model 8 two article sold in different rates Section-Wise Topic Notes With Detailed Explanation And Example Questions

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

Questions : Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same, then the cost price of A and B may be

(a) Rs.3,000, Rs.5,000

(b) Rs.3,000, Rs.2,000

(c) Rs.5,000 Rs.2,000

(d) Rs.1,000, Rs.1,500

The correct answers to the above question in:

Answer: (b)

Check through option 10% of 3000

= ${3000 × 10}/100$ = Rs.300

15% of 2000

= ${2000 × 15}/100$ = Rs.300

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Read more 2 articles sold in diff rates Based Quantitative Aptitude Questions and Answers

Question : 1

A man sold two articles at Rs.375 each. On one, he gains 25% and on the other, he loses 25%. The gain or loss% on the whole transaction is

a) 6 1 4 %

b) 5%

c) 4 1 6 %

d) 6%

Answer: (a)

Using Rule 10,
If a man sells two similar objects, one at a loss of x% and another at a gain of x%, then he always incurrs loss in this transaction and loss% is $x^2/100%$

Here, both the articles are sold at the same price.

Hence, there is always loss.

Loss per cent= ${25 × 25}/100 = 25/4 = 6{1}/4$%

Question : 2

A person bought two articles A and B for Rs.5,000. He sold A at 20% profit and B at 10% loss. He thus gained 2% on his outlay. The cost price of A was

a) Rs.3,500

b) Rs.2,000

c) Rs.2,500

d) Rs.3,000

Answer: (b)

Let the CP of article A be Rs.x

CP of article B = Rs.(5000 - x)

According to the question,

120% of x + 90% of (5000 - x) = 102% of 5000

120x + 450000 - 90x = 510000

30x = 510000 - 450000 = 60000

x = $60000/30$ = Rs.2000

Question : 3

A shopkeeper purchased a TV for Rs.2,000 and a radio for Rs.750. He sells the TV at a profit of 20% and the radio at a loss of 5%. The total loss or gain is

a) Loss Rs.300

b) Loss Rs.332

c) Gain Rs.362.50

d) Gain Rs.352.50

Answer: (c)

S.P. of TV = $2000 × 120/100$ = Rs.2400

S.P. of radio = ${750 × 95}/100$ = Rs.712.5

Total S.P. = 2400 + 712.5 = Rs.3112.50

Gain = 3112.5 - 2000 - 750 = Rs.362.50

Question : 4

A television and a refrigerator were sold for Rs.12,000 each. If the television was sold at a loss of 20% of the cost and the refrigerator at a gain of 20% of the cost, the entire transaction resulted in

a) Loss of Rs.1,200

b) Gain of Rs.1,000

c) Loss of Rs.1,000

d) No loss or gain

Answer: (c)

CP of Television = ${12,000}/80 × 100$ = Rs.15000

CP of refrigerator = ${12,000}/120 × 100$ = Rs.10,000

Total C.P. = 15000 + 10,000 = Rs.25000

SP of both = Rs.24,000

∴ Loss = 25,000 - 24,000 = Rs.1000

Question : 5

A shopkeeper sells an article at 15% gain. Had he sold it for Rs.18 more, he would have gained 18%. The cost price (in Rs.) of the article is

a) 350

b) 600

c) 318

d) 540

Answer: (b)

C.P. of article be Rs.x

(118 - 115)% of x = 18

${x × 3}/100 =18 ⇒ x = {18 ×100}/3$ = Rs.600

Using Rule 11,
A man sells his items at a profit/loss of x%.
If he had sold it for Rs. R more,
he would have gained/lost y%.
Then. C.P. of items = $R/{(y ± x)}$ × 100
'+' = When one is profit and other is loss.
' - ' = When both are either profit or loss.

Here, x = 15%, R= 18, y = 18%

C.P. = ${R × 100}/{y - x}$

= ${18 ×100}/{18 -15}$ = Rs.600

Question : 6

A man bought two goats for Rs.1008. He sold one at a loss of 20% and other at a profit of 44%. If each goat was sold for the same price, the cost price of the goat which was sold at loss, was :

a) Rs.440

b) Rs.568

c) Rs.360

d) Rs.648

Answer: (d)

If x and y be the cost price of two goats, then,

80% of x = 144% of y

$x/y = 144/80 = 9/5$

i.e., x : y = 9 : 5

Sum of the ratios = 9 + 5 = 14

Cost of first goat = Rs.$(9/14 × 1008)$ = Rs.648

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