Question

1. An article is sold for 500 and hence a loss
is incurred. Had the article been sold for
700, the shopkeeper would have gained
three times the former loss. What is the
cost price of the article?
​

Answer 1

Answer:

Let cost be x so loss at sale at 500 is x-500 and gain at sale at 700 is 700-x . Now 3(x-500)=700-x or 4x=700+1500=2200 or x =2200/4=550. So cost price is 550.

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Answer 2

Answer:

₹ 550

Explanation:

We know that Loss = CP - SP

= CP - 500 (SP = 500 given)

When, SP = 700 then, Gain = SP - CP

= 700 - CP (SP = 700 given)

According to question, Gain = 3×Loss

700-CP = 3[CP-500]

==> 700-CP = 3×CP - 1500

==> 700+1500 = 3×CP+CP

==> 2200 = 4(CP)

==> CP = 2200/4 = ₹ 550 Ans.

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