The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal ?	Select the correct option
A) May 21
B) April 11
C) May 20
D) April 10
E) June 30
Explanation :   Price of Darjeeling tea (in rupees per kilo gram) is 100 + 0.10n   Price of Ooty tea (in rupees per kilo gram) is 89 + 0.15n   Price of the Darjeeling tea on the 100th day = 100 + 0.1 × 100 = 110.   =&gt; 89 + 0.15n = 110.   =&gt; n = 140.   Number of days in the months of January, February, March and April in the year 2007 = 31 + 28 + 31 + 30= 
<gadget id="calculator">31 + 28 + 31 + 30</gadget>
<output>120</output>
120.   Therefore, the price of both the tea will be equal on 20th May.   Answer : May 20
<result>C</result>
The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal ?