"> Question 5 & 6 | Job Exam Rare Mathematics (JEMrare)

Question 5 & 6

Question 5: A man purchased a thing for Rs 120 and got a discount of 25%. What is the real price paid by him ?

FPSC IB AD 2017



Solution:  

The man was given discount on some marked price or price written on the item

Suppose Marked Price = x

So,  sale price was set after giving a discount of 25 % on marked price ‘x’

i-e

Discount= \frac{25}{100} of x

This discount was subtracted from marked price to set final sale price

i-e

SP = x - \frac{25}{100} of x

But SP = 120

\Rightarrow 120 = x - \frac{25}{100} of x

\Rightarrow 120 = \frac{100x -25x }{100}

\Rightarrow 120 = \frac{75x }{100}

\Rightarrow x= \frac{120 \times 100 }{75}

\Rightarrow x= 160

So , actual price or marked price was 160Rs

Question 6: A man started a business with a capital of Rs 9000 and after 4 months another man joined him with a capital of Rs 2000 and then business goes on well. After one year the profit of Rs 2520 is earned. What is second man’s share ?

FPSC AD IB 2017

Solution:

First man is doing business for complete one year and second man does business for 8 months !

First man’s investment for 12 months ;= 9000 x 12=108000

A second man’s investment for 8 months; = 12000 x 8= 96000

Ratio

First man:Second man

108000:96000

3:4

Sum of ratios : 3+4 = 7

Now first man’s share

 =ratio \times \frac{amount}{sum of ratio}

=3 \times \frac{2520}{7}

=1080

And second man’s share;

=ratio \times \frac{amount}{sum of ratio}

=4 \times \frac{2520}{7}

=1440

Leave a Reply

Your email address will not be published.

You may use these <abbr title="HyperText Markup Language">HTML</abbr> tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>