Problem #44 · September 9, 2026

Percentages

The price of a television was reduced twice in succession by the same percentage, falling from 2 000 000 soums to 1 620 000 soums. What was the percentage reduction each time?

A $19\%$
B $9{,}5\%$
C $81\%$
D $90\%$
E $10\%$

WORKED EXAMPLE

Solution

Let the price multiplier for each reduction be

k

2\,000\,000 \cdot k^2 = 1\,620\,000

, which gives

k^2 = 0{,}81

and

k = 0{,}9

. Thus, each time the price fell to

90\%

of its previous value, so the discount was

100\% - 90\% = 10\%

Solve today's problem