Question
‘Anuj’ and ‘Bheem’ started a business with an
investment of Rs. (m + 5000) and Rs. (3m – 2500) respectively. After eight months, ‘Bheem’ increased his investment by Rs. 5,000. If the ratio of annual profit share of ‘Anuj’ to ‘Bheem’ is 15:26, then find the investment of ‘Anuj’.Solution
ATQ,
Respective ratio of profit share of ‘Anuj’ to ‘Bheem’ = [(m + 5000) × 12] : [(3m – 2500) × 8 + (3m – 2500 + 5000) × 4]
= [(m + 5000) × 3] : [(3m – 2500) × 2 + (3m + 2500)]
= (3m + 15000) : (9m – 2500) So, (3m + 15000) : (9m – 2500) = 15 : 26 Or, 26 × (3m + 15000) = 15 × (9m – 2500) Or, 78m + 390000 = 135m – 37500 Or, 57m = 427500 ⇒ m = 7500 ∴ Investment of Anuj = 7500 + 5000 = Rs. 12,500
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