An article was sold for rs. 2770. had it been sold for rs. 3000 there would have been an additional gain of 10%. cost price of the article is:
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An article was sold for Rs. 2770. Had it been sold for Rs.3000 there would have beenan additional gain of 10%. Cost price of the article is Rs.2300
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Solution :-
Let the cost price be Rs. x
Original Selling Price = Rs. 2770
Original Profit = (2770 - x) Rs.
Profit % = (2770 - x)*100/CP
Now, new Selling Price = Rs. 3000
Original CP = Rs. x
New profit = (3000 - x) Rs.
New profit % = (3000 - x)*100/CP
(3000 - x)*100/CP - (2770 - x)*100/CP = 10
(300000 - 100x)/CP - (277000 + 100x)/CP = 10
23000/CP = 10
10CP = 23000
CP = 23000/10
CP = 2300
So, the original Cost price is Rs. 2300
Answer.
Let the cost price be Rs. x
Original Selling Price = Rs. 2770
Original Profit = (2770 - x) Rs.
Profit % = (2770 - x)*100/CP
Now, new Selling Price = Rs. 3000
Original CP = Rs. x
New profit = (3000 - x) Rs.
New profit % = (3000 - x)*100/CP
(3000 - x)*100/CP - (2770 - x)*100/CP = 10
(300000 - 100x)/CP - (277000 + 100x)/CP = 10
23000/CP = 10
10CP = 23000
CP = 23000/10
CP = 2300
So, the original Cost price is Rs. 2300
Answer.
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