[pagalneha]

1. The ratio of milk and water in a 20 lt. mixture is 3:1. how much milk must be added so that this ratio become 4:1
2. Rs. 232 are divided among 480 children such that each boy gets 40 paise and each girl gets 60 paise. How many girls were there?
3. A certain sum of money is distributed among two friends in the ratio 5:11. If one of them got Rs. 1200 more than other, what was the total sum?
4. Divide Rs.395 among A,B,C such that B gets 25% more than A and 20% more than C.
5. Divide Rs. 730 among Sudha ,Kamla, and Kamal such that if Sudha gets Rs. 3, then Kamla gets Rs.4 and if Kamla gets Rs. 3.50, then Kamal gets 3.
6. Divide Rs. 4300 in A,B,C and D such that when A gets Rs. 9, then B gets Rs. 6 then C gets Rs 5 and when C Rs. 4 then D gets Rs. 3.
7. Divide Rs. 558 IN A,B, C such that if Rs. 4,6 and 8 are decreased respectively from their shares then the ratio of their shares is 2:3:7.
8. Divide Rs. 258 in 8 men , 6 women and 10 children such that a woman gets 3/2 of a child and a man gets twice of a woman. What is the share of each man , women and child?
9. Rs. 430 are divided among 45 persons consisting of men women and children. The combined shares of all men , all women and all children are as 12:15:16 whereas the individual share of a man , a woman, and a child are as 6:5:4. find what one man , one woman and one child gets.
10. A bag contains 1 rupee, 50paise and 10 paise coins. The ratio of 1 rupee and 50p coins is 2:5. the ratio of 50p and 10p coins 1s 4:9. If total money is Rs. 1125, find the number of each type of coins.


ANSWERS
1. 5lts.
2. 200
3. 3200
4. Rs 120,150,125.
5. Rs. 210,280,240
6. Rs. 1350,1200,1000,750
7. Rs.94,141,323
8. .Rs.18,9,6
9. Rs 12,10,8
10. 32,80,160.

[zeus]

Originally Posted by nehachaudhary

9. Robbery took place at 5:00a.m. and robbers took at speed of 60kmph at 9:00 a.m. police went after the chase @80kmph . A helicopter moved @120 kmph which used to go to the robbers and come back to police and again go back. Ultimately when robbers were caught, helicopter had moved how many kilometers toward the robbers.

though long...this solution is easy....

The robbers run for 4 hrs before the police start ie they cover 240km

thereafter the police catch up at 20kph => the cops will catch em in 12 hrs

thus the helicopter is in motion for these 12 hrs => ie in all it covers 12*120 kms = 1440kms

now let the chopper go back to police for x kms.....so total distnce covered by chopper = 240 + 2*X = 1440
so x = 600 towards police

=> total distance covered by chopper in direction of thieves =
240 + 600 = 840 kms

if u guys dont get this funda with "x" lemme know and ill try to make a graphical representation. Its kinda diff to visualise.

MOI

[pagalneha]

1. Between 2 stations the first , second and the third classes fare were fixed at first in the ratio of 8:6:3, but afterwards the 1st class fares were reduced by 1/6 and the 2nd class by 1/12. in a year, the number of first, second and third class passengers were respectively 9:12:26 and the money at the booking offices was 1088. How much was paid by first class passengers?
2. If Rs.150 be divided among 6 men, 12 women, and 17 boys so that 2 men receive as much as 5 boys and 2 women as much as 3 boys, how much will each man, woman and boy receive?
3. Annual incomes of A and B are in the ratio 4:3 and their annual expenses bear a ratio of 3:2. If each of them saves Rs. 600 at the end of the year, find the annual income of each.
4. A student appeared in an examination with hindi ,english, physics, chemistry and maths. As subjects. He got the marks in these subjects in the ratio of 5:3:4:6:7. the maximum marks in each subjects were 100. he got 70% marks in aggregate in all subjects. if he gets 60% marks are essential for getting first class in each subjects, then point out the subjects in which he got first division.
5. The annual income of A,B,C taken together is Rs. 33600.A spends 80% of his income , B spends 87.5% of his income and C spends 90% of his income. if their annual savings are as 16:17:12, find the annual saving of each.
6. At the beginning of a term, the ratio of the number of boys in a school under 15 years to those over 15 years age was 5:4. At the end of term the ratio was 7:8 as 20 of the boys had reached the age of 15 during the term. Find the total number of boys in the school , given that no boy left or was admitted during the term.
7. A man gives 3/8 of his property to one son and 30% of the remainder to another . he then distributed the remaining property among three charities in the proportion 2:5:7.The difference of his son’s share is Rs. 1800. what was the value of his property and how much was given to each charity?


Answers.
1. Rs.320.
2. Rs.7.50,4.50,3
3. Rs.2400,1300
4. hindi 70, chem.. 84, maths 98
5. 1600, 1700 1200
6. 225
7. Rs.600,1500,2100

[amitverma]

Originally Posted by nehachaudhary

1. Between 2 stations the first , second and the third classes fare were fixed at first in the ratio of 8:6:3, but afterwards the 1st class fares were reduced by 1/6 and the 2nd class by 1/12. in a year, the number of first, second and third class passengers were respectively 9:12:26 and the money at the booking offices was 1088. How much was paid by first class passengers?

(8/6)x , (6/12)x , 3x --- fare of each class
9y , 12y , 26y ---- no of passengers in each class

hence total revenue

[(8/6)*9 + (6/12)*12 + 3*26]xy = 1088

96xy = 1088

hence share of first class passengers 12xy = (1088/96)*12
= 136 ???? where did i go wrong ??

1. Rs.320.

3. Annual incomes of A and B are in the ratio 4:3 and their annual expenses bear a ratio of 3:2. If each of them saves Rs. 600 at the end of the year, find the annual income of each.

i'm getting as 2400 and 1800 ,,, mebbe typing mistake

5. The annual income of A,B,C taken together is Rs. 33600.A spends 80% of his income , B spends 87.5% of his income and C spends 90% of his income. if their annual savings are as 16:17:12, find the annual saving of each.

x+ y + z = 33600
0.2x : 0.125y : 0.1 z == 16: 17: 12

next????

[anonymous_user]

Originally Posted by amitverma

(8/6)x , (6/12)x , 3x --- fare of each class
9y , 12y , 26y ---- no of passengers in each class

hence total revenue

[(8/6)*9 + (6/12)*12 + 3*26]xy = 1088

96xy = 1088

hence share of first class passengers 12xy = (1088/96)*12
= 136 ???? where did i go wrong ??

Hey amit i think u ought to read the question carefully
If it says the fare is reduced by 1/6th then it means that new fare is 5/6th of the original one and not 1/6th of the original . Similary for the other.

Originally Posted by amitverma

5. The annual income of A,B,C taken together is Rs. 33600.A spends 80% of his income , B spends 87.5% of his income and C spends 90% of his income. if their annual savings are as 16:17:12, find the annual saving of each.


x+ y + z = 33600
0.2x : 0.125y : 0.1 z == 16: 17: 12

next????

cleary savings of A , B, c are 20% 12.5% and 10% respectively
This gives the ratio 8a:5b:4c assuming the respective salaries as a,b,c
Again since the saving ratio is given as 16:17:12 thus we can write

8a/16=5b/17=4c/12=k(suppose)
Also we have the information that a+b+c=33600
Solving this we get the required answer

[pagalneha]

1. It was intended that Rs. 19.50 should be divided between three boys A, B,C, in the ratio of 2:3:4 but by mistake the distribution was made in the proportion of 1/2: 1/3:1/4. how much does B gain or loose by error?
2. Three persons A,B and C agree to pay their total bill in the proportion 4:5:6. a pays the first day’s bill which amounts to Rs. 45.75;b the second days bill which amounts to 59.60 and C the third day’s bill which amounts to Rs. 74.65. how must they settle their accounts?
3. a employer reduces the number of his employs in the ratio of 9:8 and increases the wages in the ratio of 14:15..Find in what ratio the wage bill is increased or decreased and find the difference in the amount of the bill, if it was previously Rs. 1680.
4. a sum of Rs. 2368 was divided among 8 men, 10 women and 12 children in such a way that each man got 25% more than a woman and each women got 25% more than a child. How much did each woman get?
5. A man , his wife and son worked in a garden . the man for 2 days, his wife for 3.5 days and the boy for 4 days. Their daily wages were, man’s to women’s in the ratio of 7:4 and the man’s to boy in the ratio of 7 to 3. their total earnings amounted to Rs. 60. find the daily wages of each.
6. A tin is full of wine. out of this tin 4 gallons of wine are taken out and 4 gallons of water are added. After this 4 gallons of mixture were taken out and again 4 gallons of water were added. Now ratio of wine and water in the tin 36:13. find the volume of tin?
7. If an election in which each elector may vote for 2 candidates, half of the electors vote for a but divide their other votes between B,C, D in the ratio 3:2:1. of the remainder , half vote for B and divide their votes between C and D, in the ratio of 2:1. Of the remainder, half vote for C and D. and the remainder 840 in number do not vote. How many votes does each candidate get?

Answers.
1. Rs. 0.50 loss
2. A to C Rs. 2.25, B to C Rs. 0.40
3. 21:20,Rs.80
4. Rs.80
5. Rs. 10.50, 6,4.50
6. 28 gallons
7. 3360,3360, 3080, 1960.

