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The ratio of number of units manufactured of A, B and C is 5 : 6 : 7. The number of units manufactured of D is 200. The ratio of number of units sold of A, C and D is 6 : 8 : 5. The number of units sold of A is 60% of the total units manufactured of A and that of B is 50% of total units manufactured of B.
240 units of C are sold.
The number of units of E manufactured are 50% more than number of units manufactured of A and number of units of E sold are 25% less than the number of units sold by C. Find the diference between the number of units manufactured of E and number of units sold of E.
230
240
250
260
270
- Given the manufacturing ratios, let units manufactured of A be 5x, B be 6x, and C be 7x.
- A: Units sold are 60% of 5x, so 0.6 * 5x = 3x.
- B: Units sold are 50% of 6x, so 0.5 * 6x = 3x.
- C: 7x units manufactured and 240 sold; thus, 7x = 240 meaning x = 240/7.
- A: x = 240/7; units manufactured = 5x = 240 * 5/7 = 171.43.
- E: Manufactured are 50% more than A, so 240 * 5/7 * 1.5 = 257.14.
- 25% less than C’s sales: 240 * 0.75 = 180 units sold of E.
- Difference: 257.14 (manufactured) - 180 (sold) = 77.14, round to 77.
The calculations show your choice matches none of the options, and since 270 cannot be derived:
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