Question

आमो की मूल्य में 20% कमी के बाद, एक व्यक्ति ₹15 में 12 आम अधिक खरीदने में सक्षम हो जाता हैं। कमी से पहले आमों का मूल्य क्या था?

Answer 1

Given:

आमो की मूल्य में 20% कमी के बाद, एक व्यक्ति ₹15 में 12 आम अधिक खरीदने में सक्षम हो जाता हैं। कमी से पहले आमों का मूल्य क्या था?

To find:

कमी से पहले आमों का मूल्य क्या था?

Solution:

Let "x" be the original price of the mangoes before reduction.

So,

The reduced price of the mangoes = $x - \frac{20}{100}x = \frac{100x - 20x}{100} = \frac{80x}{100} = \bold{0.8x}$

Therefore,

The no. of mangoes bought for Rs. 15 at the original price = $\frac{15}{x}$

and

The no. of mangoes bought for Rs. 15 at the reduced price = $\frac{15}{0.8x}$

Now, as given in the question, we can form an equation as,

$\frac{15}{0.8x} - \frac{15}{x} = 12$

$\implies 15 [\frac{1}{0.8x} - \frac{1}{x} ]= 12$

$\implies 15 [\frac{x - 0.8x}{0.8x^2} ]= 12$

$\implies 15 [\frac{0.2x}{0.8x^2} ]= 12$

$\implies 15 [\frac{1}{4x} ]= 12$

$\implies x = \frac{15}{4\times 12}$

$\implies \bold{x = 0.31}$

Thus, the price before the reduction was → ₹ 0.31.

----------------------------------------------------------------------------------------------

Also View:

A reduction in the price of mangoes by 20% enables a farmer to purchase 12 more mangoes for Rs. 15. So what could be the price of 16 mangoes before the reduction of the price?

brainly.in/question/6791906

the reduction in 10% in the price of mangoes in able Vicky to buy 2 kg mangoes for rupees 360 find the reduced price per kg the original price per kg​

brainly.in/question/11919077

Since prices of mangoes decreased by 25% I can purchase 4 mangoes more for Rs. 60. What is the original price of one mango?

brainly.in/question/2694450