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- Quantitative Aptitude
7.Profit and Loss
medium
Instead of dividing $391$ cookies among $3$ children $A$, $B,C$ in the ratio $\frac{1}{5}: \frac{1}{4}: \frac{1}{8},$ it was divided in to the ratio $5: 4: 8 .$ Who gains the most and how many?
A
$A, 21$ cookies
B
$B, 78$ cookies
C
$C, 99$ cookies
D
$C, 78$ cookies
Solution
Actual Ratio $\Rightarrow A: B: C \Rightarrow \frac{1}{5}: \frac{1}{4}: \frac{1}{8} \Rightarrow 8: 10: 5$
$A$ 's share $=\frac{8}{23} \times 391=136$
$B$ 's share $=170$
$C^{\prime} s$ share $=85$
It was divided in the Ratio $\Rightarrow A: B: C \Rightarrow 5: 4: 8$
$A$ 's share $=\frac{5}{17} \times 391=115$
$B$ 's share $=92$
$C s$ share $=184$
$C$ Gains more $=184-85=99$ cookies
Standard 13
Quantitative Aptitude