Gold in 20 times as heavy as water and copper is 10 times as heavy as water. In what ratio these two metals be mixed so that the alloy is 13 times as heavy as water is Options : A] 2:7 B] 3:7 C] 1:2 D] 2:3
Question
Gold in 20 times as heavy as water and copper is 10 times as heavy as water. In what ratio these two metals be mixed so that the alloy is 13 times as heavy as water is
Options : A] 2:7 B] 3:7 C] 1:2 D] 2:3
Solution
This problem can be solved using the method of Allegation, which is a rule of mixture to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price.
The mean price is 13 (the weight of the alloy), the cheaper price is 10 (the weight of copper), and the costlier price is 20 (the weight of gold).
The formula for Allegation is:
(Costlier price - Mean price) : (Mean price - Cheaper price)
Substituting the given values into the formula, we get:
(20 - 13) : (13 - 10) = 7 : 3
So, the ratio in which gold and copper should be mixed is 7:3.
Therefore, the correct answer is option B] 3:7.
Similar Questions
Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?Options :1 : 23 : 22 : 34 : 5
A piece of gold weighing 36 gm in air, weighs 34gm in water. If there is some copper impurity in gold find the amount of copper in it given specific gravity of gold is 19.3 and that of copper is 8.9
A and B are two alloys of gold and copper prepared by mixing metals in ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be?Options7 : 59 : 55 : 75 : 9
The ratio of two metals, iron and nickel, present in an alloy were shown to be 4 : 3 respectively. If the alloy has a weight of 50 g, work out the weights of the two metals.
A crown made of gold and copper weights 210 g in air and 198 g in water. The weight of gold in crown is:–[Given : Density of gold = 19.3 g/cm3 and Density of copper = 8.5 g/cm3]
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.