Question 102

A sold a watch at a gains of 5% to B and B sold it to C at a gain of 4%. If C paid Rs. 91 for it, the price paid by A is:

Solution

Let cost price for A = Rs. $$100x$$

Profit % = 5%

=> Selling price for A = $$100x+(\frac{5}{100}\times100x)=Rs.$$ $$105x$$

Thus, cost price for B = Rs. $$105x$$

Profit % = 4%

=> Selling price for B = $$105x+(\frac{4}{100}\times105x)=Rs.$$ $$109.2x$$

According to ques, => $$109.2x=91$$

=> $$x=\frac{91}{109.2}=0.8333$$

$$\therefore$$ Price paid by A = $$100\times0.8333=Rs.$$ $$83.33$$

=> Ans - (A)

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