Instructions

Shyam prepares and sells piping hot puri and sabji (gravy) from 7:00 am to 9:00 am (both inclusive) through a stall at XLRI campus. Presently, he has just a single oven, which can do only one job at a time. It takes 30 minutes to cook one handi (a large bowl) of sabji, sufficient for 12 customers. It takes him 10 minutes to prepare 2 plates of puri at a time. While the cost of a plate of puri-sabji is ₹ 10, the price is ₹ 25. Puri stays hot for only 5 minutes after preparation, while sabji stays hot for 30 minutes only. It takes 10 minutes to reheat the sabji which stays hot for another 30 minutes. If he brings a handi of hot sabji from home, the transport would cost him ₹ 50. It can also stay hot for 30 minutes excluding the transportation time. Currently, every 20 minutes five plates are ordered. All unsold quantities are distributed at cost after 9:30 am.

Question 1

Find the maximum number of plates of puri-sabji Shyam can sell in the first hour of business?

Solution

The 1st handi of sabji is brought from home. This can be served for 12 customers. Two plates of puri's are made in 10 mins.

Now in 30 min, the number of puri-sabji that can be served = 6

After 30 min, the sabji needs to be heated which taken 10 mins.

Hence, in the remaining 20 min 4 plates of puri-sabji can be served.

Hence, in total in the first hour 10 plates of puri-sabji can be served.

Hence, option C is the correct answer.

Question 2

Shyam’s puri-sabji became famous. Now he gets 5 orders per 10 minutes and has invested in an additional oven. As he is working alone on both the ovens simultaneously, now in any one oven it takes him 45 minutes to cook one handi of sabji,15 minutes for 2 plates of puri and 15 minites to reheat the sabji. He can bring only one handi from home. What will be his maximum daily profit?

Solution

Since he already has one handi of sabji, he will invest the first 30 minutes of starting time in making puris in the oven.

As 1 oven cooks 2 plates of puris in 15 minutes, in the first 30 minutes, he will be able to prepare 8 plates of puris.

Total plates of Puri = 11*2

Now, profit = 15 × 22 = 330 - 50 (Transport cost) = 280

Thus, the correct answer is B.

Question 3

Shyam’s stall was becoming popular by the day. Now he gets 5 customers every 10 minutes. After buying a second oven, he employed a helping hand, Aman at ₹ 100 for two hours. Aman can cook one handi of sabji in 20 minutes or can prepare 3 plates of puri in 10 minutes. Reheat time for sabji is 10 minutes. None of them can work on both the ovens simultaneously.
Which of the following options will help Shyam maximize his daily profit, if he does NOT bring sabji from home?

Solution

Since the efficiency of Aman in making both Sabji and Puri is better than that of Shyam, Shyam should use his proficiencies in both parts.

For the first 20 minutes, Aman will make sabji and Shyam will make puri in the next 10 min. Then they can make puris in the ovens simultaneously and hence, can work on both the parts.

Thus, the correct answer is D.