Question
‘Arvind’, ‘Binny’ and ‘Chinnu’ started a
Startup business of Construction suppliers with Rs.1,00,000, Rs.2,50,000 and Rs.2,00,000 respectively. What is the total profit at the end of the year? Statement I: If ‘Arvind’ invested Rs.50,000 more after 6 months and ‘Binny’ and ‘Chinnu’ withdrew Rs.50,000 each at the same time, then ‘Binny’ would have got Rs. 99,000 as profit. Statement II: Difference between the profit shares of ‘Arvind’ and ‘Chinnu’ is Rs.42,000. Statement III: Simple interest on Chinnu’s profit share for 2 years at 10% p.a. The rate of interest is Rs.16,800.Solution
ATQ, Ratio of investment of ‘Arvind’, ‘Binny’ and ‘Chinnu’ respectively = 10000:25000:20000 = 2:5:4 Statement I: Ratio of investments of ‘Arvind’, ‘Binny’ and ‘Chinnu’ respectively = ((10000 × 6) + (15000 × 6)):((25000 × 6) + (20000 × 6)):((20000 × 6) + (15000 × 6)) = 5:9:7 Total profit = 9900 × (21/9) = Rs. 3100 So, data in statement I alone is sufficient to answer the question Statement II: Total profit = [4200 × (11/(4 - 2))] = Rs.23100 So, data in statement II alone is sufficient to answer the question. Statement III: Let, total profit = 11x C’s share = 11x × (4/11) = Rs.4x Now, (4x × 2 × 10)/100 = 1680 Or, x = 2100 Or, 11x = 23100 Total profit = Rs. 23100. So, data in statement III alone is sufficient to answer the question. Hence, option e.The data in any of the given statements alone is sufficient to answer the question
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