Leela sold her gold necklace at a profit of 7% if she had sold it for rupees 294 more, she would have got 10% profit find the cost price .

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Solution

Let the cost price of the necklace be 'x' Rs.
The selling price at 7 % = x + (x×(7/100))
= x + 7x/100
= 107x/100

And,
Selling price at 10 % profit = x + (x×(10/100))
= x + 10x/100
= 110x/100

Now, according to the question.

110x/100 - 107x/100 = 294

3x/100 = 294
3x = 294×100
x = 29400/3
x = 9800
So, the cost price of the necklace is Rs. 9800.

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