By selling 18 table fans for Rs 11,664 a man incurs a loss of 10%. How many fans should he sell for Rs 17,424 to earn 10% profit?
This questions was previously asked in
SSC CGL 7th March 2020 Shift-2
Explanation:
- The cost price of 18 fans results in a 10% loss when sold for Rs 11,664.
- Let's calculate the cost price (CP) of 18 fans using:
\[
\text{Selling Price (SP)} = \text{CP} - \text{Loss}
\]
\[
\text{SP} = \text{CP} \times \left(1 - \frac{10}{100}\right) = \text{CP} \times 0.9
\]
For 18 fans:
\[
11,664 = \text{CP} \times 0.9 \Rightarrow \text{CP} = \frac{11,664}{0.9} = 12,960
\]
So, CP per fan = \( \frac{12,960}{18} = 720 \).
- To earn a 10% profit, Selling Price (SP) per fan is:
\[
\text{SP} = \text{CP} \times \left(1 + \frac{10}{100}\right) = 720 \times 1.1 = 792
\]
- Desired total Selling Price (SP) to earn 10% profit: Rs 17,424.
- Number of fans he should sell:
\[
\frac{17,424}{792} = 22
\]
- Option 2: 22 ?? Correct
-
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By: santosh