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The rate of a certain variety of rice increases by 20%. A man gets that variety of rice 3 kg less for Rs.630 in comparison with the quantity that he w
Question

The rate of a certain variety of rice increases by 20%. A man gets that variety of rice 3 kg less for Rs.630 in comparison with the quantity that he would have got at the old rate. Find the old rate of that variety of rice.

A.

Rs.36 per kg

B.

Rs.35 per kg

C.

Rs.37 per kg

D.

Rs.34 per kg

Correct option is B

Given:
The rate of a certain variety of rice increases by 20%

A man gets 3 kg less rice for Rs. 630 at the new rate compared to the old rate.

Solution:

Using the initial rate =5 x

After 20% increment new rate = 5x +20%of 5 =6x

According to question
6305x6306x=3\frac{630}{5x} - \frac{630}{6x} = 3  

126 -105 =3x
x = 7
Thus, the old rate of the rice is 5x=Rs35

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