Question

a reduction of 5% in the price of tea a person would enable to obtain 5kg more for 2000rupee find the reduction rate per kg​

Answer 1

Answer:

Answer:

The original price of tea before reduction was approximately ₹ 2.86/kg

Step-by-step explanation:

Let the original price of tea be ₹ x/kg.

We are given that the price was reduced by 30%.

That implies, the new price of tea would be ₹ x - \frac{30}{100} * xx−

100

30

∗x

= ₹ \frac{100x - 30x}{100} = \frac{70x}{100} = \frac{7x}{10}

100

100x−30x

=

100

70x

=

10

7x

.

Since the original price per kg was ₹ x,

∴ for ₹20, \frac{20}{x}

x

20

kg of tea could be bought.

According to the question, due to the reduction in price, for ₹20, 3kg more tea can be bought now.

Amount of tea that can be bought for ₹20 in the reduced price of \frac{7x}{10}

10

7x

$is \frac{20}{\frac{7x}{10} } = \frac{200}{7x} kg$

⇒ \frac{20 + 3x}{1} = \frac{200}{7}

⇒ 7 (20 + 3x) = 2007(20+3x)=200

⇒ 140 + 21x = 200140+21x=200

⇒ 21x = 6021x=60

⇒ x = \frac{60}{21}x=

21

60

≅ 2.862.86 [/tex]

Thus, the original price of tea before reduction was ₹ 2.86/kg