NCERT Class X Chapter 5: Arithmetic Progression Example 16(i)
NCERT Class X Chapter 5: Arithmetic Progression Example 16(i) Question: A manufacturer of TV sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find : the production in the 1st year Given: Production in the 3rd year = 600 sets Production in the 7th year = 700 sets To Find: Production in the 1st year Formula: Let the production in the 1st year be 'a' and the uniform increase per year be 'd'. Then the production in the nth year is given by: a + (n-1)d Solution: Production in the 3rd year: a + 2d = 600 ⇒ Equation 1 Production in the 7th year: a + 6d = 700 ⇒ Equation 2 Subtracting Equation 1 from Equation 2: (a + 6d) - (a + 2d) = 700 - 600 ⇒ 4d = 100 ⇒ d = 25 Substituting d = 25 in Equation 1: a + 2(25) = 600 ⇒ a + 50 = 600 ⇒ a = 550 Result: Therefore, the production in the 1st year is 550 sets. Next question solution: N...