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 man had 100 kgs of sugar, part of which he sold at 7% profit and rest at 17% profit. He gained 10% on the whole. How much did he sell at 7% profit ?

(a) 70 kg

(b) 30 kg

(c) 35 kg

(d) 65 kg

The correct answers to the above question in:

Answer: (a)

Let the amount of sugar sold at 7% profit be x kg. and let C.P. per kg be Rs.1.

Total C.P. = Rs.100

Total S.P. = 107% of x + 117% of (100 - x )

= 1.07x + 1.17 (100 - x )

= 1.07x + 117 - 1.17x = 117 - 0.1x

117 - 0.1x = 110% of 100

0.1x = 117 - 110 = 7

x = $7/{0.1}$ = 7 × 10 = 70 kg.

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

Question : 1

A house and a shop were sold for Rs.1 lakh each. In this transaction, the house sale resulted into 20% loss whereas the shop sale into 20% profit. The entire transaction resulted in :

a) loss of Rs.$1/18$ lakh

b) loss of Rs.$1/12$ lakh

c) gain of Rs.$1/24$ lakh

d) no loss no gain

Answer: (b)

Total S.P. = Rs.2 lakhs

C.P of house = Rs.$(100/80 × 1)$ lakh

= Rs.$5/4$ lakhs

C.P. of shop = Rs.$(100/120)$ × 1 lakh

= Rs.$5/6$ lakh

Total C.P. = Rs.$(5/4 + 5/6)$ lakhs

= Rs.$25/12$ lakhs

Loss = Rs.$(25/12 - 2)$ lakh = Rs.$1/12$ lakh

Question : 2

A man buys a field of agricultural land for Rs.3,60,000. He sells onethird at a loss of 20% and twofifths at a gain of 25%. At what price must he sell the remaining field so as to make an overall profit of 10 % ?

a) Rs.1,25,000

b) Rs.1,20,000

c) Rs.1,15,000

d) Rs.1,00,000

Answer: (b)

SP of total agricultural field

= Rs.$(360000 × 110/100)$ = Rs.396000

SP of one - third of the field

= $1/3 × 360000 × 80/100$ = Rs.96000

SP of $2/5$th of the field

= $2/5 × 360000 × 125/100$ = Rs.180000

∴ SP of the remaining field

=Rs.(396000 - 96000 - 180000) = Rs.120000

Question : 3

A dealer sold two types of goods for Rs.10,000 each. On one of them, he lost 20% and on the other he gained 20%. His gain or loss per cent in the entire transaction was

a) 4% loss

b) 4% gain

c) 2% gain

d) 2% loss

Answer: (a)

Using Rule 10,

Here, S.P. is same. Hence there is always a loss.

Loss per cent = ${20 × 20}/100$ = 4%

Question : 4

A person bought two bicycles for Rs.1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get Rs.5 more. The difference of the cost price of the two bicycles was :

a) Rs.75

b) Rs.25

c) Rs.40

d) Rs.50

Answer: (d)

If the C.P. of first cycle be x, then C.P. of second cycle = Rs.(1600 - x ).

Then, ${x × 120}/100 + {(1600 - x) × 110}/100$

$- {x × 110}/100 - {(1600 - x) × 120}/100$ = 5

12x + 17600 - 11x - 11x - 19200 + 12 x = 50

2x = 50 + 19200 - 17600

2x = 1650 ⇒ x = 825

C.P. of second cycle

= 1600 - 825 = Rs.775

Difference = 825 - 775 = Rs.50

Question : 5

Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs.400, then the value of the consignment was

a) Rs.16,500

b) Rs.16,000

c) Rs.15,500

d) Rs.15,000

Answer: (d)

Let the price of the sent items be x.

According to the question,

${2x}/3 × 5/100 - x/3 × 2/100$ = 400

${10x}/3 - {2x}/3$ = 400 × 100

${8x}/3 = 40000 ⇒ x = {40000 × 3}/8$ = Rs.15000

Question : 6

A man sold two watches for Rs.240 each. On one he gains 20% and incurs a loss of 20% on another. What is his gain or loss per cent in this transaction ?

a) 4% loss

b) 4% profit

c) 2% loss

d) 1% profit

Answer: (a)

Using Rule 10,

Required loss % = $(20)^2/100 = 400/100$ = 4%

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