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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Ratio Proportion And Variation PYQ

MAH CET MCA PYQ
The incomes of $A$, $B$ and $C$ are in the ratio $7 : 9 : 12$ and their spending are in the ratio $8 : 9 : 15$. If $A$ saves $\dfrac{1}{4}$ of his income, then the savings of $A$, $B$ and $C$ are in the ratio of





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Let incomes be $7x, 9x, 12x$ and expenditures be $8y, 9y, 15y$. Saving of $A = 7x - 8y = \dfrac{1}{4}(7x) \Rightarrow 7x - 8y = \dfrac{7x}{4} \Rightarrow 8y = \dfrac{21x}{4} \Rightarrow y = \dfrac{21x}{32}$. Savings: $A = \dfrac{7x}{4}$, $B = 9x - 9y = 9x - 9\left(\dfrac{21x}{32}\right) = \dfrac{99x}{32}$, $C = 12x - 15y = 12x - 15\left(\dfrac{21x}{32}\right) = \dfrac{69x}{32}$. Hence ratio $= 56 : 99 : 69$.
MAH CET MCA PYQ
Birds on trees $A$ and $B$ say: if $2$ from $B$ move to $A$, numbers are equal; if $2$ from $A$ move to $B$, then $B$ becomes double of $A$. Find numbers on $A,B$.





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2025 (Shift 1) PYQ

Solution

Let $A=x,\ B=y$. $x+2=y-2\Rightarrow y=x+4$. $y+2=2(x-2)\Rightarrow y=2x-6$. Solving: $x=10,\ y=14$.

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