Posted: Fri Jun 09, 2006 6:29 am Post subject: Percentages
1) The owner of an art shop conducts his business in the following manner. Every once in a while he raises his prices by X%, then a while later he reduces all the new prices by X%. After one such up-down cycle, the price of a painting decreased by Rs. 441. After a second up-down cycle, the painting was sold for Rs. 1944.81. What was the original price of the painting (in Rs.)? (CAT, 2003)
1) 2756.25 2) 2256.25 3) 2500 4) 2000
2) In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II, III. 50% of those asked favoured proposal I. 0% favoured proposal II and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, wht percentage of those asked favoured more than one of the three proposals? (CAT, 1999)
1) 10 2) 12 3) 17 4) 22
[quote="digitaltejas"]1) The owner of an art shop conducts his business in the following manner. Every once in a while he raises his prices by X%, then a while later he reduces all the new prices by X%. After one such up-down cycle, the price of a painting decreased by Rs. 441. After a second up-down cycle, the painting was sold for Rs. 1944.81. What was the original price of the painting (in Rs.)? (CAT, 2003)
1) 2756.25 2) 2256.25 3) 2500 4) 2000
2) In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II, III. 50% of those asked favoured proposal I. 0% favoured proposal II and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, wht percentage of those asked favoured more than one of the three proposals? (CAT, 1999)
1) 10 2) 12 3) 17 4) 22[/quote]
1)You have solve a quadratic in term sof the original price, 'P' of the painting.
The trick is in solving it this way.
P^2 -(2*441+441^2/100)*P +441^2=0
P=2756.25.
2) I feel this question is posted incorrectly so much so that '0%' favoured proposal II????
Posted: Tue Jul 04, 2006 2:36 pm Post subject: It should be 30% instead of 0%
2) In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II, III. 50% of those asked favoured proposal I. 30% favoured proposal II and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, wht percentage of those asked favoured more than one of the three proposals? (CAT, 1999)
1) 10 2) 12 3) 17 4) 22
1) Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate?
a) 22.5 b) 27.5 c) 32.5 d) 37.5
2) In a city, 35% of the population if composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population.
a) 324138 b) 349680 c) 509940 d) None of these
3) Prices register an increase of 10% on foodgrains and 15% on other items of expenditure. If the ratio of an employee's expenditure on foodgrains and other items be 2 : 5, by how much should his salary be increased in order that he may maintain the same level of consumption as before, his present salary being Rs. 2590?
a) 323.75 b) 350 c) 360.50 d) None of these
4) A district has 64000 inhabitants. If the population increases at the rate of 5/2 % per annum, then the number of inhabitants at the end of 3 years will be?
a) 68911 b) 68921 c) 69200 d) 70000
Posted: Wed Jul 05, 2006 12:11 pm Post subject: Re: It should be 30% instead of 0%
[quote="digitaltejas"]2) In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II, III. 50% of those asked favoured proposal I. 30% favoured proposal II and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, wht percentage of those asked favoured more than one of the three proposals? (CAT, 1999)
1) 10 2) 12 3) 17 4) 22[/quote]
The correct answer is 17,option-3.
Draw the Ven Diagram and notice that the # that prefer exactly two magazines is 50+30+20-10-78=12
The required quant is 12+5( those who prefer all three)=17.
1) Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate?
a) 22.5 b) 27.5 c) 32.5 d) 37.5
2) In a city, 35% of the population if composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population.
a) 324138 b) 349680 c) 509940 d) None of these
3) Prices register an increase of 10% on foodgrains and 15% on other items of expenditure. If the ratio of an employee's expenditure on foodgrains and other items be 2 : 5, by how much should his salary be increased in order that he may maintain the same level of consumption as before, his present salary being Rs. 2590?
a) 323.75 b) 350 c) 360.50 d) None of these
4) A district has 64000 inhabitants. If the population increases at the rate of 5/2 % per annum, then the number of inhabitants at the end of 3 years will be?
a) 68911 b) 68921 c) 69200 d) 70000[/quote]
Hi;
1) Correct answer is 32.5(130/400*100)
2)Correct answer is 324138(a)
The female population is 31.2+2.1+11.2=44.5% of the total.
3)The correct answer is 351.5.(( 1.1*2+1.15*5)-7)*2590/7
