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Important points:
1 → You actually need not solve the problem to get the numerical answer
2→ Data sufficiency is not an independent topic in itself. It makes use of several maths topics such as ratios, percentages,interest's averages etc as well as non maths topics also.
3→ Our job is just to check whether the data or statements statements given are sufficient to answer the given question.
4→ This section is designed to test your skills and capability to grasp what minimum information is needed , discard unwanted details to save time in solving problems .
Let's see how to solve these questions in step by step manner
Directions: Each of the questions below consists of a question and three statements numbered I, II,III given below it . You have to decide whether the data provided in the statements are sufficient to answer the question.
Example 1:
What is the labelled price of the book ?
I. Cost price of the book is 500
II. Selling price of the book after offering 5% discount on the labelled price is Rs. 608
III. Profit earned would have been 12 % if no discount was offered
a) Only I b) Only II c) All I,II,III are required d) Cannot be answered even with all I,II,III
Solution:
Step 1 : Check 1st statement.
Cost price of the book is given as 500 which is alone not useful in finding labelled price.
Step 2: Check 2nd statement
A hint on labelled price is given i .e labelled price - 5 % of labelled price = 608
So ,
95 % of labelled price = 608 then
100 % = ?
→ 100 / 95 X 608
= 640. So statement II alone is sufficient to answer the given question
You can now straight away tick the answer as option b without checking statement III.
Example 2:
What is Ramya's share in the profit earned at the end of 2 years in a joint business run by Ramya, Nidhi and Suhasini ?
I. Ramya invested Rs 85,00 to start the business
II. Nidhi and Suhasini joined Ramya's business after six months investing amounts in the ratio of 3:5 respectively
III. Total amount invested by Nidhi and Sushasini is 2.3 lakhs.
a) Only II b) Only either II or III c) Only III d) Information in all three statements is required for answering the question
Solution:
Step 1 : check 1st statement
85,000 investment is the only information. Which alone is not useful in determining question
Step 2: Check 2nd statement
Nidhi and Sushasini investment in 3:5 ratio after 6 mix months alone does not help in determining Ramya's share in profit as amount invested by them is not given
Step 3 : Check 3rd statement
Total amount invested by Nidhi and Suhasini is given as 2.5 laksh's . However this alone cannot help us in determining Ramya's share in profit.
Step 4: Check all the 3 statements and see if by combining the information given in them is useful in determining the answer
Nidhi investment = 3 / 8 X 2.5 lakhs
= 93750
Suhasini investment = 5/8 X 2.5 lakhs
=156250.
Now there investments share ratio is 85,00 ( Ramya) : 93,750( Nidhi) : 1,56,250 ( Suhasini)
So , after 2 years there profit share would be in the ratio of
85,000 X 24 : 93,750 X 18 : 1,56,250 X 18
24 , 18 are → Number of months Ramaya, Nidhi and Sushasini have been in business
So. By using information from all three statements we could be able to find out Ramya's share in profit. Hence tick the answer as option d .
Click here to Read more Reasoning topics
1 → You actually need not solve the problem to get the numerical answer
2→ Data sufficiency is not an independent topic in itself. It makes use of several maths topics such as ratios, percentages,interest's averages etc as well as non maths topics also.
3→ Our job is just to check whether the data or statements statements given are sufficient to answer the given question.
4→ This section is designed to test your skills and capability to grasp what minimum information is needed , discard unwanted details to save time in solving problems .
Let's see how to solve these questions in step by step manner
Directions: Each of the questions below consists of a question and three statements numbered I, II,III given below it . You have to decide whether the data provided in the statements are sufficient to answer the question.
Example 1:
What is the labelled price of the book ?
I. Cost price of the book is 500
II. Selling price of the book after offering 5% discount on the labelled price is Rs. 608
III. Profit earned would have been 12 % if no discount was offered
a) Only I b) Only II c) All I,II,III are required d) Cannot be answered even with all I,II,III
Solution:
Step 1 : Check 1st statement.
Cost price of the book is given as 500 which is alone not useful in finding labelled price.
Step 2: Check 2nd statement
A hint on labelled price is given i .e labelled price - 5 % of labelled price = 608
So ,
95 % of labelled price = 608 then
100 % = ?
→ 100 / 95 X 608
= 640. So statement II alone is sufficient to answer the given question
You can now straight away tick the answer as option b without checking statement III.
Example 2:
What is Ramya's share in the profit earned at the end of 2 years in a joint business run by Ramya, Nidhi and Suhasini ?
I. Ramya invested Rs 85,00 to start the business
II. Nidhi and Suhasini joined Ramya's business after six months investing amounts in the ratio of 3:5 respectively
III. Total amount invested by Nidhi and Sushasini is 2.3 lakhs.
a) Only II b) Only either II or III c) Only III d) Information in all three statements is required for answering the question
Solution:
Step 1 : check 1st statement
85,000 investment is the only information. Which alone is not useful in determining question
Step 2: Check 2nd statement
Nidhi and Sushasini investment in 3:5 ratio after 6 mix months alone does not help in determining Ramya's share in profit as amount invested by them is not given
Step 3 : Check 3rd statement
Total amount invested by Nidhi and Suhasini is given as 2.5 laksh's . However this alone cannot help us in determining Ramya's share in profit.
Step 4: Check all the 3 statements and see if by combining the information given in them is useful in determining the answer
Nidhi investment = 3 / 8 X 2.5 lakhs
= 93750
Suhasini investment = 5/8 X 2.5 lakhs
=156250.
Now there investments share ratio is 85,00 ( Ramya) : 93,750( Nidhi) : 1,56,250 ( Suhasini)
So , after 2 years there profit share would be in the ratio of
85,000 X 24 : 93,750 X 18 : 1,56,250 X 18
24 , 18 are → Number of months Ramaya, Nidhi and Sushasini have been in business
So. By using information from all three statements we could be able to find out Ramya's share in profit. Hence tick the answer as option d .
Click here to Read more Reasoning topics
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