model 11 ratio & partnership Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

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The following question based on profit & loss topic of quantitative aptitude

Questions : 7 kg of tea costing Rs.280 per kg is mixed with 9 kg of tea costing Rs.240 per kg. The average price per kg of the mixed tea is

(a) Rs.257.50

(b) Rs.255.80

(c) Rs.267.20

(d) Rs.267.50

The correct answers to the above question in:

Answer: (a)

Average price of blended tea

= ${280 × 7 + 240 × 9}/16 = {1960 + 2160}/16$

= $4120/16$ = Rs.257.50 kg

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Read more ratio partnership Based Quantitative Aptitude Questions and Answers

Question : 1

Rs.864 is divided among A, B and C such that 8 times A’s share is equal to 12 times B’s share and also equal to 6 times C’s share. How much did B get ?

a) Rs.192

b) Rs.399

c) Rs.288

d) Rs.72

Answer: (a)

8A = B × 12 = 6C

${8A}/24 = {12B}/24 = {6C}/24$

$A/3 = B/2 = C/4$

A : B : C = 3 : 2 : 4

B’s share = $2/{3 + 2 + 4}$ × 864

=$2/9 × 864$ = Rs.192

Question : 2

In what ratio must a grocer mix tea at Rs.60 a kg, and Rs.65 a kg, so that by selling the mixture at Rs.68.20 a kg, he may gain 10%?

a) 3 : 4

b) 3 : 2

c) 3 : 5

d) 4 : 5

Answer: (b)

S.P. of 1 kg mixture = Rs.68.20, Gain = 10%

C.P. of 1 kg mixture = Rs.$(68.20 × 100/110)$ = Rs.62

By the rule of alligation,

∴ Required ratio = 3 : 2

Question : 3

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is

a) 25 : 37

b) 99 : 125

c) 50 : 61

d) 45 : 56

Answer: (d)

Let the printed price of the book be x.

Selling price = 90% of x = $x × 90/100 = {9x}/10$

If the CP of the book be y, then

y × $112/100 = {9x}/10$

$y/x =9/10 × 100/112 = 45/56$ or 45 : 56

Question : 4

At the beginning of a partnership business, the capital of B was $3/2$ times that of A. After 8 months B withdrew $1/2$ of his capital and after 10 months A withdrew $1/4$ th of his capital. At the end of the year, if the profit incurred is Rs.53,000, find the amount received by A.

a) Rs.32,000

b) Rs.30,800

c) Rs.30,000

d) Rs.23,000

Answer: (d)

Initially, A’s capital = Rs.x

B’s capital = Rs.${3x}/2$

Ratio of the equivalent capitals of A and B for 1 month

= $(x × 10 + {3x}/4 × 2) : ({3x}/2 × 8 + {3x}/4 × 4)$

= $(10x + {3x}/2)$ : (12x + 3x) = 23 : 30

A’ share = $23/53$ × 53000 = Rs.23000

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