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the shopkeeper charged 12 rupees for a bunch of chocolate. but i bargained to shopkeeper and got two extra ones, and that made them cost one rupee for dozen less then first asking price .
how many chocolates i recieved in 12 rupees ??
a)10
b)16
c)14
d)18
Read Solution (Total 17)
-
- let no. of chocolates=x=x/12dozen
price of x/12 dozen is rs 12
so price of 1 dozen is 144/x
2nd condition
144/(x+2) +1=144/x
go through option x=16 - 10 years agoHelpfull: Yes(46) No(14)
- D.18 chocolets, then cost of each chocolate is 12/18=0.6666 then cost of dozen(12) chocolates is 0.6666*12=8
at first 18-2=16 chocolates then cost of each is 12/16=0.75 then cost of 12 chocolates is 12*0.75=9
9-8=1
so answer is 18 chocolates - 10 years agoHelpfull: Yes(21) No(22)
- 12/x - 12/(x+2)= 1/12
on solviing x=16..... - 10 years agoHelpfull: Yes(15) No(6)
- case 1:no. of chocolate =x
total cost=12
cost of one dozen chocolate(C1)=(12/x)*12=144/x
case 2:no. of chocolate=x+2
total cost=12
cost of one dozen chocolate(C2)=(12/(x+2))*12=144/(x+2)
it is given that C1-1=C2 (since cost per dozen is reducing by 1)
solving the two equations will give us x=16
BUT our answer should be x+2 because that's what she is getting in the end
so she recieved 18 chocolates - 8 years agoHelpfull: Yes(8) No(1)
- let no. of chocolates=x=x/12dozen
price of x/12 dozen is rs 12
so price of 1 dozen is 144/x
2nd condition
(144/x) - (144/(x+2)) = 1
solving this, we get x as 16. But i bargained and got extra two chocolates so x+2 as answer. so, 16+2 is 18. which leads option D)18 as the correct answer. - 9 years agoHelpfull: Yes(6) No(3)
- 16;
(144/x)=(144/x+2)+1;
x=16,-18
hence 16 chocolates - 10 years agoHelpfull: Yes(5) No(3)
- option D,cost of 18 choclates is rs 12,
cost of 1 choclate =12/18
cost of 12 choclates=(12/18)*12= 8
cost of 16 choclates=12
cost of 1 choclate=12/16
cost of 12 choclates=(12/16)*12=9
a/c question,9-8=1
- 10 years agoHelpfull: Yes(5) No(7)
- c)14
1 rupees per 1choclate and two extra means 14 - 10 years agoHelpfull: Yes(4) No(7)
- D.18 chocolets, then cost of each chocolate is 12/18=0.6666 then cost of dozen(12) chocolates is 0.6666*12=8
at first 18-2=16 chocolates then cost of each is 12/16=0.75 then cost of 12 chocolates is 12*0.75=9
9-8=1
so answer is 18 chocolates - 10 years agoHelpfull: Yes(3) No(2)
- No of chocolates-->x or x/12 dozen
so prize of x/12 =rs 12
so 1 doz=144/x
also,
(144/x+2)=(144/x)-1
whih gives x=16
- 10 years agoHelpfull: Yes(3) No(0)
- 144/n-144/n+2=1
the above equation satisfies only by replacing n by 16,
but the question was how many chocolates i received for 12 rupees so ans is 16+2=18 - 9 years agoHelpfull: Yes(3) No(0)
- buys a/12 chocolates for rs.12
bargained and buy extra 2 for ever for ones= 144/(a+2)
which reduces cost by 1 rs=144/(a+2)-1
144/a=144/(a+2)-1
a=16 - 9 years agoHelpfull: Yes(2) No(1)
- let us assume cost of 'x' chocolates is 12Rs/-
=> cost of each chocolate = 12/x
But I took ' x+2 ' chocolates for 12 Rs/-
=> I gave (12/x+2) Rs/- for each chocolate
Given that I bought dozen chocolates 1 Rupee less than the actual cost of dozen
12(12/x+2)=12(12/x)-1
on solving
x(x+2)=288
= 16*18
=> x=16
- 8 years agoHelpfull: Yes(2) No(0)
- b
if he initially gets 16 chocolate so cost of 1 dozen is 9
now he gets 18 chocolates so cost of 1 dozen is 8
- 10 years agoHelpfull: Yes(1) No(3)
- 14 chocolates i think am i crct.
let us assume bunch of chocolates=x
therefore x chocolates=12 Rs
bt bargainedhe get x+2 chocolates
so he gives 1 rs less per dozen than the previous prize i.e 12
so 12 chocolates=11RS
- 10 years agoHelpfull: Yes(1) No(2)
- let x chocolates/12 rs.
so 12 chocolates-144/x rs.next step
144/x-1 rs. 12 chocolates.(now)so, 12 rs. now 144x/(144-x) chocolates
144x/(144-x) - x =2..
after solved this above equation we get x=16
- 10 years agoHelpfull: Yes(1) No(1)
- Let the number of chocolates bought = n or n/12 dozens
Assume this would cost x rupees.
Now given that (n+2)/12 dozens cost x - 1 rupee.
So 12/n/12=x - - - (1)
and 12/(n+2)/12=x−1 - - - (2)
(1) - (2) = 144/n−144/(n+2)=1
From the options, 16 satisfies. - 9 years agoHelpfull: Yes(0) No(0)
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