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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

Answer : Option A

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




Comments(7)


karan 22 May 2014 5:47 AM
why a+b=10
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CHANDAN DORA 08 Feb 2014 11:28 PM
i understood clearly using these comment.  Thank you all of you.
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B.Mish 09 Aug 2013 11:00 PM
Dear Sir

Where u get 6/11 ?
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Shankar 13 Aug 2013 1:04 PM
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?
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Priya 20 Sep 2013 4:03 PM
but why 6+5
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Namitha 20 Sep 2013 4:49 PM
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
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Pratheepa 10 Jul 2013 5:42 AM

 % of the Xinvestment =(21000/38500)*100=54.54

Share of X in the profit = 26400 * 54.54 = 14400

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