Question

1. The price of a cycle is reduced by 25%. The new price is
reduced by a further 20%. The two reductions together are
equal to a single reduction of
A. 45%
B. 35% C.40% D. 30%​

Answer 1

Answer:

OPTION C : 40%

Step-by-step explanation:

Let the original price of the cycle be Rs. x

New price after reduction of 25%= x- 25x/100 = 3x/4

Total On - road price after reduction of further 20%=

$\frac{3x}{4} - \frac{20 \times 3x}{100 \times 4} = \frac{3x}{5}$

Total reduction from original price =

$x - \frac{3x}{5} = \frac{2x}{5}$

Percentage of reduction=

$\frac{ \frac{2x}{5} }{x} \times 100\% = 40\%$