Question
The cost of diamond varies directly as the square of its
weight. A diamond broke into four pieces with weights in the ratio 3 : 4 : 5 : 6. if the loss in the total value of the diamond was Rs. 119,000. The price of the original diamond was?Solution
Let the weight of the pieces of diamond be 3x, 4x, 5x, 6x Total weight of diamond = 3x + 4x + 5x + 6x = 18x Price ∝ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(18x)2 Price of pieces = (9kx2 + 16kx2 + 25kx2 + 36kx2) = 86kx2 Loss in price = 324kx2 – 86kx2 = 238kx2 which is given as 119,000 => 238kx2 = 119000 => kx2 = 500 Original price = 324kx2 = 324 x 500 = 162000
Which bill passed by Australia’s House of Representatives restricts social media access for children under 16 years?
Recently which of the following telecommunication firm has launched Wynk Studio, a music distribution ecosystem for independent artists?
Which organization imposed monetary penalties on Manappuram Finance, Ola Financial Services, and Visa Worldwide for non-compliance with regulatory guide...
Which country is the eighth to adopt India’s UPI system for domestic retail payments?
Who has been named captain of the Ahmedabad IPL team?
To emphasize the diversity of the G20 participants and guest countries, the G20 Flower Festival being organized in which city?
Who is the author of the book "Basu Chatterji: And Middle-of-the-Road Cinema" and which publishing house is releasing it?
Cashfree Payments has introduced a new platform for payment orchestration that will help Indian businesses manage different payment systems with just on...
What annual growth rate does the Reserve Bank of India state is necessary for India to fully capitalize on its demographic dividend?
What is the total capacity of the Ghatampur Thermal Power Project inaugurated by PM Modi?
Relevant for Exams:
