Question

Mark the correct alternative in the following question:

If ₹840 is divided between P and Q in the ratio 3 : 4, then P's share is

(a) ₹340 (b) ₹480 (c) ₹360 (d) ₹400

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{P}\text{'}\mathrm{s}\mathrm{share}\mathrm{be}₹x.\mathrm{Then}, \\ \mathrm{Q}\text{'}\mathrm{s}\mathrm{share}=₹\left(840-\mathrm{x}\right) \\ \mathrm{As},\mathrm{P}\text{'}\mathrm{s}\mathrm{share}:\mathrm{Q}\text{'}\mathrm{s}\mathrm{share}=3:4 \\ \Rightarrow \frac{\mathrm{P}\text{'}\mathrm{s}\mathrm{share}}{\mathrm{Q}\text{'}\mathrm{s}\mathrm{share}}=\frac{3}{4} \\ \Rightarrow \frac{x}{\left(840-x\right)}=\frac{3}{4} \\ \Rightarrow 4x=3\left(840-x\right) \\ \Rightarrow 4x=3\times 840-3x \\ \Rightarrow 4x+3x=3\times 840 \\ \Rightarrow 7x=3\times 840 \\ \Rightarrow x=\frac{3\times 840}{7} \\ \Rightarrow x=3\times 120 \\ \therefore x=360 \end{gathered}$$

So, P's share is ₹360.

Hence, the correct alternative is option (c).