SSC CGL Tier1 Quantitative Aptitude Partnership Test 2

2728.A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and As share is Rs. 855, the total profit is:

Rs. 1425

Rs. 1500

Rs. 1537.50

Rs. 1576

Explanation:

Let the total profit be Rs. 100.

After paying to charity, As share = Rs.$ \left(95\times\dfrac{3}{5} \right) $= Rs. 57.

If As share is Rs. 57, total profit = Rs. 100.

If As share Rs. 855, total profit =$ \left(\dfrac{100}{57} \times 855\right) $= 1500.

2729.A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:

Rs. 8400

Rs. 11,900

Rs. 13,600

Rs. 14,700

Explanation:

Let C = $ x $.

Then, B = $ x $ + 5000 and A = $ x $ + 5000 + 4000 = $ x $ + 9000.

So, $ x $ + $ x $ + 5000 + $ x $ + 9000 = 50000

$\Rightarrow$ 3$ x $ = 36000

$\Rightarrow x $ = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

$\therefore$ As share = Rs.$ \left(35000 \times\dfrac{21}{50} \right) $= Rs. 14,700.

2730.If 4 [Ps Capital] = 6[Qs Capital] = 10[Rs Capital], then out of the total profit of Rs 4650, R will receive

600

700

800

900

Explanation:

Let Ps capital be $p$,

Qs capital be $q$,

and Rs capital be $r$

Then

$4p=6q=10r\\2p=3q=5r \cdots(A)$

From (A),

$q=\dfrac{2p}{3}~~\cdots(1)\\r=\dfrac{2p}{5}~~\cdots(2)$

$p:q:r=p:\dfrac{2p}{3}:\dfrac{2p}{5}$

$=15:10:6$

Rs share $=4650×\dfrac{6}{31}=150×6=900$

2731.A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

3 : 5 : 2

3 : 5 : 5

6 : 10 : 5

Data inadequate

Explanation:

Let the initial investments of A and B be 3$ x $ and 5$ x $.

A : B : C = $\left(3 x \times 12\right)$ :$\left (5 x \times 12\right)$ : $\left(5 x \times 6\right)$ = 36 : 60 : 30 = 6 : 10 : 5.

2732.Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?

Rs. 890

Rs. 1335

Rs. 1602

Rs. 1780

Explanation:

Arun : Kamal : Vinay = $ \left(8,000 \times 6\right)$ : $ \left(4,000 \times 8\right) $: $ \left(8,000 \times 8\right)$

= 48 : 32 : 64

= 3 : 2 : 4.

$\therefore$ Kamals share = Rs.$ \left(4005 \times\dfrac{2}{9} \right) $= Rs. 890.

2734.X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?

1:2

2:1

1:3

3:1

Explanation:

Ratio in which they should share the profit

= Ratio of the investments multiplied by the time period

$=45000×12:30000×9$

$=45×12:30×9$

$=3×12:2×9$

$=2:1$

2736.Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

5 : 7 : 8

20 : 49 : 64

38 : 28 : 21

None of these

Explanation:

Let their investments be Rs. $ x $ for 14 months, Rs. $ y $ for 8 months and Rs. $ z $ for 7 months respectively.

Then, 14$ x $ : 8$ y $ : 7$ z $ = 5 : 7 : 8.

Now,$ \dfrac{14x}{8y} $=$ \dfrac{5}{7} $ $\Leftrightarrow $ 98$ x $ = 40$ y $ $\Leftrightarrow$ $ y $ =$ \dfrac{49}{20} x $

And,$ \dfrac{14x}{7z} $=$ \dfrac{5}{8} $ $\Leftrightarrow$ 112$ x $ = 35$ z $ $\Leftrightarrow$ $ z $ =$ \dfrac{112}{35} x $ =$ \dfrac{16}{5} x $.

$\therefore x $ : $ y $ : $ z $ = $ x $ :$ \dfrac{49}{20} x $:$ \dfrac{16}{5} x $= 20 : 49 : 64.

2739.X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

Rs.14400

Rs.26400

Rs.12000

Rs.12500

Explanation:

Ratio of the investment

$=21000:17500=210:175$ $=42:35=6:5$

Share of X in the profit

$=26400×\dfrac{6}{11}=2400×6=14400$

2740.A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew $ \dfrac{1}{4} $ of his capital and B withdrew $ \dfrac{1}{5} $ of his capital. The gain at the end of 10 months was Rs. 760. As share in this profit is:

Rs. 330

Rs. 360

Rs. 380

Rs. 430

Explanation:

A : B =$ \left(4x \times 3 +\left(4x -\dfrac{1}{4} \times 4x\right)\times 7\right) $:$ \left(5x \times 3 +\left(5x -\dfrac{1}{5} \times 5x\right)\times 7\right) $

= $\left(12x+ 21 x \right)$ : $\left(15 x + 28 x \right)$

= 33$ x $ :43$ x $

= 33 : 43.

$\therefore$ As share = Rs.$ \left(760 \times\dfrac{33}{76} \right) $= Rs. 330.

2752.A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

Rs. 45

Rs. 50

Rs. 55

Rs. 60

Explanation:

A : B : C = $\left(10 \times 7\right)$ :$\left (12 \times 5\right)$ : $\left(15 \times 3\right)$ = 70 : 60 : 45 = 14 : 12 : 9.

$\therefore$ Cs rent = Rs.$ \left(175 \times\dfrac{9}{35} \right) $= Rs. 45.

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SSC CGL Tier1 Quantitative Aptitude Partnership Test 2

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