Question

Q79. A reduction of 10% in the price of rice enables a shopkeeper to obtain 25 kg more for Rs. 2250. The original price per kg was

• A. (a) Rs.20
• B. (b) Rs.15
• C. (c) Rs.10
• D. (d) Rs.25

Answer 1

The correct option is C

(c) Rs.10

Suppose original price was Rs. x per kg.

$\therefore$ Required price = $Rs,\frac{9x}{10}perkg$

Suppose the shopkeeper purchase y kg of rice originally.

$\therefore$ xy = 2250

$\frac{9x}{10}(y+25)=Rs2250$

$\Rightarrow$ 9xy+225x=22500

$\Rightarrow$ 225x=22500-9 $\times$ 2250=2250

$\Rightarrow$ x = 10