There are 2 category of rice 1) @ 60rupee per Kg 2) @ 40 rupee per Kg. The ratio of these 2 rices ( first taken first and second second in the ratio) for making the avg. rate of rice 55 rupee per Kg will be

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02 Aug 2012 mixture There are 2 category of rice 1) @ 60rupee per Kg 2) @ 40 rupee per Kg. The ratio of these 2 rices ( first taken first and second second in the ratio) for making the avg. rate of rice 55 rupee per Kg will be: OPtion
1) 2:3
2) 3:2
3) 1:3
4) 3:1
5) 2:1
6) 1:2
7) 3:4
8) 4:3
9) 2:5
10) none of these; Correct Option: 4 Best Solution (20)

phani 11 years AGO

as per mixtures and alligations,
60 40
\ /
55
/ \
15 5 =15:5=3:1

Like? Yes (8) | No (1)

Aman 11 years AGO

by alligation method, ratio will be

(55-40): (60-55) or 15:5 or 3:1

Like? Yes (3) | No

kishan vaghasiya 11 years AGO

by option:
(3/4)*60+(1/4)*10=15*4+10*1=55.
hence3:1

Like? Yes (2) | No

asim 11 years AGO

let qty rice1 = x & rice2 = y;
now 60 * x + 40 * y = 55 * ( x + y )
i.e 5 * x = 15 * y
hence ratio is 3:1 ANS.

Like? Yes (1) | No

krishnamurthy 11 years AGO

3(60)+1(40)=220
so 220/4=55
so the option (4)3:1 is correct

Like? Yes (1) | No

prem kumar.s 11 years AGO

avg. rate of rice 55 rupee per Kg
so 4 kg rice=220rs
3:1
180+40=220

Like? Yes (2) | No (1)

Manikandan 11 years AGO

First category rice 60
second category rice 40
avg cost price needed 55
60-55=5
55-40=15

15:5=3:1
3:1 is the ans which is 4 in the given options.

Like? Yes (1) | No

Janani 11 years AGO

60/kg 40/kg
mixture of both: 55/kg
15:5
therefore 3:1 is the answer.

Like? Yes (1) | No

ajitha 11 years AGO

3 kilos of 1st catagory and 1 kilo of 2nd catagory
will make the average price of new one is 55 rupees

Like? Yes (1) | No

Arunkrishnan P 11 years AGO

3*60 + 1*40 = 220
220/(3+1) = 55
=> avg price = 55 for the ratio 3:1

Like? Yes (1) | No

mahmut çelebi 11 years AGO

x= 60rupee per Kg
y= +0rupee per Kg
60x+40y=55x+55y
x=3y
x/y=3
So ratio is 3:1

Like? Yes (1) | No

phani 11 years AGO

as per alligation and mixture,(55-40)/(60-55)=3:1

60 40
55
=15:5=3:1

Like? Yes (1) | No (1)

jomon v j 11 years AGO

let x kg of first type(rs.60) and y kg of second type(rs.40)

then 60x+40y= 55(x+y)

simplifying 5x=15y

x/y=15/5=3/1

Like? Yes (1) | No (1)

Madhu 11 years AGO

By the rules of alligation,
cost of 1st category rice=6000 paise(60 rupees)
cost of 2nd category rice=4000 paise(40 rupees)
average of these 2 categories's cost =5500 paise(55rupee)

Quantity of 1st category rice=(average price)-(cost of 2nd kind rice)

so,qunatity of 1st kind=5500-4000=1500

Quantity of 2nd category rice=(cost of 1st category rice)-(average price)

so,qunatity of 2nd kind=6000-5500=500

then,quantity of 1st=quantity of 2nd
1500=500
hence,3:1

Like? Yes (1) | No (1)

roshan kumar 11 years AGO