By selling a sweater for Rs. 750, a shopkeeper gains 25%. For how much should he sell it to gain 30%?
By selling a sweater for Rs. 750, a shopkeeper gains 25%. For how much should he sell it to gain 30%?
A720
B780
C600
D180
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Correct Answer: 780
Explanation:
To determine the selling price needed to gain 30%, we first find the cost price (CP) using the given 25% gain:
\( \text{Selling Price} = \text{CP} \times 1.25 \)
Given Selling Price = Rs. 750: \( 750 = \text{CP} \times 1.25 \)
Solving for CP: \( \text{CP} = \frac{750}{1.25} = 600 \)
Now, to achieve a 30% gain: \( \text{New Selling Price} = 600 \times 1.30 = 780 \)
Final Answer: \(\boxed{780}\)
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