Question

The price of tea is reduced by 40%. Now a person can buy 600g more tea for rs. 36. The original price of the tea per kilogram was

Answer 1

If the price of tea is reduced by 40% then the person gets 600 g more in Rs 36. So, the original price per kg of tea is Rs.  40.

Step-by-step explanation:

Let the original price of tea be Rs. “x” per kg.

So, the new price per kg of tea after reducing the price by 40% = x - 40% of x = 0.6x

It is given that after reducing the price the person gets 600 g more tea for Rs. 36, therefore, we can write the eq, as,

$\frac{36}{0.6x} - \frac{36}{x} = \frac{600}{1000}$

⇒ $36 [ \frac{x - 0.6x}{x * 0.6x} ]$ = 0.6

⇒ $\frac{36 * 0.4x}{0.6x^2}$ = 0.6

⇒ 14.4 = 0.36x

⇒ x = $\frac{14.4}{0.36}$

⇒ x = 40

Thus, the original price of tea is Rs. 40 per kg.

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Answer 2

Step-by-step explanation:

Given The price of tea is reduced by 40%. Now a person can buy 600 g more tea for rs. 36. The original price of the tea per kilogram was

• Let the original price of tea be Rs x / kg
• New price of tea = x – x x 40 / 100 = 3 x / 5
• Amount of tea for Rs 36 with new price = 36 / 3x / 5
•                                                                  = 60 / x
• According to question one can buy 600 g more tea
•                                                   60 / x = 36/x + 600 / 1000
•                                                    60/x = 36/x + 3/5
•                                                     60/x – 36/x = 3/5
•                                                         24/x = 3/5
•                                                    3 x = 120
•                                              Or x = 40

Therefore the original price of sugar was Rs 40 / kg.