Ratio and Proportion For SBI PO : Set – 10

1) A certain amount to be distributed among A,B, and C in the ratio 2:3:4 respectively but was erroneously distributed in the ratio 7:2:5 respectively. As a result of this ,B got Rs. 40 less. What is the amount?

a) Rs.210

b) Rs.270

c) Rs.230

d) Rs.280

e) None of these

Click Here To View Answer

a)

Let the amount be X the distruibution For B is 3/9

The error amount calculated for B 2/14

By this we got Rs.40 Less

x/3-x/7=40

4x=40*210

x=210

2) A can contains a mixture of two liquids A and B is the ratio  7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

a) 10

b) 20

c) 21

d) 25

e) 22

c)

Click Here To View Answer

Quantity of A in mixture left = (7x-7/12*9)litres

= (7x-21/4) litres

Quantity of B in mixture left = (5x-5/12*9) litres

(5x-15/4) litres

252x-189=140x=147

112x=336 x=3

Can Contains 21 litres of A

3) Mr. Xavier invested a certain amount in Debit and Equity funds in the ratio of 4 : 5 respectively. At the end of one year, he earned a total dividend of 30% on his investment. After one year he reinvested the amount including dividend in the ratio of 6 : 7 in Debt and Equity Funds. If the amount reinvested in Equity Funds was Rs. 94,500/-, what was the original amount invested in Equity Funds?

a) Rs. 75,000/-

b) Rs. 81,000/-

c) Rs. 60,000/-

d) Rs. 65,000/-

e) None of these

Click Here To View Answer

a) Amount invested in Debit funds = 4.

Amount invested in equity funds = 5.

After 1 yr Mr. Xaviers total amount =4x*130/100 +5x*130/100 => 11.7,

Amount invested in equity funds = 11.7 x 7/13

11.7 x 7/13= 94500

= 15000

The original amount invested in equity funds = 5 x 15000

= Rs. 75000

4) The ratio of the monthly salaries of A and B is in the ratio  15 : 16 and that of B and C is in the ratio 17 : 18. Find the monthly income of C if the total of their monthly salary is Rs 1,87,450.

a) Rs 66,240

b) Rs 72,100

c) Rs 62,200

d) Rs 65,800

e) Rs 60,300

Click Here To View Answer

a)

A: B = 15: 16

B: C = 17: 18

A: C = 255: 288

A: B: C = 255: 272: 288

C = (288/815)*187450

= 66240

5) The income of A, B, and C are in the ratio 3 : 4 : 7. If their incomes be changed such that the new income of A is 50% increased, 25% increased for B and 25% decrease for C. Find the ratio of their new incomes. 

a) 18 : 40 : 23

b) 17 : 12 : 21

c) 18 : 20 : 21

d) 28 : 20 : 21

e) None of these

Click Here To View Answer

c)

A: B: C :: 3: 4: 7

New income ratio = 4.5: 5: 5.25

= 18: 20: 21

6) If Rs. 1540 be divided amongst A, B and C in such a way that the share of B is equal to of what A and C together receive. Then, B’s share will be:

a) Rs. 770  

b) Rs. 420  

c) Rs. 880   

d) Rs. 1210

e) None of these

Click Here To View Answer
a)

if a get 100 and c get 200 then b get 300.

So the ratio is 1:3:2

B’s share= 1540*3/6 = 770

7) The ages of A, B and C are in the ratio 3:7:9. If the difference between the ages of B and C is 8 years, what is the sum of the ages of all the three together?

a) 40

b) 48

c) 64

d) 76

e) None of these

Click Here To View Answer
d)

8) A sum of money is divided among A, B, C and D in the ratio 3:7:9:13 respectively. If the share of B is Rs. 4,872, then what is the total amount of money of A and C together?

a) Rs. 9,784  

b) Rs. 6,998 

c) Rs. 8,352  

d) Rs. 7, 456 

e) None of these

Click Here To View Answer
c)

9) Rs. 1870 are divided into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are equal. The third part is :

a) Rs. 510    

b) Rs. 680    

c) Rs. 850     

d) Rs. 1020   

e) none of these

Click Here To View Answer

d)

10) In a bag, there are three types of coins — 1-rupee, 50 paise and 25-paise in the ratio of 3 : 8 : 20. Their total value is Rs. 372. The total number of coins is

a) 1200

b) 961

c) 744

d) 612

e) None of these

Click Here To View Answer

b)