How many Kg of tea, worth Rs 25 per Kg, must be blended with 30 Kg of tea worth Rs 30 per Kg, so that by selling the blended variety at Rs 30 per Kg there should be a gain of 10%?

36 Kg

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40 Kg

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32 Kg

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42 Kg

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None of the above

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Solution

The correct option is A 36 Kg
S.P. =Rs 30 per Kg
Gain =10%
C.P. =Rs $\frac{30 \times 100}{110}$ =Rs $\frac{300}{11}$
The required ratio of the two varieties of tea
$= \frac{30}{11} : \frac{25}{11} = R s \frac{300}{11}$
$\frac{Q u a n t i t y o f c h e a p e r t e a}{Q u a n t i t y o f s u p e r i o r} = \frac{6}{5}$
\
Quantity of cheaper tea = $\frac{6}{5} \times 30 = 36$ Kg.

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How many Kg of tea, worth Rs 25 per Kg, must be blended with 30 Kg of tea worth Rs 30 per Kg, so that by selling the blended variety at Rs 30 per Kg there should be a gain of 10%?

The correct option is A 36 KgS.P. =Rs 30 per Kg Gain =10% C.P. =Rs 30×100110=Rs 30011 The required ratio of the two varieties of tea =3011:2511=Rs30011 Quantity of cheaper teaQuantity of superior=65 \ Quantity of cheaper tea =65×30=36 Kg.