# Exercise : 4

(b) 24

(c) 18

(d) Data inadequate

(e) None of the above

**Ans.a**

^{a}⁄_{b} = ^{5}⁄_{4}, b = ^{4}⁄_{5}a Given (40% of a) = ^{2}⁄_{5}a = 12

a = 5 × 6 and b = ^{4}⁄_{5} × 5 × 6 = 24

∴ 50% of b = ^{24}⁄_{2} = 12

(b) 5,000

(c) 8,000

(d) Data inadequate

(e) None of these

**Ans.d**

P : Q : R = 5 : 8 : 12

\(\frac{Total \; share \; of \; Q \; and \; R}{Share \; of \; P} = \frac{8 + 12}{5} = \frac{20}{5} = 4\)So, we see that no new information has been given in the question and P’s share can’t be determined.

(b) 4 : 3

(c) 3 : 2

(d) Data inadequate

(e) None of these

**Ans.b**

Let the first and the second numbers be x and y respect then

y + 30% of x = 140% of y

or, y + 0.3x = 1.4y

or, 0.3x = 0.4y

∴ x : y = 0.4 : 0.3 = 4 : 3

(b) 3 : 2

(c) 1 : 3

(d) Data inadequate

(e) None of these

**Ans.a**

Let the first and second number be x and y respectively.

x - y × ^{25}⁄_{100} = y × ^{5}⁄_{6}

or, y - ^{x}⁄_{4} = ^{5}⁄_{6}y

or, ^{1}⁄_{6}y = ^{x}⁄_{4}y

\ x : y = 2 : 3

(b) 1,05,000

(c) 1,75,000

(d) Data inadequate

(e) None of these

**Ans.b**

Ratio for amount invested by P, Q & R

= 5x × 12 : 6x × 12 : 6x × 6

= 60x : 72x : 36x

= 5x : 6x : 3x

Profit = 98000 = 20% of T

where, T = Total amount

T = 490000

Amount received by

R = \(\frac{3x}{3x + 6x + 5x}\left ( 490000 \right )\)

= 105000

(b) 30 years

(c) 31 years

(d) Cannot be determined

(e) None of these

**Ans.e**

Y : G = 6 : 7; One year before

Y : G = 7 : 8; After 4 years

Now, 1 → 5

∴ 7 → 35

Therefore, the age of Gamini now is 35 + 1 = 36 years

(b) 28 years

(c) 32 years

(d) Data inadequate

(e) None of these

**Ans.b**

^{P}⁄_{Q} = ^{7}⁄_{3} ⇒ Q = ^{3}⁄_{7}P.....(i)

also,2Q + 8 = P + 4

or, 2Q – P = – 4...(ii)

Combining equations (i) and (ii), we get

P = 28 years

(b) 5 : 7

(c) 5 : 8

(d) Data inadequate

(e) None of these

**Ans.e**

40^{x}⁄_{100} + y = ^{125x}⁄_{100} ⇒ ^{x}⁄_{y} = ^{20}⁄_{17}

(b) 2,700

(c) 3,600

(d) Data inadequate

(e) None of these

**Ans.d**

Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determined.

(b) 18.20

(c) 15.60

(d) 14.80

(e) 15.40

**Ans.a**

CP = 30 × 11.50 + 20 × 14.25 = 630

SP = 630 × ^{130}⁄_{100} × ^{1}⁄_{50} ≈ 16.30