A reduction of 20% in the price of rice enables a customer to purchase 12.5 kg…
2022
A reduction of 20% in the price of rice enables a customer to purchase 12.5 kg more for Rs. 800. The original price of rice per kg is:
Answer: D. Rs. 16 — Let the original price of rice per kg be Rs. x. After a 20% reduction, the new price is 0.8x per kg. With Rs. 800, the quantity that could be bought…
- A.
Rs. 12
- B.
Rs. 14
- C.
Rs. 15
- D.
Rs. 16
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Correct answer: D
Let the original price of rice per kg be Rs. x.
After a 20% reduction, the new price is 0.8x per kg.
With Rs. 800, the quantity that could be bought originally is 800/x kg.
After the price reduction, the quantity that can be bought is 800/(0.8x) kg.
The difference in quantity is given as 12.5 kg.
So, 800/(0.8x) - 800/x = 12.5.
Simplify: 800/(0.8x) = 1000/x.
So, 1000/x - 800/x = 12.5.
200/x = 12.5.
x = 200 / 12.5 = 16.
Thus, the original price of rice per kg is Rs. 16.
हिन्दी उत्तर:
माना चावल की मूल कीमत प्रति किग्रा x रुपये है।
20% की कमी के बाद, नई कीमत 0.8x प्रति किग्रा होगी।
800 रुपये में मूल रूप से खरीदा जा सकने वाला मात्रा 800/x किग्रा है।
कीमत में कमी के बाद, खरीदा जा सकने वाला मात्रा 800/(0.8x) किग्रा है।
मात्रा में अंतर 12.5 किग्रा दिया गया है।
इसलिए, 800/(0.8x) - 800/x = 12.5।
सरल करने पर: 800/(0.8x) = 1000/x।
इसलिए, 1000/x - 800/x = 12.5।
200/x = 12.5।
x = 200 / 12.5 = 16।
इसलिए, चावल की मूल कीमत प्रति किग्रा 16 रुपये है।