Total cost of 1 kg apple, 1 kg grape and 2 kg banana is 210 Rupees. If cost of fruits are in the ord

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07 Nov 2014 Probability

Total cost of 1 kg apple, 1 kg grape and 2 kg banana is 210 Rupees. If cost of fruits are in the order as given below
Cost of banana (1kg) =< Cost of grape (1kg) =< Cost of apple (1kg)
and all costs are multiple of 10 Rupee and minimum and maximum cost of any fruit per Kg is ranging from 30 Rupees to 90 Rupees. Number of possible cases are

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10)10

Solution

According to given condition
1[10a] + 1[10g] + 2[10b] = 210
a + g + 2b = 21
as given
b =< g =< a
So possible cases are
1)
b = 3; g = 7; a = 8
b = 3; g = 6; a = 9

2)
b = 4; g = 6; a = 7
b = 4; g = 5; a = 8
b = 4; g = 4; a = 9

3)
b = 5; g = 5; a = 6

Option 6) 6

Correct Option: 6 Best Solution (11)

Deepak prajapati   10 years AGO

case1=50+100+30*2
case2=60+90+30*2
case3=70+80+30*2
case4=50+80+40*2
case5=60+70+40*2
case6=50+60+50*2
so total possible way will be 6

Like? Yes (9) | No (1)  

SOURABH   10 years AGO

following are possible cost of banana,grapes,apples respectively
1 case:30,60,90
2 case:30,70,80
3 case:40,60,70
4 case:40,50,80
5 case:40,40,90
6 case:50.50,60

Like? Yes (3) | No (1)  

Sravanthi   10 years AGO

90+60+2(30)=210
90+40+2(40)=210
80+70+2(30)=210
80+50+2(40)=210
70+60+2(40)=210
60+50+2(50)=210

Like? Yes (3) | No (1)  

PAWAN KUMAR   10 years AGO

Starting with the least value ,
for banana@ 30/kg, we have two possibilities:
(i) grapes@ 70/kg and apple@ 80/kg,
(ii) grapes@ 60/kg and apple@ 90/kg.

For banana@ 40/kg, we have 3 possibilities :
(i) grapes@ 40/kg and apple@ 90/kg ,
(ii) grapes@50/kg and apple@ 80/kg ,
(iii) grapes@ 60/kg and apple@ 70/kg

for banana@50/kg , we have only one possibility
i.e, grapes@ 50/kg and apple@ 60/kg. Ans.

Like? Yes (3) | No (1)  

Akshay   10 years AGO

(1)30,60,90
30,70,80
40,50,80,
40,60,70,
40,40,90
50,50,60

Like? Yes (2) | No (1)  

Tark Patel   10 years AGO

Making equation let A for Apple, B for Banana and G for Grape,

A + G + 2B = 210

ans condition is B =< G =< A

range is [ 30, 90 ]

So total possible solutions which staisfies the condition and equation both will be 6

(1) A = 90 , B = 30 , G = 60
(2) A = 80 , B = 30 , G = 70
(3) A = 90 , B = 40 , G = 40
(4) A = 80 , B = 40 , G = 50
(5) A = 70 , B = 40 , G = 60
(6) A = 60 , B = 50 , G = 50

Like? Yes (3) | No (3)  

SUBHASH TULSYAN   10 years AGO

for b=30
a g
90 60......1
80 70.......2

for b=40
a g
90 40......3
80 50.......4
70 60.......5

for b=50
a g
60 50......6

hence total no. of cases is 6

Like? Yes (2) | No (2)  

Arijit Das   10 years AGO

apple grape banana
90 60 30
90 40 40
80 70 30
80 50 40
70 60 40
60 50 50

Like? Yes (2) | No (2)  

Abhishek mani   10 years AGO

possible casesof{banana(2kg),grape,apple}={30,60,90},{30,70,80},{40,40,90},{40,50,80},{40,60,70},{50,50,60}
=6

Like? Yes (1) | No (1)  

parakh maheshwari   10 years AGO

3! cases are there

Like? Yes (1) | No (2)  

prem kumar chaudhary   10 years AGO

80

Like? Yes (1) | No (5)