Question

Q68. An alloy contains copper and zinc in the ratio 5:3 and another alloy contains copper and tin in the ratio 8:5. If equal weights of both alloys are melted together, then the weight of tin in the resulting alloy per kg will be

• A. (a) $\frac{29}{5}$
• B. (b) $\frac{5}{26}$
• C. (c) $\frac{3}{17}$
• D. (d) $\frac{5}{29}$

Answer 1

The correct option is B

(b) $\frac{5}{26}$

$\frac{5}{13}$ of the tin is in 1 kg of alloy. Since quantity of tin is constant (because the other alloy does not contain tin), therefore there is $\frac{5}{13}$ of the tin in 2

kg of alloy if 1 kg of both alloys is taken.

Hence, there is $\frac{5}{26}$