JIPMAT Pie Chart — PYPs

Each amount is $\frac{\text{sector angle}}{360}\times45800$, so both share the same $\frac{45800}{360}$ factor - and in a ratio that factor cancels. You never need the rupee amounts at all; the sector angles alone give the answer.

Medical expenses $=39.6^\circ$ and groceries $=82.8^\circ$, so the ratio is

$$\frac{39.6}{82.8}=\frac{396}{828}=\frac{11}{23}$$

(dividing numerator and denominator by $36$). So the ratio is 11 : 23 - Option 4.

*Sense check:* $82.8$ is more than double $39.6$, so the ratio must be smaller than $1:2$ - which rules out $1:2$, $3:5$ and $13:21$ immediately.

Add the two sector angles first, then convert once - that is one multiplication instead of two.

Entertainment $=36^\circ$ and Loan EMI $=68.4^\circ$, together $104.4^\circ$.

$$\frac{36+68.4}{360}\times45800=\frac{104.4}{360}\times45800=0.29\times45800=13282$$

So the family spent Rs.13,282 - Option 2.

*Sense check:* $104.4^\circ$ is a little under a third of the circle, and a third of $Rs.45,800$ is about $Rs.15,267$ - so an answer just below that is right, which rules out $Rs.9,618$.