1. X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit? A. Rs.14400 B. Rs.26400 C. Rs.12000 D. Rs.12500

Here is the answer and explanation

Explanation :

Ratio of the investment = 21000 : 17500 = 210 : 175 = 42 : 35 = 6 : 5

Share of X in the profit = 26400 * (6/11) = 2400 * 6 = 14400

ajmal
2016-07-15 06:40:27
another method

investment of x=21000
investment of y=17500

total=38500
% of x = 21000*100/38500 = 54.5454% (∵ comes from 38500*(x/100)=21000)

profit=26400
Share of x = 26400*54.55% =14401
Saurabh Sarkar
2016-04-24 15:59:24
Stupid question to ask but how did we get 42 : 35 from 210 : 175
sam
2016-04-25 20:02:17
210:175
=(210/5):(175/5)
=42:35
Sumathi.R
2015-11-13 06:41:51
X investment=21000=1.2   [(21000/17500)=1.2]
Y investment=17500=1   (we are assuming 17500/17500=1)

so X share is  26400/2.2*1.2=14400   [1.2+1=2.2]
karan
2014-05-22 12:47:29
why a+b=10
CHANDAN DORA
2014-02-09 06:28:53
i understood clearly using these comment.  Thank you all of you.
B.Mish
2013-08-10 06:00:23
Dear Sir

Where u get 6/11 ?
Shankar
2013-08-13 20:04:30
Assume a : b = 6 : 5  and a+b = 10
then a = 10 * 6/11 and b = 10 * 5/11  where 11 = 6+5

In this question,  investment of X :  investment of Y = 6 : 5
Hence, Profit of X :  Profit of Y = 6 : 5 (as we are assuming that profit is proportional to the investment)
total Profit = Rs.26400

Hence, Profit of X = 26400 * 6/11 where 11 = 6+5 . Is this clear?
Priya
2013-09-20 23:03:49
but why 6+5
Namitha
2013-09-20 23:49:02
Let a : b = 6 : 5
Then a = 6k and b = 5k where k is a constant

If a + b = 10,
6k + 5k = 10
=> 11k = 10
=> k = 10/11

Hence, a = 6*10/11 and b = 5*10/11

No need to remember this derivation.
if a : b = 6 : 5  and a+b = 10, we can always directly take
a = 10 * 6/11 and b = 10 * 5/11
12Next Go

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