model 8 two article sold in different rates 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 : 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

The correct answers to the above question in:

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

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

Question : 1

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

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.

Question : 2

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 : 3

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 : 4

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 : 5

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%

Question : 6

The total cost price of two watches is Rs.840. One is sold at a profit of 16 per cent and the other at a loss of 12 per cent. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper gains, is

a) Rs.390

b) Rs.380

c) Rs.370

d) Rs.360

Answer: (d)

Let the cost price of first watch which sold on 16 per cent be x.

Then cost price of second watch = (840 - x )

According to the question,

$x × 116/100 + (800 - x) × 88/100$ = 840

$116/100 + {73920 - 88x}/100$ = 840

116x - 88x = 84000 - 73920

28x = 10080 ⇒ x = $10080/28$ = Rs.360

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