Question
Alok and Kajal started a business by investing Rs. 'X'
and Rs. (X + 700), respectively. 20 months later, Kajal withdrew his entire investment. At the end of 24 months, the total profit from the business was Rs. 8,200, out of which profit share of Kajal was Rs. 1,800 more than that of Alok. Find the value of 'X'.Solution
Number of months for which Alok invested in the business = 20 + 4 = 24 months Let the profit share of Alok out of the total profit of Rs. 8200 = Rs. 'Y' Then, profit share of Kajal out of the total profit of Rs. 8200 = Rs. (Y + 1800) So, Y + Y + 1800 = 8200 Or, Y = (8200 - 1800) ÷ 2 = 3200 So, profit shares of Alok and Kajal are Rs. 3,200 and Rs. 5,000, respectively. So, respective ratio of profit shares of Alok and Kajal = (X × 24):{(X + 700) × 20} = 24X:(20X + 14000) = 3200:5000 = 16:25 So, 24X × 25 = (20X + 14000) × 16 Or, 600X = 320X + 224000 Or, X = 224000 ÷ 280 = 800
Who is the writer of the book Swatantra Samar ?
Skateboarding, surfing and rock climbing have officially been added to the ________ Los Angeles Olympics.
Which clothing brand collaborated with the National Basketball Association (NBA) to launch and operate NBAStore.in in India?
Which AI-powered tool was developed by IIIT-Delhi to identify anti-ageing molecules?
Who among the following Mauryan kings turned to Buddhism and its tenet of nonviolence after the Kalinga war?
Which launch vehicle was used to launch India's first solar observatory mission, Aditya-L1, from the Satish Dhawan Space Centre in Sriharikota?Â
Which Indian athlete won gold in the shot put event at the Asian Indoor Athletics Championships?
What is the Asia rank of the Indian Institute of Science (IISc) in THE Asia University Rankings 2025?
Who has been appointed as the new head of the Defence Intelligence Agency?
______Â has signed an MoU with Andhra Pradesh in the areas of industrial development, financial Inclusion, public health, cyber security and prevention...
Relevant for Exams:
