Arihant Expert Team Solutions for Exercise 4: Quantitative Aptitude

$X$ and $Y$ entered into partnership with $₹700$ and $₹600$ respectively. After another $3$$\mathrm{months}$, $X$ withdrew two-sevenths of this stock but after $3$ $\mathrm{months}$, he puts back three-fifths of what he had withdrawn. The total profit at the end of the year is $₹726$. How much of this should $X$ receive?

The cost price of a pen is ₹ $50$ and that of a notebook is ₹ $140$. If pen is sold at $200\%$ profit, then to purchase $10$ such notebooks how many pens are required to sell if only profit money is used to buy notebooks?

Length of two trains are $150 m$ and $200 m$ respectively and the ratio (shorter : longer) of their speed is $2:5$. If they cross each other in opposite direction in $15$ second then in what time faster train will overtake the slower train.

If the length of a rectangle is decreased by $6\mathrm{cm}$, we get a square and the area of square formed is $252 {\mathrm{cm}}^2$ less than the area of the square formed when the breadth of the original rectangle is increased by $6 \mathrm{cm}$. Find the perimeter of the rectangle:

Breadth of a rectangle is equal to the diagonal of the square whose side is $2.52\sqrt{2} {\mathrm{cm}}^2$. Ratio between length and breadth of rectangle is $3:1$. Find the area of the rectangle $(in {\mathrm{cm}}^2)$

Equal distance is covered by a boat in upstream and in downstream in total $5$ hours. Sum of speed of a boat in upstream and downstream is $40 \mathrm{km}/\mathrm{h}$. Speed of boat in still water is $600\%$ more than the speed of stream. Find the approximate distance covered by boat in downstream $(\mathrm{in} \mathrm{km})$:

$A$ and $B$ entered into a partnership with ₹ $800$ and ₹ $1600$ respectively. From $9th$ month onward they each decided to invest ₹ $100$ more on starting of each month. If total annual profit is ₹ $7700$ then find the profit share of $A$.

$A$ starts a business, after $6$ months $B$ also join him with ₹ $4500$ and after $2$ months of $B\text{'}s$ joining, $C$ also join them with ₹ $4500$. If $A$ gets approx. ₹$4900$ out of total annual profit of ₹ $10,000$, then find the approximate value of initial investment of $A$.