CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
The wages paid to casual workers at a Pune workshop vary directly with the number of days worked. If 12 days of work earn ₹5,400, how much will be earned for 20 days at the same rate?
The correct answer is ₹9,000. Wages vary directly with days worked, so the daily rate is 5,400 divided by 12, which is ₹450. Multiplying this rate by 20 days gives ₹9,000 as the earnings for the longer period.
- A₹8,000
- B₹9,000Correct
- C₹9,500
- D₹10,800
Explanation
Wages W = k × days, so k = 5,400/12 = ₹450 per day. For 20 days, W = 450 × 20 = ₹9,000. Check: 5,400 × 20/12 = 9,000. The option ₹10,800 comes from doubling 5,400, which ignores the proportion.
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
- If 6, 9 and x are in continued proportion, what is the value of x?
- A varies directly as B and inversely as the square of C. When B = 8 and C = 2, A = 6. Find A when B = 12 and C = 3.
- If a:b = b:c = 2:3 (a continued proportion), and a = 16, what is the value of c?
- The third proportional to x and 12 is 36. Find the value of x.
- A mixture of 40 litres contains milk and water in the ratio 3 : 1. How many litres of water must be added so that the ratio of milk to water…
- What is the compounded ratio of 2 : 3, 9 : 4 and 5 : 6?