Question

A casting weighs 80 kg. During preliminary machining the weight is reduced by 4%. In the remaining weight 5% is machined off for final finish. What is the weight of the final product?​

Answer 1

$\fbox{\texttt{\green{Answer:}}}$

Weight of final product = 72.96 kg.

$\fbox{\texttt{\pink{Given:}}}$

• Weight of casting = 80 kg.

• 4% of the total weight is reduced during preliminary machining.

• 5% of the remaining weight is reduced for final finishing.

$\fbox{\texttt{\blue{To\:find:}}}$

Weight of the final product(after final finishing).

$\fbox{\texttt{\red{How\:to\:Find:}}}$

Given that, weight of casting = 80 kg.

Weight reduced in preliminary machinig =

$\rm{80\times{}\dfrac{4}{100}=3.2\:kg}$

∴ Remaining weight = 80 - 3.2 = 76.8 kg.

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Material machined off for final finish

= 5% of remaining weight

= $\rm{\dfrac{5}{100}\times{}76.8}$

= $\rm{3.84\:kg.}$

∴ Total weight remaining = 76.8 - 3.84 = 72.96 kg.

∴ Weight of final product = 72.96 kg.