In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If th

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Question
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
Options
A. 50
B. 100
C. 150
D. 200

Correct Answer

150

Explanation

Let the number of 25 p, 10 p and 5 p coins be x, 2x, 3x respectively.

Then, sum of their values = Rs.	❨	25x	+	10 x 2x	+	5 x 3x	❩	= Rs.	60x
		100		100		100			100

∴	60x	= 30	⟺ x =	30 x 100	= 50.
	100			60

Hence, the number of 5 p coins = (3 x 50) = 150.

Ratio and Proportion problems

Search Results

1. A and B together have Rs. 1210. If 4⁄15 of A's amount is equal to ⅖ of B's amount, how much amount does B have?
Options
A. Rs. 460
B. Rs. 484
C. Rs. 550
D. Rs. 664

2. If Rs. 782 be divided into three parts, proportional to ½ : ⅔ : ¾, then the first part is:
Options
A. Rs. 182
B. Rs. 190
C. Rs. 196
D. Rs. 204

3. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
Options
A. Rs. 17,000
B. Rs. 20,000
C. Rs. 25,500
D. Rs. 38,000

4. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Options
A. 2 : 5
B. 3 : 7
C. 5 : 3
D. 7 : 3

5. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Options
A. 8 : 9
B. 17 : 18
C. 21 : 22
D. Cannot be determined

6. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Options
A. 2 : 3 : 4
B. 6 : 7 : 8
C. 6 : 8 : 9
D. None of these

7. A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Options
A. Rs. 500
B. Rs. 1500
C. Rs. 2000
D. None of these

8. The fourth proportional to 5, 8, 15 is:
Options
A. 18
B. 24
C. 19
D. 20

9. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Options
A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 6 : 7

10. The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Options
A. 3 : 3 : 10
B. 10 : 11 : 20
C. 23 : 33 : 60
D. Cannot be determined

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