Arunika bought some articles and sold half of them at ? 22,103 thereby making a profit of 15%. At what price should she sell the rest of them so as to earn an overall profit of 25%? A. RS. 25,947 B. RS. 24682 C. RS. 27130 D. RS. 23,528
dainvincible1:
my answers coming this
if u look at dis site...ans is A...www.bankexamsadda.com/bank-exams-previous-papers/ibps-clerks/14.../1/0/
but its wrong
eminemstan is right
Is the options are wrong?@santanuraja2909
But I found these 4 options only
well...i think eminemstan is right
nevr go by the options bro
btw im sry fr tht late reply
But in competitive xams wen u hav 2 choose from 4 options then,?????@santanuraja2909
Answers
Answered by
23
let the C.P of the articles= 2x
S.P pf half articles =22103
profit=15%
therefore using the formula
c.p=100/(100+ p%) * s.p
x=(100/115) * 22103
x=19220
therefore total c.p =2x
cp=38440
total profit =25%
total s.p= (100+p%)/100 * c.p
= (125/100)*38440
=48050
therfore s.p of other half of the articles
=48050-22103
=25947
so A) Rs 25947 is the answer
S.P pf half articles =22103
profit=15%
therefore using the formula
c.p=100/(100+ p%) * s.p
x=(100/115) * 22103
x=19220
therefore total c.p =2x
cp=38440
total profit =25%
total s.p= (100+p%)/100 * c.p
= (125/100)*38440
=48050
therfore s.p of other half of the articles
=48050-22103
=25947
so A) Rs 25947 is the answer
Answered by
8
Solution :-
Let the cost price of all the articles be Rs. 'x'
So, Cost price of half of the articles will be Rs. x/2
We know that S.P. = C.P. + Profit
Now, according to the question.
As it is given in the question that half of the articles were sold at 15 % profit.
So,
⇒ 22103 = x/2 + [(x/2)*15]/100
⇒ 22103 = x/2 + 15x/200
⇒ 22103 = x/2 + 3x/40
⇒ (20x + 3x)/40 = 22103
⇒ 23x/40 = 22103
⇒ 23x = 22103*40
⇒ x = 884120/23
⇒ x = 38440
So, Cost Price of all the articles is Rs. 38440.
Cost price of half of the articles = 38440/2 = Rs. 19220
Overall profit required to be earned = 25 %
So,
Total profit @ 25 % = (38440*25)/100
Total profit to be earned @ 25 % = Rs. 9610
Profit already earned @ 15 % = S.P. of half of the articles - C. P. of half of the articles
⇒ 22103 - 19220
= Rs. 2883
Now, remaining profit to be earned = Rs. 9610 - 2883
= Rs. 6727
So, Profit of Rs. 6727 is yet to be earned.
Selling Price of the remaining half of the articles = C.P. of remaining half of the articles + Remaining profit to be earned
⇒ 19220 + 6727
= Rs. 25947
S.P. of remaining half of the articles should be Rs. 25947, so that Arunika will be able to earn overall profit of 25 %.
So, the Option (A) is correct.
Let the cost price of all the articles be Rs. 'x'
So, Cost price of half of the articles will be Rs. x/2
We know that S.P. = C.P. + Profit
Now, according to the question.
As it is given in the question that half of the articles were sold at 15 % profit.
So,
⇒ 22103 = x/2 + [(x/2)*15]/100
⇒ 22103 = x/2 + 15x/200
⇒ 22103 = x/2 + 3x/40
⇒ (20x + 3x)/40 = 22103
⇒ 23x/40 = 22103
⇒ 23x = 22103*40
⇒ x = 884120/23
⇒ x = 38440
So, Cost Price of all the articles is Rs. 38440.
Cost price of half of the articles = 38440/2 = Rs. 19220
Overall profit required to be earned = 25 %
So,
Total profit @ 25 % = (38440*25)/100
Total profit to be earned @ 25 % = Rs. 9610
Profit already earned @ 15 % = S.P. of half of the articles - C. P. of half of the articles
⇒ 22103 - 19220
= Rs. 2883
Now, remaining profit to be earned = Rs. 9610 - 2883
= Rs. 6727
So, Profit of Rs. 6727 is yet to be earned.
Selling Price of the remaining half of the articles = C.P. of remaining half of the articles + Remaining profit to be earned
⇒ 19220 + 6727
= Rs. 25947
S.P. of remaining half of the articles should be Rs. 25947, so that Arunika will be able to earn overall profit of 25 %.
So, the Option (A) is correct.
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