A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?  Choose the correct choice
A) 12 days B) 16 days C) 14 days D) 15 days E) None of these
Explanation :   Given that fort had provision for 500 persons for 27 days   Hence, after 3 days, the remaining food is sufficient for 500 persons for 24 days   Remaining persons after 3 days = 500 + 300= 
<gadget id="calculator">500 + 300</gadget>
<output>800</output>
800   Assume that after 10 days,the remaining food is sufficient for 800 persons for x days   More men, Less days (Indirect Proportion)   ⇒Men500:800}::x:24   ⇒500 × 24= 800x   ⇒ 5 × 24 = 8x   ⇒ x = 5 × 3 = 15. Answer : Option 15 days
<result>D</result>
A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?