Ques:- X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X is invested Rs.40,000, the amount invested by Y is
A. Rs. 40,000
B. Rs. 45,000
C. Rs. 50,000
D. Rs. 60,000
Right Answer:
We are given:
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Profit sharing ratio of X : Y = 2 : 3
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X invested ₹40,000
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We are to find how much Y invested
🟢 Step 1: Use the concept of profit-sharing ratio = investment × time (assuming same time period)
So, if X’s share is 2 parts and he invested ₹40,000, then:
Let Y’s investment be ₹x
Now set up the ratio:
X′s investmentY′s investment=23\frac{X’s\ investment}{Y’s\ investment} = \frac{2}{3} 40000x=23\frac{40000}{x} = \frac{2}{3}
🟢 Step 2: Cross-multiply:
2x=3×40000=120000⇒x=1200002=600002x = 3 × 40000 = 120000 \Rightarrow x = \frac{120000}{2} = 60000
✅ Final Answer:
The amount invested by Y is ₹60,000.