J, K and L started a business. Twice the investment of J is equal to five times the investment of K, and the investment of K is twice the i… — Answer & Discussion

J, K and L started a business. Twice the investment of J is equal to five times the investment of K, and the investment of K is twice the investment of L. Find the share of J in a profit of Rs. 16800?

ARs. 19500
BRs. 24000
CRs. 10500
DRs. 14800

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Discussion 1

CCommunity17 May 2019

Let J’s investment be = X

Let K’s investment be = Y

Let L’s investment be = Z

According to the problem,

⇒ 2X = 5Y

⇒ Y = 2X/5 ---- (1)

According to the problem,

⇒ Y = 2Z ---- (2)

From (1) and (2) we get,

⇒ 2Z = 2X/5

⇒ Z = X/5 ---- (3)

∴ Ratio of investment of J, K and L

⇒ X : 2X/5 : X/5 = 5 : 2 : 1

∴ J’s share in this profit, = 16800 × (5/8) = 10500