model 8 two article sold in different rates Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16 [SSC CGL Prelim 2004]

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 : 17 [SSC CGL Prelim 1999]

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 : 18 [SSC CPO S.I.2007]

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 : 19 [SSC CGL Tier-II 2012]

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 : 20 [SSC SAS 2010]

A cloth merchant sold half of his cloth at 20% profit, half of the remaining cloth at 20% loss and the rest was sold at his cost price. In the total transaction, his gain or loss will be

a) 10% profit

b) 5% loss

c) Neither loss nor gain

d) 5% profit

Answer: (d)

Total CP = Rs.100

Total SP = Rs.$({50 × 120}/100 + {25 × 80}/100 + 25)$

= Rs.(60 + 20 + 25) = Rs.105

Gain% = 5% $[{105 - 100}/100 × 100]$

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