Shares MCQ Quiz - Objective Question with Answer for Shares - Download Free PDF

Given:

Amount distributed = x

A gets 25% of x = (25/100) × x = x/4

Twice the difference of B and C = Share of A

2(B - C) = A

Calculations:

A = x/4

2(B - C) = A

⇒ 2(B - C) = x/4

⇒ B = C + x/8

Total amount distributed:

⇒ A + B + C = x

⇒ x/4 + (C + x/8) + C = x

⇒ x/4 + x/8 + 2C = x

⇒ 3x/8 + 2C = x

⇒ 2C = x - 3x/8

⇒ C = (5x/16)

Now, B = C + x/8

⇒ B = (5x/16) + (2x/16) = 7x/16

A = x/4 = 4x/16

Now, ratio A : B : C = (4x/16) : (7x/16) : (5x/16)

⇒ 4 : 7 : 5

∴ The correct answer is option (2).

Given:

Total amount = ₹1040

Number of men = 2

Number of women = 6

Number of boys = 8

Ratio of shares of a man, a woman, and a boy = 3:2:1

Formula used:

Total ratio = (Number of men × share of a man) + (Number of women × share of a woman) + (Number of boys × share of a boy)

Individual share = \(\dfrac{\text{Total amount} \times \text{Individual ratio}}{\text{Total ratio}}\)

Calculations:

Total ratio = (2 × 3) + (6 × 2) + (8 × 1)

⇒ Total ratio = 6 + 12 + 8

⇒ Total ratio = 26

Share of a man = \(\dfrac{\text{Total amount} \times \text{Individual ratio of man}}{\text{Total ratio}}\)

⇒ Share of a man = \(\dfrac{1040 \times 3}{26}\)

⇒ Share of a man = ₹120

∴ The correct answer is option (4).

Given:

Total amount = ₹1144

Number of men = 2

Number of women = 6

Number of boys = 8

Ratio of share (man : woman : boy) = 3 : 2 : 1

Formula used:

Share of a man = Total amount × (man's ratio / Total ratio)

Calculation:

Total ratio = (3 × 2) + (2 × 6) + (1 × 8) = 6 + 12 + 8 = 26

⇒ Share of a man = ₹1144 × (3 / 26)

⇒ Share of a man = ₹132

∴ The correct answer is option (1).

Given:

Ratio of shares of A : B : C : D = 4 : 7 : 9 : 3

C's share = 720 × D's share

Formula Used:

If the ratio of shares is a : b : c : d, and the shares are Ax, Bx, Cx, Dx respectively, where x is a common multiplier.

Calculation:

Let the common multiplier for the ratio be x.

A's share = 4x, B's share = 7x, C's share = 9x, D's share = 3x

C's share = 720 + D's share

\(\Rightarrow\) 9x = 720 + 3x

\(\Rightarrow\) 9x - 3x = 720

\(\Rightarrow\) 6x = 720

\(\Rightarrow\) x = 720 / 6

\(\Rightarrow\) x = 120

D's share = 3x = 3 × 120 = 360

D's share is ₹360.

Given:

₹1222 is divided among 2X, 6Y, and 8Z so that the shares of X, Y, and Z are in the ratio 3:2:1.

Calculation:

Let their shares be in the ratio 3K, 2K and K

2X : 6Y : 8Z

×      ×      ×

3K : 2k : K

__________

6K : 12K : 8K 

⇒ 6K + 12K + 8K = 26K

⇒ 26K = 1222

⇒ K = 1222/26 = 47

⇒ So, X's share =  (3 × 47) = 141

∴ The correct answer is option (2).

Given:

A, B, C, and D share a property worth Rs. 93,100.

A ∶ B = 1 ∶ 2, B ∶ C = 3 ∶ 4 and C ∶ D = 5 ∶ 6.

Calculation:

A ∶ B = 1 ∶ 2 = 3 : 6

B ∶ C = 3 ∶ 4 = 6 : 8

C ∶ D = 5 ∶ 6 = 5 × 8/5 ∶ 6 × 8/5 = 8 : 9.6

So, A : B : C

⇒ 3 : 6 : 8 : 9.6

⇒ 30 : 60 : 80 : 96

Now, the share of C = \(93100 × \frac {80}{30 + 60 + 80 + 96}\) = Rs. 28000

∴ C's share is Rs. 28000.

Given:

A sum of money is distributed among four people A, B, C, and D in the ratio 4 : 7 : 9 : 3.

B gets Rs. 600 more than A.

Calculation:

Let the shares of A, B, C, and D be 4x, 7x, 9x, and 3x respectively.

According to the problem, B - A = 600

B - A = 600

7x - 4x = 600

⇒ 3x = 600

⇒ x = 600 / 3

⇒ x = 200

Now, the shares of C and D will be:

C = 9x = 9 × 200 = 1800

D = 3x = 3 × 200 = 600

Difference between C and D:

⇒ 1800 - 600 = 1200

The correct answer is option 2: Rs. 1200

Given:

Total amount = ₹1144

Number of men = 2

Number of women = 6

Number of boys = 8

Ratio of share (man : woman : boy) = 3 : 2 : 1

Formula used:

Share of a man = Total amount × (man's ratio / Total ratio)

Calculation:

Total ratio = (3 × 2) + (2 × 6) + (1 × 8) = 6 + 12 + 8 = 26

⇒ Share of a man = ₹1144 × (3 / 26)

⇒ Share of a man = ₹132

∴ The correct answer is option (1).

