Official Quant thread for CAT 2013

@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 10%???
3:19 (rs 58: rs 66)?
@iLoveTorres No!!!
@maroof10 said:
A vessel is full of mixture of kerosene and petrol in which there is 18% kerosene. 8 litres are drawn off and then the vessel is filled with petrol.If the kerosene is now 15%,how much does the vessel hold? plz suggest a quicker way to approach this problem..
The reduction is 3% from 18% so 3/18 = 1/6th reduction by 8 Litre. SO total capacity = 8.6 = 48
@Faruq said:
Sunil and Ajay went to a pub and ordered two cocktails, each of which comprised of bear, vodka and wine in the ratio 2 : 1 : 2. Sunil, a regular boozer, fooled Ajay by drinking 17 ml from his drink and replacing the same quantity by soda. If after replacement, the percentage of wine in Ajay €™s glass was 30%, what was the quantity (in ml) of drink served in each cocktail?A. 51 B. 68 C. 85 D. 40 E. Cannot be determined
68.

After replacement, the beer:vodka:wine is 30:15:30% adding to 75%. So the 17 ml soda is the remaining 25% of the drink = > total = 17 * 4 = 68

regards
scrabbler
@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 10%???
Not possible....even 66@10% does not reach 75. Any mixture will cost less than 66!

regards
scrabbler

@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 10%???
75/1.1 = 68.XX but this is greater than 66.
Some problem with the data
@pakkapagal said:
yar yahi doubt hai...if girls give two coins to the boys i.e 1.5 rs and boy gives 1 coin to girl i.e 50 paise to bhi to condition satisy ho rahi he na?
Won't be exchange in that case. Exchange implies ek do, ek lo...

regards
scrabbler

@scrabbler No thre is a answer!!!
@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 10%???
not possible!

58*x + 66*y = 75/1.1*(x + y)
63.8*x + 72.6*y = 75*x + 75*y???

@scrabbler @catahead
The Options
a) 3:1
b) 2:3
c) 3:2
d) 1:3
No problem with the data....i crosschecked twice!!!
@jashholmes said:
@scrabbler No thre is a answer!!!
Yes, if you allow negative proportions of the 58 Rs.

(Of course, if you are getting almonds in today's world at Rs 58 a kg, then anyway it is already imaginary....how does it matter if it is also negative...)


regards
scrabbler

In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 25%???
@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 25%???
3:1

regards
scrabbler

@Faruq said:
Sunil and Ajay went to a pub and ordered two cocktails, each of which comprised of bear, vodka and wine in the ratio 2 : 1 : 2. Sunil, a regular boozer, fooled Ajay by drinking 17 ml from his drink and replacing the same quantity by soda. If after replacement, the percentage of wine in Ajay €™s glass was 30%, what was the quantity (in ml) of drink served in each cocktail?A. 51 B. 68 C. 85 D. 40 E. Cannot be determined
68 ?

2/5*x - 2/5*17 = .3*x
x = 68
@jashholmes said:
@scrabbler@cataheadThe Optionsa) 3:1b) 2:3c) 3:2d) 1:3No problem with the data....i crosschecked twice!!!
Try again, 3rd time lucky ho jayega...

regards
scrabbler

@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 25%???
sp =75
cp = 60
58------------66
- - 60 - -
6 ---------- 2

ratio is 3:1
@scrabbler Hw???
@jashholmes

Shld be 3:1

SP of 1 kg of Mixture= 75..Gain% = 25...Thus, CP of 1 kg of Mixture= 4/5*75 = 60/-..

Nw, Let x kg of lower priced nd y kg of higher priced almonds be mixed..

Given, 60 = (58x + 66y)/(x+y), or, 3y = x

Thus, Required Ratio = x:y = 3:1..
@hedonistajay Hmm...got it!!! Thnx!!!
@jashholmes said:
In what ratio should a shopkeeper mix almonds costing Rs 58 per kg with almonds costing Rs 66 per kg, such that by selling them at 75 per kg, the shopkeeper makes a profit of 25%???
3 : 1 ?

let the quantity of almonds costing 58 rs be x
..................................................66 rs be y

58*x + 66*y = 75/1.25*(x + y)
x/y = 3:1