Latest Elitmus Aptitude Question SOLUTION: A trader uses a 110 cm scale while buying cloth and uses 90 cm scale while selling the cloth. He further provides 10% discount to cost price. What is his overall profit percentage

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(#M40034970) ELITMUS Numerical Ability question Profit and Loss Keep an EYE

A trader uses a 110 cm scale while buying cloth and uses 90 cm scale while selling the cloth. He further provides 10% discount to cost price. What is his overall profit percentage?

Asked In Elitmus (10 years ago)

Unsolved Read Solution (21)

Is this Puzzle helpful?   (13)   (1) Submit Your Solution Profit and Loss

Read Solution (21) :

kumar  (10 years ago)

let price of each cm is rs 1.
price of 100cm =rs100.(that is cost price)

but trsder get 110cm in rs 100
hence price of 90cm =rs(90*100)/(110)= (900/11) (actual price he pay for 90cm)
and he sold 90 cm in rs 100 and give 10 % dis =rs 90( amount he get for 90cm)
now we have cost price =900/11 and selling price =rs90
profit=10%

Is this solution Helpfull? Yes (37) | No (1)  

hanamant k  (10 years ago)

if cp=100 =>(asume)
then 10% discount on cp=90
he sells 90cm for 90 rs
then remain 20cm..?
(90/90)*20=20
90+20=110 (total selling price)
so profit=(110-100)
=10%

Is this solution Helpfull? Yes (7) | No (4)  

GAURAV GUPTA  (10 years ago)

assume 1 scale = 1rs
lets assume cp =100
seller give 10% dis, so 10% of 100 is 10 so he give him 90 rs;
so 90 cm scale is 90 rs;
and trader uses is 110 scale so he get earn 110 rs ;
so profit is 110-100 =10
10%

Is this solution Helpfull? Yes (5) | No   

amrita singh  (9 years ago)

(100+gain%)/(100-dicount%)=true_value/faulty_value
--> (100+g)/(100-10)=110/90
-->100+g=110
-->g=10
or, gain=10%

Is this solution Helpfull? Yes (5) | No   

Sakshi kochhar  (9 years ago)

let CP of 1cm= x and he purchases 90 cm cloth
=>total CP= 90x
10% discount on CP = 9x (10% of 90x)
SP of 90cm cloth = 90x-9x= 81x
SP of 110 cm cloth = (81*110)/90x =99x
profit % = [(SP-CP)*100]/CP
= [(99x-90x)*100]/90x
=10 ans

Is this solution Helpfull? Yes (3) | No   

rohitashwa  (10 years ago)

consider 110 cm cloth...selling at 10% discount .110-110*10/100=99.but actually he sold 90 mts only .and cost price of 110 mts ==110 so cost price of 90==90.thus profit ==99-90==9rupee.so in %======9*100/9o==10%ans

Is this solution Helpfull? Yes (2) | No   

adilida  (10 years ago)

cost per cm cloth = x
cost price of 110cm cloth = 110x
SP of 90cm cloth = 90x
10% discount = 11x

profit % = (110x - (90x + 11x)) / 110x * 100
= 8.1818%

Is this solution Helpfull? Yes (2) | No (3)  

shubham ghule  (9 years ago)

just remember dis formula for false scale
100+overall gain/100-discount=true scale/false scale
for this problem its simply
100+x/100-10=110/90
ans=10% gain

Is this solution Helpfull? Yes (2) | No   

Rahul Bhadana  (10 years ago)

the profit earn by using faulty scale is 110-90=20

so he get 20% profit but he further discount 10% on cost price

so use formula X+Y+(XY)/100 use + for profit and - for discount

20-10-2 is 8% profit

Is this solution Helpfull? Yes (1) | No   

hari  (9 years ago)

profit earn on faulty scale is (110-90)=20
percentage of profit earned is =(20/90)*100=200/9%
discount = 10%
formula for getting the overall percentage is x+y+xy/100 =200/9 -10-(200/9)(10)/100=10%

so profit=10%

Is this solution Helpfull? Yes (1) | No   

Navaz Mannan  (10 years ago)

11
because , he gets 20 cm xtra and 10% of 90 is 9cm . and 20 - 9 = 11 , so profit is 11%

Is this solution Helpfull? Yes | No (4)  

Raj Kumar Ray  (10 years ago)

why did u do 10% of 90... its said 10% discount on CP

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saurabh agarwal  (10 years ago)

35.8% ans

Is this solution Helpfull? Yes | No (2)  

Rounik Nayek  (10 years ago)

to buy 110cm we need rs100
to buy 90cm we need 900/11=81.81
sp of 90cm is rs90
profit is rs8.181
profit%= (profit/cp)*100=10%

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Mani kandan  (10 years ago)

hi pls explain clearly i am confused

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Adarsh Singh  (9 years ago)

let he buy the cloth for rs100.
i.e. buy 110cm for 100rs i.e. 1cm=10/11rs
sells 90cm for 100 rs i.e. 1cm=10/9 rs
nd 10% discount=10*(10/11)/100=10/110;
so,total profit=10/9-10/11-10/110=.11;
profit %=.11/(10/11)*100=12.1%l

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Goldi kumari  (9 years ago)

let c.p of 1cm=1rs then c.p of 100cm=100rs
c.p of 110cm=100rs
c.p 0f 90cm
c.p=100*s.p/(100+gain%)=100*90/110=81.81
profit=90-81.81=8.19
profit%=8.19*100/81.81=10.01

10%

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madhu gupta  (9 years ago)

let cp of per cm=x
total profit= 20x-9x
=11x
% profit=11

Is this solution Helpfull? Yes | No (1)  

sravani  (9 years ago)

let x be the cost of 110 cm cloth...
as cost is directly proportional to the length of the cloth...
90cm costs.....9x/11
but he sold it to x and gives 10% discount...so the s.p is9x/10
profit is 9x/10 - 9x/11 = 9x/100.
9% profit....

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Survesh Jha  (3 years ago)

Ans is ~10%.
So think of it as , the formula for the profit % in such cases(When price can be equated for 110 cm cloth and 90 cm cloth) is (Goods Left / Goods Sold)*100. so here(20/90)*100 = 22.22% profit.

Suppose the quantity to be 100 then profit of 22.22% will give 100 + (100 * .2222) = 122.22.
Now discount of 10% on this will be 122.22 - (122.22 * 10) = 109.998.
so from 100 to 109.998 there's a change of 9.998 % i.e ~10%.

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vikram kumar patari  (3 years ago)

let 100 cm is =100 rs
so a seller buy a 110 cm instead of 100 cm
it means that
110 cm=100 rs
when he sell the cloth he use 90 cm instead of 100 cm and it also provide 10% discount so it means
90 cm sell =90 rs
so overall the equation is that
110 cm=100rs*90=9000
90 cm=90rs*110=9900
ans=faulty/actual price
faulty =99-90
ans=(9/90)*100
ans =10%

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