model 9 selling an article & interchanging its values 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 : To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is

(a) 2.5 Kg.

(b) 7.5 Kg.

(c) 10 Kg.

(d) 5 Kg.

The correct answers to the above question in:

Answer: (d)

Let the quantity of water mixed be x kg.

Let the CP of 1 kg of pure milk = Rs.1

Gain percent=$x/50 × 100$

2x = 10 ⇒ x = 5 kg.

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Read more selling article changing values Based Quantitative Aptitude Questions and Answers

Question : 1

A man sells a car to his friend at 10% loss. If the friend sells it for Rs.54,000 and gains 20%, the original cost price of the car was

a) Rs.25,000

b) Rs.45,000

c) Rs.50,000

d) Rs.35,000

Answer: (c)

If the initial C.P. of car be Rs. x, then

First S.P. = ${9x}/10$

${9x}/10 × 120/100$ = 54000

x = ${54000 × 1000}/{9 × 120}$ = Rs.50000

Question : 2

Sourav purchased 30 kg of rice at the rate of Rs.10 per kg and 35 kg at the rate of Rs.11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction ?

a) 12.5

b) 13.7

c) 14.25

d) 13

Answer: (b)

Total cost of rice

= Rs.(3 × 10 + 35 × 11)

= Rs.(300 + 385) = Rs.685

Required S.P. = Rs. $({685 × 130}/100)$

Rate per kg = ${685 × 130}/{65 × 100}$ = Rs.13.7

Question : 3

By selling an article for Rs.69, there is a loss of 8%, when the article is sold for Rs.78, the gain or loss per cent is :

a) neither loss nor gain

b) 4% loss

c) 40% gain

d) 4% gain

Answer: (d)

SP of article = Rs.69

Loss % = 8%

CP = Rs.${100 × 69}/92$ = Rs.75

New SP = Rs.78

Gain % = ${78 - 75}/75$ × 100 = 4%

Using Rule 3,

C.P. = S.P. × $100/{100 - Loss%}$

= ${69 × 100}/{100 - 8}$

= $6900/92$ = Rs. 75

New S.P.= C.P.$({100 + Profit%}/100)$

78 = 75 × $({100 + Profit%}/100)$

7800 = 7500 + 75 Profit%

${7800 - 7500}/75$ = Profit %

$300/75$ = Profit%

Profit% = 4%

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GET profit & loss PRACTICE TEST EXERCISES

Model 1 Basic Concepts of C.P and S.P

model 2 gain lost percentage

model 3 gain/loss % with C.P/S.P

model 4 sold & brought

model 5 marked price

model 6 sold in circular path

model 7 sold at loss

model 8 two article sold in different rates

model 9 selling an article & interchanging its values

model 10 reduced/increased price of an article

model 11 ratio & partnership
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