Question

Cost price of a table is 35% more than cost price of a chair, if shopkeeper sold chair at 25% profit and table
at 33(1/3)%ofloss he gets the total loss of 1350 Rs. find the cost price of table?
1.9012.5 Rs. 2.9112.5 Rs. 3.9212.5 Rs. 4.9002.5 Rs. 5.9122.5 Rs.​

Answer 1

Solution :-

Let the cost price of the chair be x

Cost price of the table = 35 % more than the cost price of chair = x + 35 % of x = x + 35/100 * x = x(1 + 35/100) = x{(100 + 35)/100} = x(135/100) = 135x/100

Profit % on chair (P) = 25 %

SP of a chair = CP * (100 + P %)/100

= x * (100 + 25)/100

= x * 125/100

= 125x/100

Loss % on table = 33 1/3 % = 100/3

SP of a table = CP * (100 - L %)/100

= 135x/100 * (100 - 100/3)/100

= 135x/100 * {(300 - 100)/3}/100

= 135x/100 * (200/3)/100

= 135x/100 * 200/300

= 135x/100 * 2/3

= 270x/300

Total CP of chair and table = x + 135x/100 = (100x + 135x)/100 = 235x/100

Total SP of chair and table = 125x/100 + 270x/300 = (375x + 270x)/300 = 645x/300

Given Whole transaction is loss

Total loss = Total CP - Total SP

1350 = 235x/100 - 645x/300

1350 = (705x - 645x)/300

1350 = 60x/300

135 = 6x/300

135 * 300 = 6x

(135 * 300)/6 = x

135 * 50 = x

6750 = x

x = 6750

i.e CP of the chair = Rs. 6750

CP of the table = 135x/100 = 135(6750)/100 = 135(675)/10 = 91125/10 = Rs. 9112.5

Therefore the answer is Rs. 9112.5 i.e option (2)