2 2 6 1 0 1

# CP & SP SET 5

Q.1 A watch passes through three hands and each gains 25%. If the third sells it for \$250, what did the first pay for it (in \$)?
A) 102
B) 117
C) 128
D) None of these
Ans. C

If first person paid \$x for the watch, S.P. of first person = C.P. of second person = 1.25x
S.P. of second person = C.P. of third person = 1.25 × 1.25x
S.P. of third person = 1.25 × 1.25 × 1.25x = 250
? C.P. of first = = \$128

Q.2 A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is how much %

A) 5.3 %

B) 4.3 %

C) 5.1 %

D) 4.1 %

Ans. A

shortcut,
Learn this formula: Error/True weight- Error *100
Let True weight is 1000
Error=950 (Given)
Therefore,
1000-950/1000-(1000-950)*100
(Error is calculated as = True weight -Error)
=5.26 % or 5.3 % Ans.

Q.3 A man buys 1000 items at \$3 each. He sells 700 of them at \$4.50 each, and the rest at \$2.50 each. Find his average profit per item sold.

A) \$0.90

B) \$900

C) \$1.285

D) \$1.50

Ans. A

A man buys 1000 items for \$3 each
Total cost or C.P. = 1000 3 = \$3000
Total selling price of 700 items at 4.50 = 700 4.50 = \$3150
And selling price of rest of the items i.e. (1000 – 700) at 2.50 = 300 2.50 = 750
Total S.P. = 3150 + 750 = 3900
Now profit = 3900 – 3000 = 900
Average profit = = = \$0.90

Q.4 A bought 20 kg of sugar at the rate of Rs. 8.50 per kg and 30 kg of sugar at the rate of 9.75 per kg. He mixed the two. At what price per kg should he sell the mixture to get 25% profit on the cost price?

A) Rs.11.50

B) Rs.12.50

C) Rs.10.50

D) Rs.10.00

Ans. A
Apply direct formula :
Selling price of the mixture = {(20 × 8.5 + 30 × 9.75}/50 × 1.25 = 11.56

Q.5 A bought 20 kg of sugar at the rate of Rs. 8.50 per kg and 30 kg of sugar at the rate of 9.75 per kg. He mixed the two. At what price per kg should he sell the mixture to get 25% profit on the cost price?
A) Rs.11.50
B) Rs.12.50
C) Rs.10.50
D) Rs.10.00

Ans. A

Apply direct formula :
Selling price of the mixture = {(20 × 8.5 + 30 × } × 1.25 = 11.56 ??11.50