A shopkeeper mixes two variants of rices in ratio 3:1. The first variety Costs RS. 32 per kg,while other costs 36 per kg. If the mixed rice is sold at price of 28.05 per kg. find the profit/ loss incurred by shopkeeper.
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Given: Cost price of variety 1 = Rs 35 per kg
Cost price of variety 2 = Rs 28 per kg
The selling price of mixture = Rs 36 per kg
The profit obtained on selling the mixture = 20%
Concept used:
Sum of the Cost price of two varieties = Cost price of mixture
Calculation:
Let A amount of variety 1 be mixed with B amount of variety 2 rice.
Cost price of mixture = 36 × 100/120 = Rs 30 per kg
35 × A + 28 × B
= 30 × (A + B) ⇒ 5× A
= 2 × B ⇒ A/B = 2/5
Alternate method:
Cost price of mixture = 36 × 100/120 = Rs 30 per kg Applying the process of alliation.
Ratio of the mixture = 2:5
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