User Name Remember Me? Password

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 November 3rd, 2018, 02:17 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 458 Thanks: 1 Why is my solution wrong? Meena purchased two fans each at Rs 1200. She sold one fan at the loss of 5% and other at the gain of 10%. Find the total gain or loss percent. Solution: C.P of first fans = 1200, Loss of first fan = 5% S.P of first fan = ((100-L% )/100)*C.P → S.P = ((100-5% )/100)*1200 → S.P = (95%)/100*1200 → S.P = 1140 C.P of second fan = 1200, gain of second fan = 10% → S.P = ((100 +10% )/100)*1200 → S.P = ((110% )/100)*1200 → S.P = 1320 Total S.P → 1140 + 1320 = 2460 Total C.P → 1200 + 1200 = 2400 Profit% = (S.P-C.P )/100 = (2460-2400)/100 = 60/100 = 60% But answer is 2.5%. Please tell where did I done wrong? November 3rd, 2018, 06:19 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038 1200 - 05% = 1140 1200 + 10% = 1320 ----------------------- 2400 + 2.5% = 2460 November 3rd, 2018, 06:28 AM   #3
Global Moderator

Joined: Dec 2006

Posts: 20,926
Thanks: 2205

Quote:
 Originally Posted by Ganesh Ujwal Profit% = (S.P - C.P )/100
That should be Profit% = ((S.P. - C.P.)/C.P.)*100%, which gives (60/2400)*100%, i.e. 2.5%. November 6th, 2018, 02:20 AM   #4
Senior Member

Joined: Aug 2014
From: India

Posts: 458
Thanks: 1

Quote:
 Originally Posted by skipjack That should be Profit% = ((S.P. - C.P.)/C.P.)*100%, which gives (60/2400)*100%, i.e. 2.5%.
Are you saying my formula is wrong?  November 6th, 2018, 05:22 AM   #5
Senior Member

Joined: May 2016
From: USA

Posts: 1,310
Thanks: 551

Quote:
 Originally Posted by Ganesh Ujwal Meena purchased two fans each at Rs 1200. She sold one fan at the loss of 5% and other at the gain of 10%. Find the total gain or loss percent. Solution: C.P of first fans = 1200, Loss of first fan = 5% S.P of first fan = ((100-L% )/100)*C.P → S.P = ((100-5% )/100)*1200 → S.P = (95%)/100*1200 → S.P = 1140 C.P of second fan = 1200, gain of second fan = 10% → S.P = ((100 +10% )/100)*1200 → S.P = ((110% )/100)*1200 → S.P = 1320 Total S.P → 1140 + 1320 = 2460 Total C.P → 1200 + 1200 = 2400 Profit% = (S.P-C.P )/100 = (2460-2400)/100 = 60/100 = 60% But answer is 2.5%. Please tell where did I done wrong?
Yes, your formula in the last line is wrong.

You should have divided by the cost price of 2400. Why in the world would you divide by 100?

$60 \div 2400 = 0.025.$

Now if you want to turn 0.025 into a percent, you multiply by 100.

$0.025 \times \dfrac{100\%}{1} = 2.5\%.$

Last edited by JeffM1; November 6th, 2018 at 05:26 AM. Tags solution, wrong Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post John Travolski Differential Equations 3 August 24th, 2017 09:52 AM davedave Differential Equations 2 June 28th, 2017 09:01 AM babaliaris Calculus 3 August 28th, 2016 03:08 AM szz Differential Equations 3 December 28th, 2014 07:18 PM dennisdixon Algebra 1 January 17th, 2013 11:09 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.      