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)

CHANDAN DORA
09 Feb 2014 3:58 PM

i understood clearly using these comment. Thank you all of you.

Shankar
14 Aug 2013 5:34 AM

Assume

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?

**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?

Namitha
21 Sep 2013 9:19 AM

Let

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.

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

**a : b = 6 : 5**

Then a = 6k and b = 5k where k is a constantIf 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 takea = 10 * 6/11 and b = 10 * 5/11

Pratheepa
10 Jul 2013 10:12 PM

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

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

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