[pagalneha]

1. The price of cloth is increased by 20% . By how much % must a family reduce the consumption of the cloth so that their expenditure may remain the same.
2. A reduction of 40% in the price eggs would enable a purchaser to purchase 48 more eggs more for Re. 1. Find the reduced price per dozen . Also find the original price.
3. If the price of sugar falls by 12.5%, a person can buy 9 kgs. More sugar for Rs. 126 than before. If the price had risen by 12.5%. How much less sugar could ha have bought for the same sum?
4. A candidate secured 20% marks in an examination and failed by 10 marks . another secured 42% marks and got 1 mark more than the marks required to pass the examination. Determine the maximum number of marks and the % necessary to pass the examination.
5. In an examination 40% marks are required to pass. A obtains `0% less than the no. of marks required to pass. B obtains 11 1/9% less than A, and C 41 3/17% less than the no. of marks obtained by A and B together.Does C pass or fail?
6. In an examination 75% candidates passed in English and 70% candidates passed in maths, 23% candidates failed in both subjects. If 136 candidates passed in both the subjects, find out the no. of candidates that appeared in the examination.
7. The population of a town increases by 10% every year for 2 yrs. And then decreases by 10% every 2 yrs. If the population just before 4 years was 10000, what was it after 4 years.
8. At an election , a candidate secures 40% of the total votes but is defeated by the other candidate by 300 votes. Find out the total number of votes polled.
9. 10%of the soldiers of an army are killed in the battle. 105 of the remaining soldiers died of disease and 10% of the remaining were disabled. Now only 72900 soldiers are left in the army. How many soldiers were there in all in the army in the beginning.
10. Mohan saves 20% of his salary . due to dearness his monthly expenditure increases by 20% and then he is able to save only Rs. 20. find his monthly salary.



Answers.
1. Rs. 16 2/3
2. new 10 ps, price 16 2/3 ps.
3. 7kg
4. 40%
5. pass
6. 200
7. 98010
8. 1500
9. 1000000
10. Rs 500

[bhars18]

The price of cloth is increased by 20% . By how much % must a family reduce the consumption of the cloth so that their expenditure may remain the same.

A small tip : For these type of questions, go by fractions.
Increase in cloth's price = 20% = 1/5. (say N/D)
Therefore decrease in consumption required to make the same expenses is N/(N+D). So, here it is 1/(1+5) = 1/6 = 16.666%

Bharathi.

[pagalneha]

Originally Posted by BharsRulez

A small tip : For these type of questions, go by fractions.
Increase in cloth's price = 20% = 1/5. (say N/D)
Therefore decrease in consumption required to make the same expenses is N/(N+D). So, here it is 1/(1+5) = 1/6 = 16.666%

Bharathi.

is no need for any type of calculation in this q. just refer to the % table u have the ans. in just 5 sec.

[pagalneha]

1. In a direct election between 2 contestants for the post of secretary , 4% of the total votes cast are declared to b illegal. one of the contestants secures 55% of the valid votes and wins with a majority of 240 votes. Find the total number of votes cast.
2. 2 nos. are greater than the 3rd number no. by 25% and 20% respectively. What % of first number is the 2nd no.?
3. The no. of boys and girls who appeared at an examination were 16:9 and the no. of boys and girls passing the examination were in the ratio 4:3 . if 75% of the girls passed the exam , find the % of boys who passed the examination and the % of all candidates passing the candidates.
4. Entry fee in an examination was Re. 1 . later this was reduced by 25% which increased the sale by 20% Find the % increase in the number of visitors.
5. 2 candidates contested in an election . At the election 10% of the ppl on the voting list did not vote, and 60 votes recorded were rejected as illegal. The majority of the successful candidates was 308 and it was found that he had been supported by 47% of the whole no. on the voters list . what was the number of legal votes recorded by each candidate?
6. In an examination paper of 5 questions , 5 % of the candidates answered all of them and 5% none. Of the rest , 25% answered only 1 question and 20% answered 4. If 24.5% of the entire number answered only 2questions and 200 candidates answered only 3 questions , how many competed?
7. The total population of a country is 2.94*10^6 out of which 1.50 million are male and the rest females. Out of every 1000males, 98 can read and write , but only 5.3% of total population can do so. Find what % of women in the whole women population of the country can read and write.
8. A mans taxable income is Rs 28600. In a certain year the income tax for taxable income over Rs. Rs. 25000 but not exceeding Rs. 30000 is computed according to the following rule- “Total Income Tax = tax – surcharge where surcharge =15% of the tax and tax = Rs. 3200+30% of the amount by which taxable income exceeds Rs. 25000.” Determine the tax he must pay.


Answers.
1. 2500
2. 96%
3. 56.25%,63%
4. 60%
5. 2914,2606
6. 800
7. 0.6215%
8. 4922