Practice Shares and partnership based ratio and proportion - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) 555 was to be divided among A, B and C in the ratio of 1 4 : 1 5 : 1 6 . But by mistake it was divided in the ratio of 4 : 5 : 6. The amount in excess received by C was
(a)
(b)
(c)
(d)
Case I
A : B : C = $1/4 : 1/5 : 1/6$
= $1/4 × 60 : 1/5 × 60 : 1/6$ × 60
[LCM of 4, 5 and 6 = 60]
= 15 : 12 : 10
Sum of ratios = 15 + 12 + 10 = 37
C’s share
= $10/37$ × 555 = Rs.150
Case II
A : B : C = 4 : 5 : 6
Sum of ratios = 4 + 5 + 6 = 15
C’s share
= $6/15$ × 555 = Rs.222
Required answer
= Rs.(222 - 150) = Rs.72
Q-2) 180 are to be divided among 66 persons (men and women). The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of the money received by each man and woman is 3 : 2. The number of men is
(a)
(b)
(c)
(d)
Suppose amount received by men = 5x.
and amount received by women = 4x
According to question
5x + 4x = 180
9x = 180 ⇒ x = 20
Amount received by men = Rs.100
Amount received by women= Rs.80
Suppose the number of men be y and that of women be (66 - y).
According to question
${100/y}/{80/{66 - y}} = 3/2$
$100/y × {66 - y}/80 = 3/2$
${5(66 - y)}/{4y} = 3/2$
660 - 10y = 12y
22y = 660 ⇒ y = 30
Q-3) 1740 is divided among A, B, and C such that 0.5 of A = 0.6 of B = 0.75 of C. Then C will get
(a)
(b)
(c)
(d)
A × 0.5 = B × 0.6 = C × 0.75
${A ×5}/10 = {B × 6}/10 = {C × 75}/100$
$A/2 = B/{5/3} = C/{4/3}$
A : B : C = $2 : 5/3 : 4/3$
= 6 : 5 : 4
C’s share
= $4/15 ×1740$ = Rs.464
Q-4) A sum of 370 is to be divided among A, B and C such that A’s Share B’s Share = B’s Share C’s Share = 3 4 , A’s share (in rupees) is
(a)
(b)
(c)
(d)
| A : B = | 3 | : | 4 | ||
| B : C = | 3 | : | 4 |
A : B : C = 9 : 12 : 16
A’s share
= $9/{9 + 12 + 16}$ × Rs.370 = Rs.90
Q-5) 738 is divided among A, B, C so that their shares are in the ratio of 2 : 3 : 4. B’s share is
(a)
(b)
(c)
(d)
B's share
= $3/(2 + 3 + 4) × 738$
= $3/9 × 738$ = Rs.246
Q-6) A sum of 1240 is distributed among A, B and C such that the ratio of amount received by A and B is 6 : 5 and that of B and C is 10 : 9 respectively. Find the share of C.
(a)
(b)
(c)
(d)
A : B = 6 : 5, B : C = 10 : 9
| A : B : C = 6 : 5 |
| 10 : 9 |
| 60 : 50 : 45= 12 : 10 : 9 |
(12 + 10 + 9) units ⇒ 1240
9 units = $1240/31 × 9$ = Rs.360
Q-7) A sum of 9000 is to be distributed among A, B and C in the ratio 4 : 5 : 6. What will be the difference between A’s and C’s shares?
(a)
(b)
(c)
(d)
A’s share = $9000 × 4/15$
= 600 × 4 = Rs.2400
C’s share = $9000 × 6/15$
= 600 × 6 = Rs.3600
Difference = 3600 - 2400 = Rs.1200
Q-8) 750 are divided among A, B and C in such a manner that A : B is 5 : 2 and B : C is 7 : 13. What is A’s share ?
(a)
(b)
(c)
(d)
| A : B | = | 5 : 2 |
| B : C | = | 7 : 13 |
A : B : C = 5 × 7 : 7 × 2 : 2 × 13
= 35 : 14 : 26
Sum of the ratios
= 35 + 14 + 26 = 75
A's share
= Rs.$35/75 × 750$ = Rs.350
Q-9) 2010 are to be divided among A, B and C in such a way that if A gets 5 then B must get Rs. 12 and if B gets 4 then C must get 5.50. The share of C will exceed that of B by
(a)
(b)
(c)
(d)
According to the question,
A : B = 5 : 12 = 10 : 24
B : C = 4 : 5.50 = 24 : 33
A : B : C = 10 : 24 : 33
Sum of the ratios
= 10 + 24 + 33 = 67
Difference between the shares of C and B
= Rs.$({33 - 24}/67 × 2010)$
= Rs.$(9/67 × 2010)$ = Rs.270
Q-10) 600 are divided among A, B and C so that 40 more than 2 5 of A’s share, 20 more than 2 7 of B’s share and 10 more than 9 17 of C’s share are all equal. A’s share is
(a)
(b)
(c)
(d)
$2/5A + 40 = 2/7B + 20$
= $9/17 C + 10 = x$
A = $5/2(x - 40)$, B = $7/2(x - 20)$
and, C = $17/9(x -10)$
$5/2(x - 40) + 7/2(x - 20) + 17/9(x -10)$ = 600
x = 100
A’s share
= Rs.$5/2$(100 - 40) = Rs.150