RS Aggarwal 2019,2020 solution class 7 chapter 11 Profit and Loss Test Paper 11

Test Paper 11

paper-160

Question 1:

By selling a chair for Rs 1375 a man gains 10%. Find its cost price.

Answer 1:

SP of the chair = Rs 1375
Gain% = 10

 CP of the chair={100(100 + Gain%)× SP} 

={100(100 + 10)× 1375} =137500110 = Rs. 1250

Question 2:

If the selling price of 10 pens is equal to the cost price of 14 pens, find gain per cent.

Answer 2:

Let the cost of each pen be Rs. 1
CP of 10 pens = Rs. 10
SP of 10 pens = CP of 14 pens = Rs. 14
Gain = SP - CP = 14-10= Rs. 4
Gain% = GainCP × 100% = 410× 100%= 40%

Question 3:

On selling a fan for Rs 2585 a man gains 110 of its cost price. Find the cost price of tha fan.

Answer 3:

Let the cost price of the fan be Rs. x.
Gain = Rs. x10
SP of the fan = ( x + x10)= Rs. 1110x                                                                  
SP of the fan = Rs. 2585      
∴  1110x = 2585 
⇒ 11x = 25850 
⇒ x = 2585011 = 2350


So, CP of the fan is Rs. 2350.

Question 4:

A man buys lemons at 6 for Rs 10 and sells at 8 for Rs 15. Find his gain per cent.

Answer 4:

Cost price of six lemons = Rs. 10
Cost price of one lemon = Rs. 106
Cost price of eight lemons =  8 × 106 = Rs. 806 = Rs. 13.33                                         
Selling price of eight lemons = Rs. 15

  Gain = SP- CP=Rs. (15 - 13.33) = Rs. 1.67 
                                                           
Gain% = GainC.P.× 100 %
=1.6713.33× 100  %
=12.5%

Question 5:

On selling a bat for Rs 486 a man loses 10%. Find the cost price of the bat.

Answer 5:

SP of the bat = Rs 486
Loss = 10%
CP of the bat = {100(100 - Loss%)× SP} 
={100(100 - 10)× 486} =  4860090 = Rs 540


CP of the bat = Rs 540

Question 6:

Mark (✓) against the correct answer
On selling a football for Rs 100, a man gains Rs 15. The cost price of the football is

(a) Rs 115
(b) Rs 85
(c) Rs 70
(d) Rs 130

Answer 6:

(b) Rs 85

SP of a football = Rs 100
Gain = Rs 15
Gain = SP - CP
        ⇒    15 = 100 - CP
       ⇒    CP = Rs (100 - 15)
       ⇒    CP= Rs 85

Question 7:

Mark (✓) against the correct answer
A vendor buys lemons at Rs 25 per dozen and sells at 5 for Rs 12. His gain per cent is

(a) 14.5%
(b) 15%
(c) 15.2%
(d) 16%

Answer 7:

(c) 15.2%

Cost price of 12 bananas = Rs. 25
Cost price of one banana = Rs. 2512
  Cost price of five bananas=Rs. 5 × 2512 = Rs. 12512 =Rs. 10.42                                                       

He sells five bananas at the cost (SP) of Rs. 12.
Gain = SP - CP

= =Rs. (12 - 10.42) = Rs. 1.58     

 Gain% = GainCP× 100% = 1.5810.4× 100 %= 15.2%                                    

Question 8:

Mark (✓) against the correct answer
On selling a jug for Rs 168, a man loses 17 of his outlay. The cost price of the jug is

(a) Rs 144
(b) Rs 192
(c) Rs 196
(d) none of these

Answer 8:

(c) Rs. 196

Let the cost price of the jug be Rs. x.
Loss = Rs. x7
SP of the jug = CP - Loss
=Rs. ( x - x7) = Rs. 67x                                       
                                                                                    
​SP of the jug = Rs 168         (given)

∴   67x = 168 
=168 × 76 x= 11766 x=196                    
   
∴ CP of the jug = Rs. 196

Question 9:

Mark (✓) against the correct answer
If the cost price of 5 bananas be equal to the selling price of 3 bananas, then gain per cent is

(a) 3313%
(b) 15%
(c) 6623%
(d) 40%

Answer 9:

(c) 6623%

Let the cost price of each banana be Re 1.
Cost price of three bananas = Rs. 3
SP of three bananas = CP of five bananas = Rs. 5
Gain = SP - CP =  Rs. ( 5 - 3 ) = Rs. 2     
                                                        
 Gain% = GainCP× 100% = 23× 100% = 2003 %= 6623%
                                 

Question 10:

Fill in the blanks.

(i) Loss = (CP) − (......).
(ii) CP = 100×SP(......+......).
(iii) Profit or loss is always reckoned on ...... .
(iv) 100(100-loss%)×SP=...... .

Answer 10:

(i) Loss = (CP) - (SP)

(ii) CP = 100 × SP(100 + Gain%)

(iii) Profit or loss is always reckoned on the cost price.
(iv)  100 × SP(100 - loss%)  = CP

Question 11:

Write 'T' for true and 'F' for false

(i) Loss is reckoned on selling price.
(ii) Gain is reckoned on cost price.
(iii) CP=100×SP(100-loss%).
(iv) Loss = (CP) − (SP).

Answer 11:

(i) False
Gain or loss is always reckoned on the cost price.
  
(ii) True
(iii) True
(iv) True

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