Questions & Answers

Question

Answers

A.1:2

B.2:3

C.3:2

D.2:5

Answer

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Selling price of the mixture- Rs.324 per kg

Gain of the mixture-20%

Here we have to use the formula of calculating the cost price(c.p)

= $c.p = \left[ {\dfrac{{100}}{{100 + gain\% }}.s.p} \right]$ [s.p(selling price)]

=$\left[ {\dfrac{{100}}{{100 + 20}}.324} \right]$

= $\left[ {\dfrac{{100}}{{120}}.324} \right]$

By solving the above equation, we get

=Rs.270 per kg

So for Darjeeling tea

= Rs(320-270)per kg

=Rs.50 per kg

And for Assam tea

=Rs(270-250)per kg

=Rs.20per kg

Here the ratio of quantities of both Darjeeling tea and Assam tea for gaining the profit of 20% at the rate of 324 per kg of mixture is

= cost of Assam tea/cost of Darjeeling tea

=$\dfrac{{20}}{{50}}$

canceling the denominator by numerator we get

=$\dfrac{2}{5}$

And the ratio of quantities of both Darjeeling tea and Assam tea for gaining the profit of 20% at the rate of 324 per kg of mixture is 2:5.