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Standard IX

Mathematics

Ratio and Proportion

Question 70 A...

Question

A tea merchant blends two varieties of tea costing her Rs. 234 and Rs. 130 per kg in the ratio of their costs. If the weight of the mixture is 84kg, then find the weight of each variety of tea.

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Solution

Given, cost of two varieties of tea = Rs. 234 and Rs. 130
Ratio of their costs = $\frac{234}{130}$
$= \frac{9}{5} = 9 : 5$ [on dividing numerator and denominator by 26]
Total weight of mixture = 84 kg

Total weight (which is 84kg) is to be distributed in ratio of 9 : 5.
Total parts of the ratio = 9 + 5 = 14
Weight of first variety tea = $\frac{9}{14} \times 84$
= 54 kg
Weight of second variety tea = $\frac{5}{14} \times 84$
= 30 kg

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