d Word Problem 3 | Job Exam Rare Mathematics (JEMrare) - Solved MCQs

Word Problem 3

Problem 3 : A sells a house to B at profit of 5% and B sells it to C at profit of 10%. If C pays Rs 231 for it, what did it cost to A ?


Here we have to find the cost price which A paid for it

We take A, B and C’s cases individually:

A’s Case:

Suppose cost price (CP) for A is x. Given here that A earns 5% profit i-e profit is 5% of cost price.

Since A is earning profit, We use Profit formula here which is;


Putting values of P (profit) and CP (cost price)

5% Of x=SP-x

\Rightarrow \frac{5}{100}x= SP-x

From there we can get sale price SP for A

\Rightarrow \frac{5}{100}x+x= SP


\Rightarrow SP=\frac{105x}{100}

Now this sale price will become cost price for B



B’s Case

B also earned profit, we again use here profit formula.


Given in question that B earns 10% profit of his cost price so,

\Rightarrow 10% of \frac{105x}{100}=SP-\frac{105x}{100}

\Rightarrow \frac{10}{100}\times \frac{105x}{100}=SP-\frac{105x}{100}

Taking -ve term to other side;

\Rightarrow \frac{10}{100}\times \frac{105x}{100}+\frac{105x}{100}=SP


SP= \frac{10}{100}\times \frac{105x}{100}+\frac{105x}{100}

= (\frac{10}{100}+1)\times \frac{105x}{100}


After  simplification, we get sale price for B as;


Now this sale price of B will become cost price of C

C’s Case

We are given that C pays Rs 231 to B i-e cost price of C is Rs. 231. But we found C’s cost price to be \frac{231x}{200}

Both are cost price for C , so these should be equal;



x=231 \times \frac{200}{231}


So, A’s cost was Rs 200/-

math word problems 2nd grade,
addition word problems,
word problems for grade 4,
multiplication word problems,
3rd grade math word problems pdf,
word problems for grade 3,
gre test sample,
gre test prep,
gre practice test.maths mcqs with solution,
maths formulas for nts test,
nts test master maths,
nts questions,
english mcqs for nts,
pak mcqs basic maths,
nts math syllabus,
geometry mcqs for nts,
nts past papers,
nts gat general maths questions,
msc mathematics mcqs, Job Exam Mathematics,free basic skills test for employment,





You may submit a MCQ or maths problem with solution tips here in the comment box below! If you could not solve anyone, you may submit a MCQ or maths problem without solution as well. We will try our level best to solve it for you!

Your email address will not be published.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>