Question : A sold a watch at a gain 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:
Option 1: Rs. 83.33
Option 2: Rs. 84.33
Option 3: Rs. 83
Option 4: Rs. 82.81
Correct Answer: Rs. 83.33
Solution :
Let the cost price (CP) of the watch for A be $x$.
Selling price (SP) of A = CP of B = $\frac{105}{100}\times x$
SP of B = CP of C = $\frac{104}{100}\times\frac{105}{100}\times x$
Given: CP of C = Rs. 91
So, $\frac{104}{100}\times\frac{105}{100}\times x$ = $91$
⇒ $x$ = $\frac{91\times100\times100}{104\times105}$ = 83.33
Hence, the correct answer is Rs. 83.33.
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