Sawaal
14
Q:

A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ?

A) 1:3 B) 2:1
C) 3:2 D) 2:3

Answer:   C) 3:2



Explanation:

Let us assume S as number of shirts and T as number of trousers
Given that each trouser cost = Rs.70 and that of shirt = Rs.30
Therefore, 70 T + 30 S = 810
=> 7T + 3S = 81......(1)
T = ( 81 - 3S )/7

We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of T
Simplifying by taking 3 as common factor i.e, 3(27-S) / 7
In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7

Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9

Hence for S, put T in eq(1), we get
S = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.
The ratio of T:S = 9:6 = 3:2.

Subject: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO
Related Questions
Q:

If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : Z?

 

A) 105 : 50 : 84 B) 24 : 25 : 32
C) 15 : 21 : 25 D) 20 : 42 : 25
 
Answer & Explanation Answer: D) 20 : 42 : 25

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

16 25429
Q:

If 3A = 2B = C, then A : B : C = ?

A) 6 : 2 : 3 B) 1/3 : 1/2 : 1
C) 3 : 2 : 1 D) 1 : 3 : 2
 
Answer & Explanation Answer: B) 1/3 : 1/2 : 1

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

14 1516
Q:

The ratio of the number of marbles that Pulak and Menaja had was 5:9 while the ratio of the number of marbles that Jairam and Menaja had was 7:18. What is the ratio of the number of marbles that Pulak and Jairam had?

 

A) 10:7 B) 2:3  
C) 5:7 D) 7:5
 
Answer & Explanation Answer: A) 10:7

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

7 1237
Q:

Two numbers are in ratio 3:4. When 3 is subtracted from both the numbers, the ratio becomes 2:3. Find the sum of the numbers.

A) 16 B) 20
C) 21 D) 22
 
Answer & Explanation Answer: C) 21

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

11 1157
Q:

If 3/5 of x is equal to 4/9 of y, then what is the ratio of x and y?

 

A) 11 : 15 B) 15 : 23
C) 20 : 27 D) 14 : 25
 
Answer & Explanation Answer: D) 14 : 25

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

11 27314
Q:

If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

 

A) 5 : 2   B) 10 : 17  
C) 9 : 4 D) 5 : 4
 
Answer & Explanation Answer: A) 5 : 2  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 22016
Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

A) 1:2 B) 1:3
C) 3:1 D) 1:9
 
Answer & Explanation Answer: A) 1:2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 1221
Q:

If w : 0.80 :: 9 : 6, w = ?

A) 2.5 B) 1.1
C) 3.3 D) 1.2
 
Answer & Explanation Answer: D) 1.2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 948