Ram and Shyam entered in a business by making investment of ₹ 4000 & ₹ 5500 respectively. After six months Ram & Shyam withdrew ₹1000 and ₹1500 respectively and Mohan joined them with capital of ₹ 4x. If after one year and three months Mohan received ₹2250 as profit share out of total profit of ₹12250, then find investment of Mohan ?
Answers
Given : Ram and Shyam entered in a business by making investment of ₹ 4000 & ₹ 5500 respectively.
After six months Ram & Shyam withdrew ₹1000 and ₹1500 respectively and Mohan joined them with capital of ₹ 4x.
If after one year and three months Mohan received ₹2250 as profit share out of total profit of ₹12250,
To find : investment of Mohan
Solution:
one year and three months = 15 month
Ram investment = 4000 * 6 + (4000 - 1000) * (15 - 6)
= 24000 + 27000
= 51000
Shayam investment = 5500 * 6 + (5500 - 1500) * (15 - 6)
= 33000 + 36000
= 69000
Total Ram and shayam = 51000 + 69000 = 120000
Mohan received ₹2250 as profit share out of total profit of ₹12250,
Hence 12250 - 2250 = 10000 is of Ram and shayam out of ₹12250,
10000/12250 = 120000/y
=> y = 1,47,000
147000 - 120000 = 27000
27000 in 9 months
Hence 27000/ 9 = 3000
investment of Mohan = 3000
4x = 3000 => x = 750
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