Question 51

The difference in selling prices of an article when sold at 15% profit and 17% loss is ₹96.If it is sold at 10% profit, then what is the selling price?

Solution

Profit %= $$\frac{SP - CP}{CP} $$ $$\times{100}$$

Here, For the profit of 15 % ,SP = 115 % of CP

Similarly, for loss of 17 % ,SP = 83 % of CP

Hence,Difference in both SP is given as 96 i.e. 115% CP - 83% CP = 96

= 32 % CP =96

CP =300.

For 10 % profit = 10 % of 300 = 30.

SP= 300 +30 = 330

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