Latest IBM Aptitude Question SOLUTION: Q. A salesman marks an item 60% above the cost price & offers 2 successive discounts of 25% & 15% on the marked price. His profit is?

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Q. A salesman marks an item 60% above the cost price & offers 2 successive discounts of 25% & 15% on the marked price. His profit is?

Asked In IBM rekha singh (10 years ago)

Solved swastik Read Solution (12)

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Read Solution (12) :

swastik  (10 years ago)

let cost price is 100
mark price= 160
after 25% of discount the cost is 160*.75=120
after 15% of discount the cost is 120*0.85=102

so the profit is 2 rupees
or 2%

Is this solution Helpfull? Yes (96) | No (1)  

Anjani Kumar Choudhary  (10 years ago)

if cp=x =>marked price=1.6x
cost after 25% discount=1.6x*.75=1.2x
cost after another 15% dicount=1.2x*.85=1.02x

hence profit=2%

Is this solution Helpfull? Yes (10) | No (2)  

Monalisa Sarkar  (10 years ago)

Let C.P be C and Marked price be M
M=1.6*C
Hence,S(S.P)= 0.75*0.85*1.6*C
Profit %= (S-C)/C*100
%=(0.75*0.85*1.6*C-C)/C*100 = 2%

Is this solution Helpfull? Yes (6) | No   

sharmavs  (10 years ago)

let us consider price of an item is 100..if he marks cost as 60% above cost price then it will be 160.by giving 25% on 160 he gets 120.by successive discount he should give 15% on 120 so he will get 15% of 120 will be 18.therefore finally he gets 102.profit will be 2

Is this solution Helpfull? Yes (4) | No   

saketh ram  (10 years ago)

let he purcase for 100
now 60% marked price then 100+60=160 is marked price
first discount:25% ---->25% of 160=40 so 160-40=120 will be the first discount price
Second discount:15% --->15% of 120=18 so 120-18=102 will be the marked price
so he buy for 100 and sell for 102 he got 2 rupees profit so 2%.

Is this solution Helpfull? Yes (3) | No   

RAKESH  (10 years ago)

let CP be 100
marked price=100+60=160
SP=120(1-25/100)(1-15/100)
=76.5
profit=100-76.5=23.5

Is this solution Helpfull? Yes (2) | No (25)  

p vijay  (10 years ago)

Consider the initial cost has 100, now the price is increased by 60% so it becomes 160. Now first discount is 25% i.e, multiply 160 by 0.75 it results 120 and now the second discount is 15% i.e, multiply by 0.85 it results in 102. Now subtract 102 from 100 and you get the profit as 2%

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

Lucky Jain  (10 years ago)

let x be the cost price.
then marked price =x(1+(60/100))
=8x/5
s.p=8x/5(1-(25/100))(1-(15/100))
=51x/50
profit=s.p-c.p
51x/50-x
x/50(ans)
so the answer will depend on what value of x is given in ques, else answer will be x/50 only.

Is this solution Helpfull? Yes (1) | No (3)  

sonal jindal  (10 years ago)

when 2 succesive discount given
single discount D=m+n-(mn/100)=25+15-(25*15/100)=36.25
let cp=x
mp=160x/100=8x/5
sp=mp(1-(D/100)=1.02x
p=sp-cp=.02x
if x=100
p=2

Is this solution Helpfull? Yes (1) | No   

Sridevi Mullapudi  (9 years ago)

let cost price is 100
mark price= 160
after 25% of discount the cost is 160*.75=120
after 15% of discount the cost is 120*0.85=102

so the profit is 2 rupees
or 2%

Is this solution Helpfull? Yes (1) | No   

sai pavan  (10 years ago)

let Original price is x

Marked price(MP)is x+x*60/100 = 160x/100

25% disc on MP
Now cost is mp-mp*25%
i.e cost is 160x/100 -[(160x/100 * 25/100)=40x/100 ] = 120x/100

15% disc on mp
Now cost is 120x/100-mp*15%
i.e 120x/100 - 24x/100 = 96x/100

So he get loss 4%

Is this solution Helpfull? Yes | No (3)  

Janani J  (9 years ago)

20% above cost price

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