Problem: A man works for certain hours . If his hourly payment increase by 20%, what percent of working hours he may reduce so that total income remain unchanged?

View all: BASIC BANK LTD (CASHIR) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: 16$\frac{50}{3}$%

Explanation:

Let, the hourly income = 100 Tk.

After salary increase by 20%. his present hourly salary = 100 +20 = 120Tk.

Now,

If present salary is 120 TK then previous salary was = 100 TK

So, If present salary is 100 TK then previous salary was = $\frac{100\times 100}{120}$ = $\frac{250}{3}$ TK

so, He will reduce his working hour by = $(100-\frac{250}{3})$% = $(100-\frac{300-250}{3})$% = $\frac{50}{3}$ =16$\frac{50}{3}$%

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