## Ratio and Proportion Solved Questions For IBPS, SBI and Other Bank Exams - Page 4

You will find 14 problems in 4 pages..

Ratio And Proportion Solved Questions (Page 4 of 4)

Question 1

The salary of two friends Ramu and Raju are in the ratio 4:5. If the salary of each one increases by Rs.6000, then the new ratio becomes 48:55. What is Raju's present salary?

a) Rs.10500 b) Rs.10500 c) Rs.11500 d) Rs.12500

Solution :

Ratio their salary is 4:5
Let the original salary of Ramu and Raju be 4k and 5k respectively.

After increasing Rs.6000, the ratio becomes 48:55

That is,

(4k+6000)/(5k+6000) = 48/55
55(4k+6000) = 48(5k+6000)
220k+330000 = 240k+288000
20k= 42000

We have to find the original salary of Raju; that is, 5k.

If 20k = 42000 then 5k = 10500.

Hence the required answer is Rs.10500

Question 2

The number of candidates writing three different entrance exams is in the ratio 4:5:6. There is a proposal to increase these numbers of candidates by 40%, 60% and 85% respectively. What will be the ratio of increased numbers?

a) 14:15:16 b) 12:15:19 c)13:19:21 d) none of these

Answer : d) none of these

Solution :

Given ratio of number of candidates is 4:5:6

Let the number of candidates for 3 exams be 4k, 5k and 6k respectively.

After increasing, number of candidates become (140% of 4k), (160% of 5k) & (185% of 6k)
That is, (140x4k)/100, (160x5k)/100 and (185x6k)/100
= 56k/10, 80k/10 and 111k/10

Now, the required new ratio is: 56k/100 : 80k/10 : 111k/10
= 56 : 80 : 111

Hence the answer is option d.

Question 3

The ratio of salary of two persons X and Y is 5:8. If the salary of X increases by 60% and that of Y decreases by 35% then the new ratio of their salaries become 40:27. What is X's salary?

a) Rs.15000 b) Rs.12000 c) Rs.19500 d) data inadequate.

Solution :

Ratio of salary of X and Y is 5:8

Let the original salary of X and Y be Rs.5k and Rs.8k respectively.

After increasing 60%, new salary of X = 160% of 5k = 160x5k/100 = 80k/10 ...(1)
After decreasing 35%, new salary of Y = (100-35)% of 8k = 65% of 8k = 52k/10 ...(2)

Given that, new ratio is 40:27
That is, 80k/10 : 52k/10 = 40/27
This does not give the value of k; so that we cannot find X's exact salary.