Question

20. A shopkeeper bought locks at the rate of 8 locks for 34 and sold them at the rate of 12 locks for
57. Calculate:
(i) his gain per cent, and
(ii) the number of locks he should sell to earn a profit of 45.
[Hint. Let the number of locks bought be the LCM of 8 and 12]​

Answer 1

Answer:

x = 45*2 = 90.

Step-by-step explanation:

C.p. of 1 lock = 34/8 = 17/4.

S.p. of 1 lock = 57/12 = 19/4.

Profit earned in selling 1 lock = 19/4 - 17/4 = 1/2.

let the number of locks to be sold be x

(1/2)*x = 45

x = 45*2 = 90.

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Answer 2

Answer:

Cost price for a lock=34/8 =4.25

Selling price for a lock =57/12 =4.75

Profit=4.75*4.25=0.50

Profit%=0.50/4.25 x 100=11.76

Profit is 0.50 for a lock

When selling two locks we get one rupee

To get 45 RS profit =2 x 45=90

90 locks