CAT (QA) PYQs

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is $70\%$. His share of profit decreases by Rs. $420$ if the overall profit goes down from $18\%$ to $15\%$. Chintu's share of profit increases by Rs. $80$ if the overall profit goes up from $15\%$ to $17\%$. The amount, in INR, invested by Bobby is

In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2 : 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If $3600$ males in the village are literate, then the total number of females in the village is

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is $3: 2$, while the ratio of the shares of Sunil and Mita is $4: 5$. If the difference between the largest and the smallest of these three shares is Rs $400$, then Sunil's share, in rupees, is