1.

A shopkeeper has 1000 kg of salt part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. What is the total Selling Price of the salt on which he gained 18% if the Selling Price of each kg is Rs. 2?1). 12002). 4003). 6004). 500

Answer»

We know that,

$(\frac{{{\rm{Cost\;price\;of\;unit\;quantity\;of\;cheaper\;substance}}\left( {\rm{c}} \right)}}{{{\rm{Cost\;price\;of\;unit\;quantity\;of\;dearer\;substance}}\left( {\rm{d}} \right)}} = \frac{{{\rm{Mean\;price}} - {\rm{c\;}}}}{{{\rm{d}} - {\rm{Mean\;price}}}})$

For 8% profit salt,

18 - 14 = 4

For 18% profit salt,

14 - 8 = 6

Quantity of 8% profit salt ? Quantity of 18% profit salt = 4 ? 6 = 2 ? 3

Given that the TOTAL quantity is 1000 kg.

So the quantity sold at 18% profit = $(1000 \times \frac{3}{5} = 600\;{\rm{kg}})$

The total selling price of this part of salt = 2 × 600 = Rs. 1200

∴ The total selling price of the 18% profit salt is Rs. 1200


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