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The difference between cost price (CP) and selling price (SP) of an article is Rs 240. If the profit is 20%, then the selling price is

Solution

✅ Correct Option: 2

The difference between CP and SP is Rs 240, and there is a 20% profit.

Since there is a profit, the selling price is greater than the cost price:

SP−CP=240SP - CP = 240


A profit of 20% means:

Profit =20%= 20\% of CP

Profit =20100×CP= \dfrac{20}{100} \times CP

Profit =0.2×CP= 0.2 \times CP


Since Profit =SP−CP= SP - CP, we have:

0.2×CP=2400.2 \times CP = 240

CP=2400.2CP = \dfrac{240}{0.2}

CP=1200CP = 1200


Using SP−CP=240SP - CP = 240:

SP=CP+240SP = CP + 240

SP=1200+240SP = 1200 + 240

SP=1440SP = 1440

Therefore, the selling price is Rs 1440.

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