Raj gives the senior secondary examination from C.B.S.E. Board. He took five papers in an examination having the same maximum marks for each. His marks were in the proportion 4 ∶ 5 ∶ 9 ∶ 10 ∶ 12. In all subject together he obtained 40% of the total marks .Then, the number of subjects in which he got: a) Less than 50% are 3. b) Less than 70% are 2. c) More than 60% are 3. Choose the correct option(s): 

Raj gives the senior secondary examination from C.B.S.E. Board. He took five papers in an examination having the same maximum marks for each. His marks were in the proportion 4 ∶ 5 ∶ 9 ∶ 10 ∶ 12. In all subject together he obtained 40% of the total marks .Then, the number of subjects in which he got: a) Less than 50% are 3. b) Less than 70% are 2. c) More than 60% are 3. Choose the correct option(s):  Correct Answer a only 

Given∶

Marks were in the proportion = 4 ∶ 5 ∶ 9 ∶ 10 ∶ 12.

Raj obtained 40% of the total marks.

Formula Used∶

Basics of percentage and ratios.

Calculation∶

Let the marks scored in 5 subjects be 4x, 5x, 9x, 10x and 12x.

Total marks in all 5 subjects = 40x

Maximum marks of the 5 subjects = 40x/0.4     

∴ Maximum marks in each subject = 40x/(0.4 × 5) = 20x

Hence percentage in each subject,

1st subject = (4x/20x) × 100 = 20%

2nd subject = (5x/20x) × 100 = 25%

3rd subject = (9x/20x) × 100 = 45%

4th subject = (10x/20x) × 100 = 50%

5th subject = (12x/20x) × 100 = 60%

∴ Number of subjects in which he got less than 50% are 3, less than 60% are 4 and less than 70% are 5. So, option 1 is correct.

Related Questions

The conditions regarding selection from a list of suitable candidates to be called for interview after a written examination for appointment of management-level persons to a multi-national company providing accounting services and sales are mentioned below. Candidates: a) Must have a Bachelor's degree in Basic Science with 65% or more marks or BE with 55% or more marks. b) Must have passed the examination with 70% or more marks. c) Age must be between 25 to 30 years as of 1/4/18. d) Must have 3 years of experience in an Accounting Institution and must have a Diploma in Accounting with 60% or more marks. e) Must be currently getting CTC of Rs. 6 lakh or more per annum. If the candidate: 1) If he fulfills all the other conditions other than A above, he will be designated as Junior Accountant. 2) If he fulfills all the other conditions other than (d) and (e) above, he can be designated as Trainee-Accountant. If he fulfills all the above conditions including 5 years of experience, he can be designated as a Senior Accountant. He can be designated as Manager (Accounts) if he fulfills all the above criteria including educational qualifications of CA/ ICWA/ MBA (Finance). Study all the above information and answer the following question. Varun has passed the CA exam and has a bachelor's degree in basic science and a diploma in accountancy, having scored 75% or more in the written examination during his entire career and also in the written examination. His age is 27 years and with 4 years of experience in Accountancy, he has a CTC salary of 18 lakhs per annum. To which of the following positions can he be referred? Select from the given options.