Problem: A man’s income from interest and wages is Tk 500. He doubles his investment and also \gets an increase of 50% in wages and his income increases to Tk 800. What was his original income separately in terms of interest and wages?

View all: SOUTHEAST BANK (PO) | WRITTEN QUESTION (MATH) SOLVE | 2016

Correct Answer: income separately in terms of interest & wages will be Tk. 100 & Tk. 400 respectively.

Explanation:

Let, (i) stands for interest

& ‘W’ stands for wage.

According to question, I + W = 500 (i)

Afier 50% increas in wage, wage will be = (w + 50% of w)

= ( W+$\frac{50w}{100}$) = $\frac{3w}{2}$

So, according to question, we get, 21+$\frac{3w}{2}$ = 800 ……………………(ii)

Now, from equation (ii), we get

21+ $\frac{3w}{2}$ = 800

=> 2(500-w)+$\frac{3w}{2}$ = 800

=> 1000-2w+ $\frac{3w}{2}$ = 800

=> 2w – $\frac{3w}{2}$ = 200

=> 4w – 3w = 400

w = 400

Now, putting w = 400 in equation (i) we get

I+ 400 = 500

I = 100

Income separately in terms of interest & wages will be Tk. 100 & Tk. 400 respectively.

Write Reply...
You should read | Topics/Questions
User Avatar

Articles

0

Comments

0

Rating

0