Question

A factory sells coir foam mattresses to an agent at a profit of 20%. The agent again sells it at wholesale rate to a shopkeeper at a profit of 10%. The shopkeeper sells it at a retail price, making a profit of 12½%. Find:
(i) The wholesale price of the mattress, which costs the manufacturer Rs 1500.
(ii) The retail price of the same mattress.
(iii) The percentage of profit the manufacturer would make, if he sells a mattress to the customer directly, at the shopkeeper's rate.

Answer 1

Manufacturer sell mattresses at profit =20•/•
Profit of manfacrurer. = 20/100 ×1500
=Rs 300
Total price. = 300+1500
= Rs 1800

Manufacturer sells to agent at= Rs 1800
profit of agent. =10•/•
amount of profit. =10/100×1800
=Rs 180
Wholesale price of mattresse = 1500+300+180
=Rs 1900


Agent sells to shopkeeper at = Rs 1900
profit of shopkeeper. =12.5•/•
amount of profit. = 12.5/100×1900
= Rs 237.5
Retail price. =1900+237.5
=Rs 2137.5

Total profit if manufacturer directly sells
at shpkeeper's rate. =300+180+237.5
=Rs 717.5
profit percentage. =717.5/2137.5×100
= 33.3•/•

Answer 2

The solution has been mentioned in the below pictures... Please check them out..

Hope they help :)