One-fifth of the products made by a company is defective. Four-fifth of the defectives are rejected and $\frac{1}{20}$ the good products are rejected by mistake. If all the products not rejected are sold, what percent of the products sold by the company defective?

Ashifur August 8, 2023 - 14:35

Problem: One-fifth of the products made by a company is defective. Four-fifth of the defectives are rejected and $\frac{1}{20}$ the good products are rejected by mistake. If all the products not rejected are sold, what percent of the products sold by the company defective?

View all: CITY BANK LTD. | OFFICER | WRITTEN QUESTION SOLVE(MATH) | 1999

Correct Answer: 5 %

Explanation:

Defective products =$\frac{1}{5}$

Hence Good products = (1 – $\frac{1}{5}$) =$\frac{4}{5}$

Rejected of good products = $\frac{4}{5}$ of $\frac{1}{20}$=$\frac{1}{25}$

Rejected of defective products = $\frac{1}{5}$ of $\frac{4}{5}$ = $\frac{4}{25}$

Sold of defective products = $\frac{1}{5}$ – $\frac{4}{25}$ = $\frac{1}{25}$

Total rejected products = 1 – $\frac{1}{5}$ = $\frac{4}{5}$

Among $\frac{4}{5}$ sold products defective = $\frac{1}{25}$

Among 100 sold products defective =$\frac{100\cdot 5}{25 \cdot 4}$= 5%

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