Anu earns a profit or 18% by selling an article at a certain price. If she were to sell it for 10.50 more, she would have gained 25%. The original cost price of 12 such articles is
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Let the Original CP of one article be Rs. x.
Given:
Profit on selling at a certain price = 18%.
We know that,
SP = CPx (100 + Profit %)/100
So,
→ SP of one article = x * (100 + 18)/100
→ SP of one article = Rs. 118x/100
Also given that,
If it is sold for Rs. 10.50 more, she would have gained 25%.
Now,
The SP of the Article = Rs. (118x/100 +
10.50)
And, Profit = 25%.
So,
→ 118x/100 + 10.50 = CPx (100 + Profit%)/
100
(118x + 1050)/100 = x (100 + 25)/100
→ 118x + 1050 = 125x
1050 125x - 118x
→ 1050 = 7x
1050/7 =
x
→ Rs. 150 = x
• Cost Price of 12 such articles = 12 x x = 12 x 150 = Rs. 1800
Answer:
Given :-
Anu earns a profit or 18% by selling an article at a certain price. If she were to sell it for 10.50 more, she would have gained 25%
To Find :-
Original cost price of 12 such articles is
Solution :-
Let the original cost price be a
We know that
SP = 100 + P%/100 × CP
SP = 100 + 18/100 × a
SP = 118/100a
Now
SP = 100 + P%/100 × CP
SP = 100 + 25/100 × a
SP = 125a/100
Now
125a/100 = 118a/100 + 10.5
125a/100 - 118a/100 = 10.5
125a - 118a/100 = 10.5
125a - 118a = 10.5 × 100
7a = 1050
a = 1050/7
a = 150
Cost price of 12 article = 12(150) = 1800