d Word Problem 1 (Profit calculation on marked price basis) | Job Exam Rare Mathematics (JEMrare) - Solved MCQs
Advertisements

Word Problem 1 (Profit calculation on marked price basis)

Marked Price and Discount 0

Problem 1: How much percent a tradesman increase on to the cost price to his goods so that he may make a net profit of 10% after allowing a customer a discount of 4% of his bill ?

a. 14-7/12%            b. 16-1/2%                        c. 20%                    d. 19-1/2%

(word problems on job exam mathematics.)

Solution:

We suppose her that Cost Price is ‘y’

i-e CP=y

First we will calculate Selling Price SP by using Profit formula

We know that;

Profit = Selling Price- Cost Price

or

P = SP-CP

But Profit is 10% of cost price i-e

P=\frac{10y}{100}

Put values in above relation

\Rightarrow \frac{10y}{100}=SP-y

\Rightarrow SP= \frac{110y}{100}

This is selling price !

Now we will calculate Marked Price MP using Discount formula;

Formula for Discount percentage is ;

Discount%= \frac{Marked Price -Selling Price}{Marked Price}\times100

in short we write

Discount%= \frac{MP -SP}{MP}\times100

Now discount %age is given to be 4%

so,

\Rightarrow 4= \frac{MP -SP}{MP}\times100

\Rightarrow 4MP= 100MP -100SP

\Rightarrow MP= \frac{100}{96}\times SP

But We have calculated above

SP=\frac{110y}{100}

Put value;

\Rightarrow MP=\frac{100}{96}\times\frac{110y}{100}

\Rightarrow MP=\frac{110y}{96}

This is marked price !

Now finally we can calculate sought increase in Cost Price CP using formula

Increase Over CP= \frac{Marked Price - Cost Price}{Cost Price}\times 100

Increase Over CP= \frac{MP - CP}{C P}\times 100

Putting values of MP and CP and simplifying

\Rightarrow Increase Over CP=\frac{110y-96y}{96y}\times100

\Rightarrow Increase Over CP=\frac{14y}{96y}\times100

\Rightarrow Increase Over CP=14\frac{7}{12}%

So the option ‘a’ is correct



 

Digiprove sealCopyright secured by Digiprove © 2020
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  

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Your email address will not be published.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>

All original content on these pages is fingerprinted and certified by Digiprove
en English
af Afrikaanssq Shqipam አማርኛar العربيةhy Հայերենaz Azərbaycan dilieu Euskarabe Беларуская моваbn বাংলাbs Bosanskibg Българскиca Catalàceb Cebuanony Chichewazh-CN 简体中文zh-TW 繁體中文co Corsuhr Hrvatskics Čeština‎da Dansknl Nederlandsen Englisheo Esperantoet Eestitl Filipinofi Suomifr Françaisfy Fryskgl Galegoka ქართულიde Deutschel Ελληνικάgu ગુજરાતીht Kreyol ayisyenha Harshen Hausahaw Ōlelo Hawaiʻiiw עִבְרִיתhi हिन्दीhmn Hmonghu Magyaris Íslenskaig Igboid Bahasa Indonesiaga Gaeligeit Italianoja 日本語jw Basa Jawakn ಕನ್ನಡkk Қазақ тіліkm ភាសាខ្មែរko 한국어ku كوردی‎ky Кыргызчаlo ພາສາລາວla Latinlv Latviešu valodalt Lietuvių kalbalb Lëtzebuergeschmk Македонски јазикmg Malagasyms Bahasa Melayuml മലയാളംmt Maltesemi Te Reo Māorimr मराठीmn Монголmy ဗမာစာne नेपालीno Norsk bokmålps پښتوfa فارسیpl Polskipt Portuguêspa ਪੰਜਾਬੀro Românăru Русскийsm Samoangd Gàidhligsr Српски језикst Sesothosn Shonasd سنڌيsi සිංහලsk Slovenčinasl Slovenščinaso Afsoomaalies Españolsu Basa Sundasw Kiswahilisv Svenskatg Тоҷикӣta தமிழ்te తెలుగుth ไทยtr Türkçeuk Українськаur اردوuz O‘zbekchavi Tiếng Việtcy Cymraegxh isiXhosayi יידישyo Yorùbázu Zulu