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Q: A lump of two metals weighing 18 grams is worth Rs 74 but if their weights be interchanged, it would be worth Rs 60.10. If the price of the god is Rs 7.20 per gram, find the weight of the other metal in the mixture.
A. Rs 0.15/gm B. Rs 1.25/gm
C. Rs 0.25/gm D. Rs 1.33/gm

Answer and Explanation

Answer:Rs 0.25/gm

Explanation:
Let the weight of the gold be x gm
Weight of other metal = (18 - x) gm
Let the price of the other metal be Rs y / gm
7.20x + y(18 – x) = 84
7.20(18 – x) + yx =60.10
Solving these tow equations simultaneously , x =10,y = 0.25
Quality of the other metal = 18 – 10=8 gm
Price of other metal = Rs 0.25/gm

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