Arun Sharma Solutions for Exercise 2: IIFT(2008-17)

In $2011,$ Plasma-a pharmaceutical company-allocated $₹4.5\times {10}^7$  for Research and Development. In $2012,$ the company allocated $₹60,000,000$ for Research and Development. If each year the funds are evenly divided among $2\times {10}^2$ departments, how much more will each department receive this year than it did last year?

63. At a reputed Engineering College in India, total expenses of a trimester are partly fixed and partly varying linearly with the number of students. The average expense per student is $₹400$ when there are $20$ students and $₹300$ when there are $40$ students. When there are $80$ students, what is the average expense per student?

Mrs. Sonia buys $₹249.00$ worth of candies for the children of a school. For each girl she gets a strawberry flavoured candy priced at $₹3.30$ per candy; each boy receives a chocolate flavoured candy priced at $₹2.90$ per candy. How many candies of each type did she buy?

The duration of the journey from your home to the college in the local train varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the diesel used per $\mathrm{km}. ,$ and inversely as the number of carriages in the train. If, in a journey of $70 \mathrm{km}.$ in $45$ minutes with $15$ carriages, $10$ litres of diesel is required, then the diesel that will be consumed in a journey of $50 \mathrm{km}$ in half an hour with $18$ carriages is

Ravindra and Rekha got married $10$ years ago, their ages were in the ratio of $5: 4.$ Today Ravindra's age is one sixth more than Rekha's age. After marriage, they had $6$ children including a triplet and twins. The age of the triplets, twins and the sixth child is in the ratio of $3: 2: 1 .$ What is the largest possible value of the present total age of the family?

Eight years after completion of your $\mathrm{MBA}$ degree, you start a business of your own. You invest $\mathrm{INR} 30,00,000$ in the business that is expected to give you a return of $6\%,$ compounded annually. If the expected number of years by which your investment shall double is $72/\mathrm{r},$ where $\mathrm{r}$ is the percent interest rate, the approximate expected total value of investment (in $\mathrm{INR}$) from your business $48$ years later is:

The student fest in an Engineering College is to be held in one month's time and no sponsorship has yet been arranged by the students. Finally, the General Secretary (GS) of the student body took the initiative and decided to go alone for sponsorship collection. In fact, he is the only student doing the fund raising job on the first day. However, seeing his enthusiasm, other students also joined him as follows: on the second day, $2$ more students join him; on the third day, $3$ more students join the group of the previous day; and so on. In this manner, the sponsorship collection is completed in exactly $20$ days. If an $\mathrm{MBA}$ student is twice as efficient as an Engineering student, the number of days which $11 \mathrm{MBA}$ students would take to do the same activity, is:

A pharmaceutical company manufactures $6000$ strips of prescribed diabetic drugs for $78000$ every month. In July $2014 ,$ the company supplied $600$ strips of free medicines to the doctors at various hospitals. Of the remaining medicines, it was able to sell $4/5$ th of the strips at $25$ percent discount and the balance at the printed price of $? 25 .$ Assuming vendor's discount at the rate of a uniform $30$ percent of the total revenue, the approximate percentage profit/ loss of the pharmaceutical company in July $2014$ is: