On a certain assembly line, the rejection rate for Hyundai i10s production was…
2026
On a certain assembly line, the rejection rate for Hyundai i10s production was 4 percent, for Hyundai i20s production 8 percent and for the 2 cars combined 7 percent. What was the ratio of Hyundai's i10 and i20 production?
- A.
1/3
- B.
2/1
- C.
1/1
- D.
1/2
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Show answer & explanation
Correct answer: A
Given:
Hyundai i10: 4% rejection → 96% acceptance
Hyundai i20: 8% rejection → 92% acceptance\
Combined: 7% rejection → 93% acceptance
Let:
x = i10 production
y = i20 production
Equation (using acceptance rates):
0.96x+0.92y=0.93(x+y)
0.96x+0.92y=0.93(x+y)
Solve:
0.96x−0.93x = 0.93y−0.92y
0.03x = 0.01y
x/y=1/3
Answer:
The ratio of Hyundai i10 to i20 production is 1/3 (1:3).