Ratio and Proportion problems
- 1. Lokesh starts a business with Rs 240000. After 3 months Vishal joins him with Rs 210000. At the end of the year what will be the ratio of their profit?
Options- A. 32 : 21
- B. 16 : 13
- C. 8 : 5
- D. 45 : 39 Also asked in: Bank Exams, GATE, Bank Clerk, Bank PO
Correct Answer: 32 : 21
- 2. In the following question, select the related number from the given alternatives. 8 : 27 : : 64 : ?
Options- A. 190
- B. 144
- C. 125
- D. 72 Discuss
Correct Answer: 125
- 3. A company reduces his employee in the ratio 14 : 12 andincreases their wages in the ratio 16:18. Determine whetherthe bill of wages increases or not and in what ratio
Options- A. Decreases, 28: 27
- B. Increases, 27:28
- C. Decreases, 29:28
- D. Increases, 28:29 Discuss
Correct Answer: Decreases, 28: 27
Explanation:
Let the initial employee be 14a and final employee be 12a
similarly initial wage is 16b and final wage be 18b
Total initial wage = 14a × 16b = 224ab,
total final wage= 12a × 18b = 216ab
So clearly wages decreases and ratio = 224ab: 216ab= 28 : 27
- 4. There are saplings of 361 mangoes tree and neem tree in a garden. The ratio of the number of mango tree to that of neem tree saplings are in the garden?
Options- A. 209
- B. 171
- C. 57
- D. 152 Discuss
Correct Answer: 209
- 5. The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C?s income is Rs 4000 more than the half of E?s income, then what is the D?s income (in Rs)?
Options- A. 40000
- B. 43000
- C. 50000
- D. 60000 Also asked in: Bank Exams
Correct Answer: 40000
- 6. A, B and C start a business and the ratio of their investment is 8 : 5 : 3. If at the end the ratio of their profits is 4 : 15 : 6, then what is the ratio of time period of their investment?
Options- A. 1 : 6 : 5
- B. 2 : 3 : 4
- C. 1 : 6 : 4
- D. 2 : 6 : 3 Also asked in: Bank Exams
Correct Answer: 1 : 6 : 4
- 7. The cash difference between the selling price of an article at a profit of 4% and 6% is Rs. 3. The ratio of two selling prices is:
Options- A. 51:53
- B. 55:53
- C. 52:53
- D. 54:53 Also asked in: Bank Exams
Correct Answer: 52:53
- 8. In ?PQR , straight line parallel to the base QR cuts PQ at X and PR at Y. If PX:XQ = 5:6, then the XY:QR will be
Options- A. 5:11
- B. 6:5
- C. 11:6
- D. 11:5 Also asked in: Bank Exams, Bank Clerk
Correct Answer: 5:11
- 9. Monthly salaries of Pia and Som are in the respective ratio of 5: 4. Pia, from her monthly salary, gives th to her mother. 15% towards her sister?s tuition fees, 18% towards a loan and she shops with the remaining amount which was Rs. 2,100. What is the monthly salary of Som ?
Options- A. Rs.25,000
- B. Rs.30,000
- C. Rs.15,000
- D. Rs.20,000 Discuss
Correct Answer:
Explanation:
Let monthly salary of Pia = Rs.500x => Monthly salary of Som = Rs.400x Amount given by Pia to her mother = 3/5 * 500x = 300x Amount for her sister tuition fees = 15*500x/100 = 75x Amount for loan = 18*500x/100 = 90x => Amount left = 500x ?(300x +75x +90x) = 2100 => 500x - 465x = 35x = 2100 => x = 2100/35 = 60 Therefore, Som's salary = 400 x 60 = Rs. 24,000
- 10. Each question contains Quantity I and Quantity II. Read the contents carefully and answer your questions accordingly. Quantity I: there are three numbers in the ratio 5:6:10. The sum of the largest and the smallest numbers is 126 more than the other number. Find the largest number? Quantity II: 12% of first number is equal to 25 % second number. The difference of these two numbers is 78. Then find the largest number?
Options- A. Quantity I > Quantity I
- B. Quantity I ? Quantity II
- C. Quantity I < Quantity II
- D. Quantity I < Quantity II Discuss
Correct Answer: Quantity I < Quantity II
Explanation:
Quantity I= Let the three numbers will be 5x, 6x and 10x respectively
ATQ
10x+5x?6x=126
9x=126 X=14
So largest number =10x=10×14=140
Quantity II=let x and y are two numbers
ATQ
12% of x=25%of y And their difference is 78
So first no.=150 2nd no.=72
Hence Quantity I < Quantity II
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