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Lecture 09
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Lecture 09

1. RATIO & PROPORTIONS Lecture 09 Venkatesan S IIMB Alumni

2. So, the general form of such variations will be, A K1+K2 B

3. The fee (per student in Rs.) charged by Rahul for the "Training" program is inversely proportional to the number of interested students. The normal price is Rs.40 per student if there are 600 students. But for every increase of Rs.1 in the fee, he loses 5 students. What is the maximum amount he can earn?

4. The fee (per student in Rs.) charged by Rahul for the "Training" program is inversely proportional to the number of interested students. The normal price is Rs.40 per student if there are 600 students. But for every increase of Rs.1 in the fee, he loses 5 students. What is the maximum amount he can earn? Charge 40 50 60 70 80 90 # students 600 550 500 450 400 350 Total 24000 27500 30000 31500 32000 31500

5. The fee (per student in Rs.) charged by Rahul for the "Training" program is inversely proportional to the number of interested students. The normal price is Rs.40 per student if there are 600 students. But for every increase of Rs.1 in the fee, he loses 5 students. What is the maximum amount he can earn? Charge 40 50 60 70 80 90 79 81 # students 600 550 500 450 400 350 405 395 Total 24000 27500 30000 31500 32000 31500 31995 31995

6. The duration of the railway journey varies as the distance and inversely as the velocity; the velocity varies directly as the square root of the quantity of the fuel used, and inversely as the number of bogies in the train. In a journey of 50 km in half an hour with 18 bogies, 100 kg fuel is required. How much fuel will be consumed in a journey of 42 km in 28 minutes with 16 bogies? 1. 48 kg 2. 3. 4. 56 kg 64 kg None of the above.

7. The duration of the railway journey varies as the distance and inversely as the velocity; the velocity varies directly as the square root of the quantity of the fuel used, and inversely as the number of bogies in the train. In a journey of 50 km in half an hour with 18 bogies, 100 kg fuel is required. How much fuel will be consumed in a journey of 42 km in 28 minutes with 16 bogies? 1. 48 kg 2. 56 kg 3. 64 kg 4. None of the above. Distance 50 Velocity Time oc 0.5-k Velocity V100 10 Distance Velocity18 18 Velocity 50 10 0.5 k 18 0.5 90

8. The duration of the railway journey varies as the distance and inversely as the velocity; the velocity varies directly as the square root of the quantity of the fuel used, and inversely as the number of bogies in the train. In a journey of 50 km in half an hour with 18 bogies, 100 kg fuel is required. How much fuel will be consumed in a journey of 42 km in 28 minutes with 16 bogies? Distance 1. 48 kg 2. 56 kg 3. 64 kg 4. None of the above. 50 Velocity' V100 10 Time- k* 0.5= k * Velocity 28 60 42 Velocity = 18-18 Velocity Velocity- 16 28 0.5 42 60 90 VQ 50 10 0.5= k *-* 18 0.5 Q 64