Question
Lalita and Meru started a business with investments in
the ratio 5:8, respectively. After 4 months, Lalita increased her investment by 40%, while Meru decreased her investment by 12.5%. If the total profit at the end of the year was Rs. 20,500, how much profit did Meru receive?Solution
ATQ,
Let the initial investment of 'Lalita' and 'Meru' be Rs. 5x and Rs. 8x respectively.
Increased investment of 'Lalita' = 5x X 1.4 = Rs. 7x
Decreased investment of 'Meru' = 8x X 0.875 = Rs. 7x
So, the ratio pf the profit share of 'Lalita' and 'Meru' respectively,
= {(5x X 4) + (7x X 8) }:{(8x X 4) + (7x X 8) }
= 19:22
So, required profit = 20500 X (22/41) = Rs. 11,000
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