CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
The cost of a fabric order varies jointly with the length of cloth and the price per metre. Here, x varies jointly with y and z, and x = 360 when y = 12 and z = 5. Find x when y = 18 and z = 4.
The value of x is 432. With joint variation x = kyz, the constant k is 360 divided by 60, which is 6, and substituting y = 18 and z = 4 gives 6 × 72 = 432.
- A432Correct
- B288
- C324
- D480
Explanation
x = kyz, so k = 360/(12×5) = 6. Then x = 6 × 18 × 4 = 432. The option 288 wrongly uses k = 4, and 480 uses the wrong product.
Did you get it right without looking?
One question tells you little. A timed set on Ratios, Variations and Proportions shows your real accuracy, how long you take and where you lose marks.
More Ratios, Variations and Proportions questions
- A firm's monthly sales to purchases are in the ratio 7:5. If sales for a month are ₹4,90,000, what is the amount of purchases?
- A contractor's 20 men working 8 hours a day can build 120 metres of road in 15 days. How many days will 30 men working 6 hours a day need to…
- The time taken to complete a job by a team varies inversely with the number of workers. If 12 workers complete a job in 15 days, how many da…
- A sum of ₹7,200 is to be divided among Arun, Bala and Chitra so that Arun's share : Bala's share = 2 : 3 and Bala's share : Chitra's share =…
- The ratio 5:8 is to be made equal to a ratio in proportion with 35:k. Find k.
- If 6, 9 and x are in continued proportion, what is the value of x?