1.

It is given that 1st type of sugar costing Rs. 6.60 per kg was mixed with 56 kg of 2nd type of sugar costing Rs. 9.60 per kg, to get a mixture worth Rs. 8.20 per kg. What is the difference in quantities of the 1st type of sugar and 2nd type of sugar present in the mixture?1). 52). 93). 34). 7

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 CP of 1st variety sugar,

9.6 - 8.2 = 1.4

For CP of 2nd variety sugar,

8.2 - 6.6 = 1.6

Quantity of 1st type of sugar ? Quantity of 2nd type of sugar = 1.4 ? 1.6 = 7 ? 8

Quantity of 1st type of sugar ? 56 = 7 ? 8

Quantity of 1st type of sugar = 49

The difference between the both quantities = 56 - 49 = 7

∴ the required difference between 1st type of sugar and 2nd type of sugar is 7


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