Ratio Proportion and Variation Solved Questions Video Lecture

This is the third video of Ratio Proportion and Variation and through the questions that I have solved in this video I would revise all those concepts that I have explained in the theory part. Obviously question solving becomes the most important part of studying and through this question solving I have told you how to approach these questions while solving them in the main exam be it SSC CGL or BANK PO or any other competitive exam.

Question 1. Sita, Meeta and Geeta inherited few gold coins. If they share those coins in the ratio 1:5:8, then 1 coin remains, but if they share the coins in the ratio 1:3:7, then no coins remain left. Comparing both the cases, what is the minimum possible difference in the number of coins that Geeta can get ??

Question 2. X,Y and Z together earn Rs. 1450 and spend 60 %, 65 % and 70 % of their salaries respectively. If their savings are 14:21:15 . The salary of Y is

Question 3. The original cost of an article is 3 times the value of the raw material used. The cost of raw material increases in the ratio of 5:12 and manufacturing expenses in the ratio 4:5 . The article, which originally cost Rs. 6, will now cost how much ?

Question 4. In what proportion must a number be added so that 1/4th of the first part and 1/3rd of the second part are together equal to half of the original number.

Question 5. Ram and Shyam started off a partnership business by investing Rs. 1 crore and Rs. 2 crore respectively at the beginning of the year. Each of them has withdrawn one-fourth of their investment after each quarter till second quarter. At this point Geeta and Mita joined them with Rs. 50 lakh and Rs. 1 crore respectively. Mita withdrew her entire investment after three months. If profit at the end of the year is Rs. 41 lakhs, the combined share of Ram and Shyam is

Question 6. The value of a diamond is directly proportional to the square of its weight. If a diamond weighing four kg breaks into two pieces, its total value decreases by 37.5 %. The weights of the two pieces are

Question 7. The value of gold plate is directly proportional to square of its diameter, while the thickness remains the same. It also directly proportional to its thickness while its diameter remains the same. Two gold plates have their diameters in the ratio of 4:3 . Find the ratio of their thickness if the value of the first is four times that of the second.

Question 8. The reduction in the speed of an engine is directly proportional to the square of the number of bogies attached to it during the reduced speed. The speed of the train is 100 km/hr when there are four bogies attached and 55 km/hr when there are five bogies attached. What is the maximum number of bogies that can be attached to the train so that, even with those many number of bogies, it can just move ?

Question 9. Assume that the rate of consumption of fuel by an aircraft varies as the square of the speed and is 1000 kg per hour when the speed is 120 miles/hour. If the fuel costs the aircraft company Rs. 150 per 10 kg and if other expenses of the aircraft are Rs. 12000 per hour. Find the total cost in rupees per 10 miles, when the speed is 240 miles per hour ?

Question 10. Rs. 3000 is distributed among X,Y and Z such that X gets 2/3rd of what Y and Z get together and Z gets 1/2 of what X and Y together get. Find Z's share ?

Question 11. The expense of a college trip are partly constant and partly vary as the number of students joining the trip. The cost was Rs. 10000 for 150 students and Rs. 8400 for 120 students. What will be the cost when there are 330 boys ?

Question 12. If 4/9 is the duplicate ratio (4+k)/(9+k), then find a possible value of k ?

Question 13. The cost of three gold bars varies directly as the square of the weight of the gold bar. Gold bars of weight in the ratio 4:5:6 were brought from three different places and melted together to form a big bar. The big bar costed Rs. 4440 more than the total cost of gold bars. What was the cost of the heaviest gold bar ?

Question 14. Find x:y from the equation 15y² - 26xy + 8x² = 0, given that x/y is a proper fraction.

Question 15. The distance through which a freely falling body drops is directly proportional to the square of the time for which it drops. If the body falls through 320 meter in eight seconds, then find the distance that the body falls through in next 2 seconds ?

Question 16. If x:y  = 2:3 and m:n = 3:2 what is the value of (2x²m³+3y²n³):(3xymn²+4x²m²n²)