Question

A reduction of 25% in the price of onion enables Richa to buy extra 5kg of it. If she paid Rs 240 for her purchase of onion, find the original price of onions.
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Only revalent answers
❌Irrelevant answers will be reported ❌​

Answer 1

Answer:

Reduction of 25% = 1/4

This means that,

Orginal price is 4 and new price is 3

• And we know that quantity is inversely proportional to price,

• quantity purchased by person is 3 at 4 rs and after reduction quantity purchase by person is 4 at 3 rs

Increment in quantity is 1 which us equal to 5 kg

Initially person was purchasing 5×4=20kg rice

Original price is 240/20 = ₹120

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Answer 2

Given: 25% reduction in the price of onion enables Richa to buy extra 5kg of it.

           Amount paid by her = Rs. 240

To find: Original price of onions

Solution:

Let original price = Rs. X per kg

Reduced rate = (75% of Rs. X) per kg = Rs. $\frac{75X}{100}$ per kg

                                                                = Rs. $\frac{3X}{4}$ per kg

Quantity of Onions for Rs. 240 at original price = $\frac{240}{X}$ kg

Quantity of Onions for Rs. 240 at new price = $\frac{240}{\frac{3X}{4} }$ kg  

                                                                         = (240 x 4)/3X kg = $\frac{320}{X}$ kg

According to the question, when price reduces by 25%, Richa is able to buy 5kg extra onions on same amount i.e., Rs. 240     

.: $\frac{320}{X}$ - $\frac{240}{X}$ = 5

⇒ (320 - 240)/X = 5

⇒ 80/X = 5

⇒ 5X =  80

⇒ X = 16   

Hence, the original price of onions is Rs. 16 per kg.