26. Pavan sold an item at a loss of
12.5% If he could have sold it for
56 more, he would have made a
profit of 22.5% what should be the
selling price of the item of the item
to make a profit of 25%
(a) 200
(b) 182
(C) 190
(d) 185
Answers
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8th
Maths
Comparing Quantities
Prices Related to Buying and Selling
An article was sold at 25
MATHS
An article was sold at 25% loss. Had the article been sold for Rs.60 more there would have been a profit 5%. Find the cost price of the article.
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ANSWER
(i) Suppose the cost price of the article is Rs.100 at loss of 25% the S.P of the article is Rs.(100−25)=Rs.75.
At profit of 5% the S.P of the article is Rs.(100+5)=Rs.105
∴ The difference of the two S.Ps is Rs.105−75=Rs.30
If the C.P is Rs.100,
The difference in the two S.Ps is Rs.60 then the C.P is
30
100
×60=Rs.200
(ii) Suppose the cost price of article is x
At 25% loss,
S.P =x−
100
25x
=
100
75x
=Rs.
4
3
x
At 5% profit,
S.P=x+
100
5x
=
100
105
x=Rs.
20
21
x
Accordingly,
20
21
x−
4
3
x=60
⇒
20
21x−15x
=60
⇒
20
6x
=60
⇒x=
6
60×20
=200
∴ The cost price of article is Rs.200.