Ashifur August 8, 2023 - 10:17
Problem: A shop stocks four types of caps, there are’ $\frac{1}{3}$ as many red caps as blue caps and $\frac{1}{2}$ as many green caps as red caps. There are equal numbers of green caps and yellow caps. If there are 42 blue caps, then what percent of the total caps in the shop are blue?

View all: BANGLADESH BANK OFFICER | WRITTEN QUESTION (MATH) SOLVE | 2015

Correct Answer:  60 percent of the total caps in the shop is blue.

Explanation:

Given the number of blue cap = 42

The number of red cap = 42 x $\frac{1}{3}$ = 14

& the number of green cap =14 x $\frac{1}{2}$ = 7

As, the green and yellow caps are same of number, so the number of yellow cap = 7.

Total number of cap = 42 +14 + 7 + 7 = 70

As, the green and yellow caps are same of number, so the number of yellow cap = 7.

Total number of cap = 42 +14 + 7 + 7 = 70

The percentage of blue cap = $\frac{42}{70}$ x 100% = 60%

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