Given:

Ratio of shares of A : B : C : D = 4 : 7 : 9 : 3

C's share = 720 × D's share

Formula Used:

If the ratio of shares is a : b : c : d, and the shares are Ax, Bx, Cx, Dx respectively, where x is a common multiplier.

Calculation:

Let the common multiplier for the ratio be x.

A's share = 4x, B's share = 7x, C's share = 9x, D's share = 3x

C's share = 720 + D's share

\(\Rightarrow\) 9x = 720 + 3x

\(\Rightarrow\) 9x - 3x = 720

\(\Rightarrow\) 6x = 720

\(\Rightarrow\) x = 720 / 6

\(\Rightarrow\) x = 120

D's share = 3x = 3 × 120 = 360

D's share is ₹360.

Given:

₹1222 is divided among 2X, 6Y, and 8Z so that the shares of X, Y, and Z are in the ratio 3:2:1.

Calculation:

Let their shares be in the ratio 3K, 2K and K

2X : 6Y : 8Z

×      ×      ×

3K : 2k : K

__________

6K : 12K : 8K 

⇒ 6K + 12K + 8K = 26K

⇒ 26K = 1222

⇒ K = 1222/26 = 47

⇒ So, X's share =  (3 × 47) = 141

∴ The correct answer is option (2).

Given:

A's share (A) = ₹1,500

Ratio of shares (A : B : C) = 5 : 7 : 15

Formula used:

Total amount (T) = A's share × (Total ratio / A's ratio)

Calculation:

Total ratio = 5 + 7 + 15 = 27

⇒ T = 1,500 × (27 / 5)

⇒ T = 300 × 27

⇒ T = 8,100

∴ The correct answer is option (3).

Given:

The sum of money is distributed among four members A, B, C, and D in the ratio 4:7:9:3.

C gets Rs. 720 more than D.

Formula Used:

Let the shares of A, B, C, and D be 4x, 7x, 9x, and 3x respectively.

Calculation:

Given C gets Rs. 720 more than D,

So, 9x - 3x = 720

⇒ 6x = 720

⇒ x = 720 / 6

⇒ x = 120

C's share = 9x = 9 × 120 = 1080

B's share = 7x = 7 × 120 = 840

Difference between C's and B's share = 1080 - 840 = 240

The difference between C's and B's share is Rs. 240.

Given:

Amount distributed = x

A gets 25% of x = (25/100) × x = x/4

Twice the difference of B and C = Share of A

2(B - C) = A

Calculations:

A = x/4

2(B - C) = A

⇒ 2(B - C) = x/4

⇒ B = C + x/8

Total amount distributed:

⇒ A + B + C = x

⇒ x/4 + (C + x/8) + C = x

⇒ x/4 + x/8 + 2C = x

⇒ 3x/8 + 2C = x

⇒ 2C = x - 3x/8

⇒ C = (5x/16)

Now, B = C + x/8

⇒ B = (5x/16) + (2x/16) = 7x/16

A = x/4 = 4x/16

Now, ratio A : B : C = (4x/16) : (7x/16) : (5x/16)

⇒ 4 : 7 : 5

∴ The correct answer is option (2).

Given:

Total amount = ₹1040

Number of men = 2

Number of women = 6

Number of boys = 8

Ratio of shares of a man, a woman, and a boy = 3:2:1

Formula used:

Total ratio = (Number of men × share of a man) + (Number of women × share of a woman) + (Number of boys × share of a boy)

Individual share = \(\dfrac{\text{Total amount} \times \text{Individual ratio}}{\text{Total ratio}}\)

Calculations:

Total ratio = (2 × 3) + (6 × 2) + (8 × 1)

⇒ Total ratio = 6 + 12 + 8

⇒ Total ratio = 26

Share of a man = \(\dfrac{\text{Total amount} \times \text{Individual ratio of man}}{\text{Total ratio}}\)

⇒ Share of a man = \(\dfrac{1040 \times 3}{26}\)

⇒ Share of a man = ₹120

∴ The correct answer is option (4).

Given:

A, B, C, and D share a property worth Rs. 93,100.

A ∶ B = 1 ∶ 2, B ∶ C = 3 ∶ 4 and C ∶ D = 5 ∶ 6.

Calculation:

A ∶ B = 1 ∶ 2 = 3 : 6

B ∶ C = 3 ∶ 4 = 6 : 8

C ∶ D = 5 ∶ 6 = 5 × 8/5 ∶ 6 × 8/5 = 8 : 9.6

So, A : B : C

⇒ 3 : 6 : 8 : 9.6

⇒ 30 : 60 : 80 : 96

Now, the share of C = \(93100 × \frac {80}{30 + 60 + 80 + 96}\) = Rs. 28000

∴ C's share is Rs. 28000.