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 : 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

The correct answers to the above question in:

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

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

Question : 1

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

Answer: (b)

Check through option 10% of 3000

= ${3000 × 10}/100$ = Rs.300

15% of 2000

= ${2000 × 15}/100$ = Rs.300

Question : 2

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 : 3

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 : 4

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 : 5

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

Question : 6

When the price of cloth was reduced by 25%, the quantity of cloth sold increased by 20%. What was the effect on gross receipt of the shop?

a) 10% decrease

b) 10% increase

c) 5% decrease

d) 5% increase

Answer: (a)

Using Rule 7,
If a% loss and b% profit occur then, total loss/profit is $(-a + b - {ab}/100)$%
(negative sign for loss and positive sign for profit)

Required per cent effect

= $(20 - 25 - {20 × 25}/100)%$

=( - 5 - 5)% = - 10% (10% decrease)

Negative sign shows decrease

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