Question

divya goes to buy fruits and after lot of bargaining is able to get the price of a dozen of apples reduced by rs. 1 from the initial price, thereby enabling her to get 1 apple extra for every rupee saved (getting no discount on extra apples ). what is initial price of a dozen of apple ?.
a.11
b.12
c.13
d.15

Answer 1

Hint: after the price is reduced by 1 rupee the cost will be 1 rupee per apple

Answer 2

i know the answer , i want to form and solve through equations to get answer

Answer 3

If the original price of 12 apples is x rupees then the cost of 12 after the discount is (x - 1) / 12

Answer 4

u mean \[x=\frac{ x-1 }{ 12 }\]

Answer 5

note that she gets \(1\) apple extra for the discounted price and the extra apple is not discounted

Answer 6

yes I appreciate that now...

Answer 7

I meant that the cost of 1 apple after the discount is (x-1)/12

Answer 8

though I must admit I'm confused by this problem...

Answer 9

orignal price is \(x\) for 12 apples

new price is \(x-1\) for 13 apples

Answer 10

12 is the answer from your original hint right ?

Answer 11

yes

Answer 12

yes 12 is right , but i m curious about the equations

Answer 13

1 rupee saved = 1 apple extra

thats the only equation i see here :)

Answer 14

so u mean this cant be solved through equation approach

Answer 15

the question itself has the answer

Answer 16

`enabling her to get 1 apple extra for every rupee saved `

Answer 17

lol

Answer 18

:P

Answer 19

yes -its so obvious - somehow the more I thought about the more i got confused lol

Answer 20

i found a site where it said answer is \(13 \)
http://testfunda.com/Answers/ViewQuestion.aspx?QID=9b5214f1-7577-490b-aa3d-a737f6537d2c

Answer 21

depends on how we interpret the problem
but the problem clearly says the extra apple needs to be purchased without discount

that means
1 extra apple = 1 rupee

this yields 12 rupee per dozen for the actual price before discount

Answer 22

that's the crux of the matter - how you interpret the problem

Answer 23

lol english is more important in word problems

Answer 24

true

Answer 25

lets call the original price of a dozen apples \(p\). Then we know if we reduce this price by 1 rupee then each apple costs 1 rupee. Therefore:\[\frac{p-1}{12}=1\]Solve this equation to get original price of a dozen apples.

Answer 26

ur logic is also correct

Answer 27

From your statement above:

\[x=\frac{x-1}{12}\]is incorrect

Answer 28

book says

"\(\text{from the options u can work that if the orignal price }\\
\text{ was 12 rs per dozen ,the cost per apple would be rs 1.}\\
\text{if she is able to get a dozen of apples at a reduced price }\\
\text{(reduction of rs 1 per dozen), she would be able to purchase}\\
\text{1 apple extra for every rupee she saved}\)"

Answer 29

OK - I guess the key here is "divya goes to buy fruits and after lot of bargaining is able to get the price of a dozen of apples reduced by rs. 1 from the initial price"

So she gets the price of a DOZEN apples reduced by rs 1 --> I INCORRECTLY then assumed the price of each apples would therefore be (p-1)/12

Answer 30

each apple STILL costs rs 1
It is just that she got a discount on buying a DOZEN

Answer 31

So @ganeshie8 has the correct logic to solve this question :)

Answer 32

ghost riders again lol

Answer 33

i found the equation
price= "p"
real cost= 12 apples * "price p" = 12p
discounted cost= 12 apples * (p-1) = 12(p-1)

so,
=> real cost - discounted cost = an extra apple at price "p"
=> 12p - 12(p-1) =

Answer 34

\(12p-12(p-1)=p\)