Question

4. The owner of a flower shop follows a particular pattern
for his business. During a period of inflation, he raises
his price by % and during a slow down he decreases
his existing prices by P%. After a year in which there
was inflation first, followed by a slowdown, the cost of
a red-rose bouquet decreases by Rs 162. After another
year, in which there was inſlation once more followed
by a slowdown, the cost of this bouquet reduced by a
further Rs 147.42. What was the original price of the
red-rose bouquet?​

Answer 1

Answer:

Step-by-step explanation:

Let x be the original price of the bouquet.

∴ $x(\frac{100+P}{100}) (\frac{100-P}{100}) = x - 162$  

$(x - 162)(\frac{100+P}{100}) (\frac{100-P}{100}) = x - 162-147.42$

Dividing the above equations and cross multiplying, we get:

$x^{2} + 162^{2} - 324x = x^{2} - 309.42x\\14.58x = 162^{2} \\x = 1800$