Question

A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, thereby earning a profit of 25%. The cost price for the manufacturer is :

• A. Rs. 15
• B. Rs. 16
• C. Rs. 17
• D. Rs. 18

Answer 1

The correct option is C Rs. 17

C.P for the manufacturer $=\frac{p\times 100\times 100\times 100}{(100+A)(100+B)(100+C)}$
Here $p=30.09,A=18,B=20andC=25$
$\Rightarrow \frac{30.09\times 100\times 100\times 100}{(100+18)(100+20)(100+25)}=\frac{30090000}{118\times 120\times 125}=17$