Question

1.. A book seller receives net profit RS 1800 for 20 statistics books after allowing a discount
of 15% and 2% for cash. Find the marked price or market price of a book?

2. A property change hands fourtimes and each time the loss to the seller was 10%. If in the
last transaction the loss was 729 RS, find out the original value of the property.

Answer 1

Given :  property change hands four times and each time the loss to the seller was 10%.  in the last transaction the loss was 729 Rs

To find : the original value of the property

Solution:

Let say Market  Price  = M

Discount = 15 %

Selling Price = M - (15/100)M = 0.85M

Selling Price of 20 Books = 20 * 0.85M = 17M

Cash discount = 2 %

=> net amount received = 17  - (2/100)17M

= 17 * 98 M/100

Cost Price =  17 * 98 M/100    - 1800  

Cost Price is missing in Question to find Marked Price

original value of the property = P

After 3 transaction Property cost  = P(1 - 10/100)³

= P ( 0.729)

Loss in 4th transaction = (10/100) P ( 0.729)   =  0.0729P

0.0729P = 729

=> P  = 10000

original value of the property  = Rs 10000

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