If a man sells the chair at 7% loss and table at 17% profit then he earns 296 as total profit but he sells the chair at 7% and table at 12% profit then he earns 400 as total profit. find the cost of table yes m free
Answers
Explanation:
Lets the cost price of one article is Rs X
Profit 15%
So S.P of this article =X+
100
X×15
=
20
23X
= 69000 Rs
so cost price of one article is 60000 Rs
Then net profit on this article =69000-60000=9000 Rs
And gain of both article is 3750 Rs
This means loss on other article is 9000-3750= 5250
Let the cost price of the other article is Rs Y
Add loss% =20%
so los on ather article =
100
Y×20
=5250
Y=5250×5=26250
Answer:
Let the CP of chair be Rs. x and CP of table
be Rs. y.
Given: Case-1:
Loss % on chair = 7%
Profit% on table = 17 %
Total profit = Rs. 296
We know that,
• SP = (100 - loss% / 100) * CP.
88
So,
SP (chair) = (100 - 7/100) * x
- SP (chair) = 93x/100
• SP = (100 + profit% / 100) * CP
- SP (table) = (100 + 17 / 100) y
- SP (table) = 117y/100
We know,
Profit = SP - CP
So, 296 = SP of chair + SP of table - CP of
chair - CP of table,
- 296 = (93x/100) + (117y/100) - x - y
– 296 = (93x + 117y - 100x - 100y)/100
29600 = 17y - 7x -- equation (1)
Case - 2:-
Profit % on chair = 7 %
-
SP (chair) (100 + 7/ 100) * x
- SP (chair) = 107x/100
Profit% on table = 12 %
- SP (table) = (100 + 12 / 100) * y
- SP (table) = 112y/100
Now,
Total Profit = 400
So,
- 400 = (107x/100) + (112y/100) - x - y
- 400 = ( 107x + 112y - 100x - 100y)/100
+ 40000 = 7x + 12y -- equation (2)
Add equations (1) & (2).
- 17y - 7x + 7x + 12y = 29600 + 40000
- 29y = 69600
--- y = 69600/29
- y = Rs. 2400
.. CP of table is Rs. 2400
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