CAT Exam  >  CAT Questions  >  Tanya and Sanya invested some amount of money... Start Learning for Free
Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?
  • a)
    Rs. 1,23,000
  • b)
    Rs. 1,30,000
  • c)
    Rs. 1,43,000
  • d)
    Rs. 1,56,000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Tanya and Sanya invested some amount of money in the ratio 7 : 6 for t...
Let the total profit be Rs. x.
After donating 20% profit to old age home, remaining profit = 0.8x.
Out of the remaining profit, 50% is reinvested.
So, the remaining profit = 0.4x
Now this 0.4x has to be divided in the ratio 7 : 6.
Tanya's share = 0.4x × 
Sanya's share = 0.4x × 
Difference = 0.4x × – 0.4x ×  = 4400
= 0.4x ×= 4400
x = = Rs. 1,43,000
View all questions of this test
Most Upvoted Answer
Tanya and Sanya invested some amount of money in the ratio 7 : 6 for t...
Given:
Tanya and Sanya invested some amount of money in the ratio 7:6 for the same period.

To find:
The total profit.

Solution:
Let's assume the initial investments of Tanya and Sanya as 7x and 6x respectively.

1. Finding the total profit:
Let the total profit be P.

2. Calculating the amount donated to the old age home:
According to the question, 20% of the profit was donated to an old age home. Therefore, the amount donated is 0.20P.

3. Calculating the remaining profit:
The remaining profit after donation is (P - 0.20P) = 0.80P.

4. Reinvesting 50% of the remaining profit:
Out of the remaining profit, 50% is reinvested. Therefore, the reinvested amount is 0.50 * 0.80P = 0.40P.

5. Dividing the rest of the profit in the ratio of their initial contribution:
The remaining profit after reinvestment is (0.80P - 0.40P) = 0.40P.
According to the question, the difference between their shares of profit is Rs. 4400.
The ratio of their initial investments is 7:6, which simplifies to 7x:6x.

The difference in their shares is (7x - 6x) = x.
Given that x = Rs. 4400, we can calculate the value of x.

x = Rs. 4400
x = 4400

6. Finding the total profit:
Now, we can substitute the value of x in the equation for the remaining profit.
0.40P = 4400
P = 4400 / 0.40
P = Rs. 11000

Hence, the total profit is Rs. 11000.

Answer:
The total profit is Rs. 11000.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer?
Question Description
Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer?.
Solutions for Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Tanya and Sanya invested some amount of money in the ratio 7 : 6 for the same period. At the end of the year, 20% of the profit was donated to an old age home. Out of the remaining profit, 50% is reinvested and the rest is divided in the ratio of their initial contribution. If the difference between their shares of profit is Rs. 4400, what was the total profit?a)Rs. 1,23,000b)Rs. 1,30,000c)Rs. 1,43,000d)Rs. 1,56,000Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev