A and B are two alloys in which ratios of gold and copper are 5 : 3 and 5 : 11 respectively. If these equally amount of two alloys are melted and made alloy C. What will be the ratio of gold and copper in alloy C?
A. 25 : 23
B. 33 : 25
C. 15 : 17
D. 17 : 15
Answer: Option C
Solution(By Examveda Team)
Ratio of Gold and Copper in Alloy A = 5 : 3 Ratio of Gold and Copper in Alloy B = 5 : 11 Amount of Gold in Alloy A = $$\frac{5}{8}$$ Amount of Gold In Alloy B = $$\frac{5}{{16}}$$ Amount of Copper in A = $$\frac{3}{8}$$ Amount of Copper in B = $$\frac{{11}}{{16}}$$ Amount of Gold In C, = (Amount of gold in A + Amount of gold in B) = $$\frac{5}{8}$$ + $$\frac{5}{{16}}$$ = $$\frac{{10 + 5}}{{16}}$$ = $$\frac{{15}}{{16}}$$ Amount of Copper in C, = Amount of Copper in A + Amount of Copper in B = $$\frac{3}{8}$$ + $$\frac{{11}}{{16}}$$ = $$\frac{{17}}{{16}}$$ So, Ratio of Gold and Copper in C, $$ = \frac{{15}}{{16}}:\frac{{17}}{{16}} = 15:17$$Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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