Practice Income and expenditure based ratio and proportion - quantitative aptitude Online Quiz (set-1) For All Competitive Exams
Q-1) The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs.400 per month, find the sum of their monthly incomes.
(a)
(b)
(c)
(d)
Income of A and B
= Rs.6x and 5x
Expenses of A and B
= Rs.4y and 3y
6x - 4y = 400 ...(i)
5x - 3y = 400 ...(ii)
By equation (i)× 3 - (ii) × 4
18x - 12y - 20x + 12y
= 1200 - 1600
2x = 400 ⇒ x = 200
Total income
= 6x + 5x = 11x = Rs.2200
Q-2) The ratio of the incomes of A and B as well as of B and C is 3 : 2. If one third of A’s income exceeds one fourth of C's income by Rs.1000, what is B’s income in ?
(a)
(b)
(c)
(d)
A : B = 3 : 2 = 9 : 6
B : C = 3 : 2 = 6 : 4
A : B : C = 9 : 6 : 4
${9x}/3 - {4x}/4$= 1000
3x - x = 1000
2x = 1000
x = 500
B’s income = 6x
= 6 × 500 = Rs.3000
Q-3) A man spends a part of his monthly income and saves the rest. The ratio of his expenditure to the savings is 61 : 6. If his monthly income is Rs.8710, the amount of his monthly savings is
(a)
(b)
(c)
(d)
Expenditure : Savings
= 61 : 6
Sum of the terms of ratio
= 61 + 6 = 67
Total monthly salary
= Rs.8710
Monthly savings
= Rs.$(6/67 × 8710)$ = Rs.780
Q-4) The ratio of incomes of A and B is 5 : 6. If A gets Rs.1,100 less than B, their total income (in rupees) is
(a)
(b)
(c)
(d)
Let the income of A be Rs.5x
and that of B be Rs.6x.
According to the question,
6x - 5x =1100
x = 1100
Total income
= 5x + 6x = Rs.11x
= Rs.(11×1100) = Rs.12100
Q-5) A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his saving is 26 : 3. If his monthly income is Rs.7250, what is the amount of his monthly savings ?
(a)
(b)
(c)
(d)
Let his expenditures be Rs.26x
and savings be Rs.3x.
26x + 3x = 7250
29x = 7250
$x = 7250/29$ =250
Savings = 3x = Rs.750
Q-6) The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio 8 : 5 : 2. If C spends Rs.2000 and B saves Rs.700, then A saves
(a)
(b)
(c)
(d)
Let the income of A and B be Rs.5x and Rs.3x respectively.
Let the expenses of A, B and C be Rs.8y, Rs.5y and Rs.2y respectively.
Then, 2y = 2000
$y =2000/2 = 1000$
B saves = Rs.700
3x - 5y = 700
3x - 5×1000 = 700
3x = 700 +5000 = 570
$x = 5700/3 = 1900$
A’s saving = Rs.(5x - 8y)
= Rs.(5×1900 - 8×1000)
= Rs.(9500 - 8000) = Rs.1500
Q-7) A person bought some rice and wheat for Rs.380. The ratio of weight of rice and wheat is 4 : 3 and the price of equal amount of rice and wheat is in the ratio 5 : 6. The rice was bought of worth
(a)
(b)
(c)
(d)
Rice : Wheat
= 4 × 5 : 3 × 6
= 20 : 18 = 10 : 9
Total cost of rice
= $10/19 × 380$ = Rs.200
Q-8) If the annual income of A, B and C are in the ratio 1 : 3 : 7 and the total annual income of A and C is Rs.8,00,000, then the monthly salary of B (in Rs.) is
(a)
(b)
(c)
(d)
Let Annual Income of A, B and C be x, 3x and 7x
x + 7x = 800000
8x = 800000
x = 100000
B’s monthly income
= ${100000 × 3}/12$ = Rs.25000
Q-9) Incomes of x and y are in the ratio 4:3. Their expenditures are in the ratio 12:7. Both save Rs.3200 at the end of the month, then the income of x is
(a)
(b)
(c)
(d)
x’s income = Rs.4a
y’s income = Rs.3a
x’s expenditure = Rs.12b
y’s expenditure = Rs.7b
4a - 12b = 3200
a - 3b = 800 ...(i)
Again, 3a - 7b = 3200 ...(ii)
By equation (i) × 7 - (ii) × 3,
| 7a | - | 21b | = | 5600 |
| 9a | - | 21b | = | 9600 |
| - | + | - | ||
| -2a | = | -4000 |
a = 2000
x’s income = 4a
= 4 × 2000 = Rs.8000
Q-10) The incomes of A and B are in the ratio 3 : 2 and their expenditures are in the ratio 5 : 3. If each saves Rs.1000, then A’s income is
(a)
(b)
(c)
(d)
Let incomes of A and B be Rs.3x and Rs.2x respectively.
Let the expenditures of A and B be Rs.5y and Rs.3y respectively.
According to the question,
3x - 5y = Rs. 1000 ... (i)
2x - 3y = Rs. 1000 ... (ii)
By equation (i) × 2 - (ii) × 3,
| 6x | - | 10y | = | 2000 |
| 6x | - | 9y | = | 3000 |
| - | + | - | ||
| -y | = | -1000 |
y = 1000
From equation (i),
3x - 5 × 1000 = 1000
3x = 1000 + 5000
= Rs.6000 = A’s income