Mariam bought two fans for Rs3065 . She sold one at a profit of 15% and the other at a loss of 9%?

Question

Mariam bought two fans for Rs3065 . She sold one at a profit of 15% and the other at a loss of 9% . If Mariam obtained the same amount for each fan, find the cost price of each fan.

Answer 1

Cost price of 2 fans together= Rs 3065
(i) let the cost price of the fan she sold at a profit of 15% be Rs.x
(ii)then price of the fan which she sold at a loss of 9% will be Rs.(3065-x).
then the 2 selling prices will be
(i) 1+(profit%/100)*cost price= 115x/100
(ii) 1-(loss%/100)*cost price=(91/100)*(3065-x)
since the selling prices for the two fans are the same, we get the equation-
=115x/100=(91/100)*(3065-x)
=115x=278915-91x
=115x+91x=278915
=206x=278915
=x=278915/206=1353.96
3065-x=1711.05

so the selling price of the fan she sold at 15% profit= Rs1353.96(approximately)
and the selling price of the fan she sold at 9%loss=
Rs.1711.04(approximately)

is it mentioned there, from u r reffering the total selling price 2? if its there then tell me.

Answer 2

Let the cost of one fan be a ad that of other fan be b
Therefore a + b = 3065 --------------(1)
SP of first fan @ 15 % profit = 1.15 a
& SP of second fan @ 9 % loss = 0.91 b
From second statement both are equal therefore,
1.15 a = 0.91 b
or b = 1.15 a / 0.91
b = 1.26 a putting this value in eq. (1)
a + 1.26 a = 3065
2.26 a = 3065
a = 3065/2.26 = 1356.20
b = 3065 – 1356.20 = 1708 .8

Answer 3

Let CP of one fan be Rs. x and other be Rs. y
x + y =3065 A

x+(15/100)x=y-(9/100)y
115x/100=91y/100
115x=91y B

Solving A and B we get

y =Rs.1711.04
x= Rs.1353.96

Answer 4

f1 + f2 = 3065
115 f1 / 100 = 91 f2 / 100
Then, 115 f1 = 91 f2
therefore f1 = 91/115 f2
then, 91/115 f2 + f2 = 3065
206 f2 = 3065 X 115 = 1711
Then, f1 = 3065 - 1711 = 1354

f1 = 1354, f2 = 1711

Answer 5

Let the cost orices of fans be x and y
x+y=3065--------------------(1)
x+15%=y-9% because it is the same amount
100x+15=100y-9
100x-100y=--9-15
100(x-y)=-24
x-y=-24/100-------------------(2)
Add(1) and (2)
2x=3065+24/100
2x=(306500+24 )/100
x=306524/200=1532.62 and y=1532.62 or 1532.5 approx


Add(1) and (2)


Now

Answer 6

i'll purchase It, i'm hoping absolutely everyone helps His factors And His teenagers. I basically Hate the reality that Sony Made This massive Deal, just to Get money Off Of MJ. He did no longer Even Like Sony. He close to Hated Them. it incredibly is in spite of however i'm nevertheless Gonna purchase It. @absolutely everyone think of of It this way. Your helping MJ's toddler's for their destiny And If we don't via The CD, we don't want Our Moonwalker To Flop. additionally, bear in strategies Sony is going To Be freeing 10 Albums Of Unreleased Songs via MJ till 2017. i understand That Sucks That They Gonna Be making a Ton of money. i'll help MJ's factors and you will desire to Too.

Answer 7

let cp = 3065
let cp1 be of fan 1 ,cp2 of fan 2
and sp1 , sp2 repectively

sp1 = cp1 + cp1xprofit
sp2= cp2 - cp2xloss

cp = cp1+cp2

cp = sp1/(1+profit) + sp2/(1-loss)-----------(1)

but sp1=sp2=sp

thus ,

3065= sp/(1+0.15) + sp/(1-0.09)

or

sp=3065/(1/1.15 + 1/0.91)

solving we get,

sp=1557.04

sp=sp2=0.91xcp2

thus cp2=1711.04

and cp1=1353.96


hence the answers


thus,

sp2=cp2(1-loss)

cp2= 6033.33/0.91

thus

Answer 8

cost price(c.p) of first fan=Rs.3065/2=1532.5
percentage of profit(g)=15%
that implies,
s.p(selling price)=(100+g/100)*c.p(cosst price)
s.p=(100+15/100)*1532.5
s.p=1.15*1532.5
s.p=Rs.1762.375
therefore selling price of first fan is Rs.1762.375
c.p of second fan=Rs.3065/2=1532.5
% of loss(L)=9%
s.p=(100-L/100)*c.p
s.p=(100-9/100)*1532.5
s.p=0.91*1532.5
s.p=Rs.1394.575
therefore s.p of second fan is Rs.1394.575
total c.p=3065
total s.p=1762.375+1394.575
=3156.95
since s.p>c.p
he gained profit
profit=Rs.91.95

Answer 9

she bought one fan at RS 1353.96 and other at RS 1711.04

Answer 10

Do you have one more piece of information?
Does the problem tell you how much she spent in total?