so that she has to pay Rs.13080 inclusive of taxes. Find the %age reduction needed in price of sofa to satisfy her requirement?
a) 8.33% b) 8.26% c) 9% d) 8.5%

11. the ratio of Jim’s salary for October to his salry for November is 1.5:1.333 and the ratio of salary for November ato December is 2:2.6666. the worker got 40 rs. More for December than for October and received a bonus constituting 40% of salary for 3 months. Find the bonus.( assume that the no. of workdays is same in every month)
a) 368.888 b) 152.5555 c) 265.6 d) none

PLEASE EXPLAIN EVERY ANSWER IN DETAIL

Saurabh123 · Joined: 28 Jun 2006 Posts: 4 Location: Fbd

1. d)
winner - 56%
loser - 44%
so, 12% = 144 votes, calculate what is 100% votes. This corresponds to 80% of voters.
So, total no of voters = 144*100*100/12/80 = 1500
(The answer only under the assumption that 2 candidates contested, o'wise data is insufficient)

2. my answer is coming out to be around 32.1%
this way...
let total students be 100
av = 75 *(30/100)*13 + 75*(10/100)*28 + 75*(60/100)*60
----------------------------------------------------
100
= 32.1%
plz correct me if i m wrong

3. data is insufficient....
we'll have 2 equations and 3 variables-> 2 salaries and saving/expenditure
not possible to solve.
plz correct and clarify me if i m wrong

4. a)
Vicky Ashu
initial: 175 100
raise 245 140
% = 96%

5) b)
total = 216*(100/90)*(5/4) = 300

6) b)
lets say 1 ticket was originally sold, collection = 250
finally, 1.5 tickets were sold for = 250*(82.5/100) /* dont calculate yet*/
deduction in prise, thus = 250 - 250*(82.5/100) = 112.5 Rs

7) c)
1st yr 2nd yr 3 yr
150 75*(3/2) 75*(9/ Cool

100 ------> 75 -----------> 75*(3/4) ------------> 75*(9/16) (equiv. of left capital)
| | |
75 75*(3/4) 75*(9/16)

75*(9/16) corresponds to 16875, so 75*(3/4) wld correspond to 22500 Rs

Cool

d)
-10% -10% -5% -10%
orig ----------->..------------>..---------->...--------> 146205
total depriciation = -31.55% (using a+b+ab/100)
so, original cost ~ 2,10,000

9) c)
100 -----> 187.5
work on options given....25 wld give the answer

10) b)
new selling price = 13080*(100/129)
hence reduction % = 9*(100/109) = 8.26%

11) cldn't solve now, not enough clear....need to discuss....

shaji

[quote="Saurabh123"]1. d)
winner - 56%
loser - 44%
so, 12% = 144 votes, calculate what is 100% votes. This corresponds to 80% of voters.
So, total no of voters = 144*100*100/12/80 = 1500
(The answer only under the assumption that 2 candidates contested, o'wise data is insufficient)

2. my answer is coming out to be around 32.1%
this way...
let total students be 100
av = 75 *(30/100)*13 + 75*(10/100)*28 + 75*(60/100)*60
----------------------------------------------------
100
= 32.1%
plz correct me if i m wrong

3. data is insufficient....
we'll have 2 equations and 3 variables-> 2 salaries and saving/expenditure
not possible to solve.
plz correct and clarify me if i m wrong

4. a)
Vicky Ashu
initial: 175 100
raise 245 140
% = 96%

5) b)
total = 216*(100/90)*(5/4) = 300

6) b)
lets say 1 ticket was originally sold, collection = 250
finally, 1.5 tickets were sold for = 250*(82.5/100) /* dont calculate yet*/
deduction in prise, thus = 250 - 250*(82.5/100) = 112.5 Rs

7) c)
1st yr 2nd yr 3 yr
150 75*(3/2) 75*(9/ Cool

100 ------> 75 -----------> 75*(3/4) ------------> 75*(9/16) (equiv. of left capital)
| | |
75 75*(3/4) 75*(9/16)

75*(9/16) corresponds to 16875, so 75*(3/4) wld correspond to 22500 Rs

Cool

d)
-10% -10% -5% -10%
orig ----------->..------------>..---------->...--------> 146205
total depriciation = -31.55% (using a+b+ab/100)
so, original cost ~ 2,10,000

9) c)
100 -----> 187.5
work on options given....25 wld give the answer

10) b)
new selling price = 13080*(100/129)
hence reduction % = 9*(100/109) = 8.26%

11) cldn't solve now, not enough clear....need to discuss....[/quote]

Hi;
2) correct answer is 37.6(28.2/.75)

8)correct answer is b

10) correct answer is c. Indian sales tax dept does not approve this.

apgo2000 · Joined: 13 Jul 2006 Posts: 15

someone plz explain q2) in a class, 25% of the students were absent for an exam. 30% failed by 20 marks and 10% just passed because of grace marks of 5. find the average score of the class if the remaining students scored an average of 60 marks and the pass marks are 33.

i have some more questions:

1) the weight of an iron bucket increases by 33.33% when filled with water to 50% of its scapacity. which of these may be 50% of the weight of the bucket when it is filled with water (assume the weight of bucket and tis capacity in kg to be in integers)
a) 7 kg b) 6 kg c) 5 kg d) 8 kg

2) a salesman is appointed on the basic salary of ts. 1200 per month and the condition that for everty sales of Rs. 10000 above Rs. 10000 he will get 50% of the basic salary and 10% of the sales as a reward. htis incentive scheem does not operate for the first Rs 10000 of sales. what should be the vaslude of sales if he wants to earn Rs. 7600 in a month
a) 60000 b)50000 c)40000 d)none of these

plz guys help me if u can. and plllllzzzz tell me the logic not only the answer.

CZ@@@H@@@R · Serious about CAT Joined: 14 Jan 2006 Posts: 64

apgo2000 · Joined: 13 Jul 2006 Posts: 15

[quote="CZ@@@H@@@R"]