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Lecture 03
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Introducing Ratio Problems

U
sir Maine Suna hai Jadavpur University me jee mains rank ke basis par admission nahi milta hai
U r not explaining properly....
Chetan Pandey
a year ago
Sir u r from iim b ... a new cat aspirant or someone like me who left studies 10 yrs back find difficult to find how is something derived ... make us understand atleast in first few base lectures like a beginner not of cat level
1. RATIO & PROPORTIONS Lecture 03 Venkatesan S IIMB Alumni

2. Which among the following is the largest number. 4. 12/121

3. Which among the following is the largest number. 4. 12/121

4. If a/b = 1/3, b/c = 2, c/d = , d/e = 3 and e/f = Y4, then what is the value of (abc/def)2? 1. 9/64 2. 729/16 4. 27/4

5. If a/b 1/3, b/c 2, c/d 2, d/e 3 and e/f 4, then what is the value of (abc/def)2? 1. 9/64 2. 729/16 a b c d e f 2 6 3 6 28 4. 27/4 Homogeneous Equation. - 1:3 abc 2*6*3 def 6*2*8 (abc/def) 3/8 9/64

6. In a toll gate, the ratio of Heavy Commercial Vehicles to Passenger Vehicles to Cars is 1:2:7 and the fares for each vehicle is in the ratio of 5:4:2. If the total income per day is Rs.54,000, find the income from Passenger Vehicles alone. 1. Rs. 10,000 2. Rs. 16,000 3. Rs. 15,000 4. Rs. 28,000

7. In a toll gate, the ratio of Heavy Commercial Vehicles to Passenger Vehicles to Cars is 1:2:7 and the fares for each vehicle is in the ratio of 5:4:2. If the total income per day is Rs.54,000, find the income from Passenger Vehicles alone. 1. Rs. 10,000 2. Rs. 16,000 3. Rs. 15,000 4. Rs. 28,000 Commercial Passenger Cars Fares 4 2 Total 5xy 8xy 14xy 27xy 54000 xy 2000 Passenger 16,000

8. In a toll gate, the ratio of Heavy Commercial Vehicles to Passenger Vehicles to Cars is 1:2:7 and the fares for each vehicle is in the ratio of 5:4:2. If the total income per day is Rs.54,000, find the income from Passenger Vehicles alone. 1. Rs. 10,000 2. Rs. 16,000 3. Rs. 15,000 4. Rs. 28,000 Commercial Passenger Cars Fares 4 2 Total 5xy 8xy 14xy 27xy 54000 xy 2000 Passenger 16,000 Can we find the value of x and y?

9. Application in Partnerships If 3 partners are starting a business with an investment of 9 crores in the ratio of 2:3:4, then what will be the profit share of a person who invested minimum if the total profit is 45 lakh.

10. Application in Partnerships If 3 partners are starting a business with an investment of 9 crores in the ratio of 2:3:4, then what will be the profit share of a person who invested minimum if the total profit is 45 lakh. Profit will be in the ratio of 10:15:20-45 lakhs. Right?

11. Application in Partnerships If 3 partners (A,B and C) are starting a business with an investment of 9 crores in the ratio of 2:3:4 respectively. It is also known that, A invested for 6 months while B for 4 months and C for 3 months. What will be the profit share of a person who invested for minimum amount of time, if the total profit is 45 lakh.

12. Three IIM grads (A, B and C) started their joint venture internet business. They invested amount in the ratio of 4:3:2. The amounts were invested for the time period of 1:1/2:1/3. Find A's share if the overall profit is Rs. 74000? 1. Rs. 46,000 2. Rs. 48,000 3. Rs. 52,000 4. None of the above

13. A and B started a joint venture. A invested Rs. 5000 while B invested Rs. 4000. After 1 month, B withdraws 1/4th of his contribution. 3 months after starting the business, A invested Rs. 2000 more. C joins them by contributing Rs. 7000 and at the same time B withdraws 1/4th of his contribution. If the profit at the end of the year is Rs. 1,218 what will be the appx profit share of C? 1. Rs. 433 2. Rs. 488 3. Rs. 588 4. Rs. 844

14. A and B started a joint venture in the month of April. A invested Rs. 5000 while B invested Rs. 4000. After 1 month, B withdraws 1/4th of his contribution. 3 months after starting the business, A invested Rs. 2000 more C joins them by contributing Rs. 7000, at the same time B withdraws 1/4th of his contribution. If the profit at the end of the current fiscal year is Rs. 1,218 what will be the ap 5000 2000 1. Rs. 433 2. Rs. 488 3. Rs. 588 4. Rs. 844 Amount Amount Total 4000 1000 3000*11 37000 7000 5000*37000*9 4000*1+ -7000*1l Total 192000 1218 78000 -40.5% 77000 -40% 488 19.5%