An increase of 25 percent in the price of onions enables a woman to buy 5 kg less for Rs. 200. The increased price of onions per kg is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 10 per kg.
The price of onions has increased by 25%. Due to this, a woman can buy 5 kg less for Rs. 200.
Price = Total cost/Quantity bought
The difference in the quantity bought at the old and new prices = 5 kg
Let the initial price per kg of onions be x.
The initial quantity bought = 200/x
The new price = 1.25x
The new quantity bought = 200/(1.25x)
ATQ -
⇒ 200/x - 200/(1.25x) = 5
⇒ 200/x - 800/5x = 5
⇒ (1000 - 800)/5x = 5
⇒ 200 = 25x
⇒ x = 8 Rs/kg
The increased price = 1.25x = 1.25(8) = Rs. 10/kg