Xavier Aptitude Test 2012 Paper

(d) For first $\text{Rs. }200,000$ Shyam gets $\left[ \frac{6000}{4000+6000} \right) \times 100$ $=60\%$ of the profit For next $\text{Rs }200,000,$ he gets $20\%+60\%$ of the remainingprofit. $=20\%+80 \times 0.6\%=68\%$ Similarly, for a profit margin greater than $\text{Rs. }400000.$ He will get $35\% + 65 \times 0.6\% = 74\%$ of the profits beyond $\text{Rs. }400,000$Now for a profit of first $\text{Rs. }400,000,$ Shyam will receive$200000 \times \frac{68+60}{100}=256000$But Shyam earns a total profit of $\text{Rs. }367000$ Let total profitearned by them be $\text{Rs. }400000+x$Hence Shyam received $367000 - 256000 = \text{Rs. }111000$From $\text{Rs. }x$ profiti.e. $\text{Rs. }111000$ is 74$\%$ of $x$$\therefore x = \frac{111000}{0.74} = 150,000$Hence total profit earned by them$=400000+150000=3550,000$Hence option (d)