SSC GD Constable previous year question
The cost of a diamond is directly proportional to the square of its weight. The cost of the diamond is Rs. 87880. It breaks into two pieces whose weights are in the ratio of 5 : 8. What is the loss incurred because of the breakage?
Asked in SSC GD Constable 2024: 24 Feb 2024 Shift 1 · Quantitative Aptitude
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Correct answer: (B) Rs. 41600
Cost ∝ weight². For weights 5:8 (13 units total), cost/unit²=87,880/169=520. Piece1 (25 units²)=13,000. Piece2 (64 units²)=33,280. New total=46,280, a loss of 87,880−46,280=₹41,600.
हिंदी में प्रश्न
किसी हीरे की कीमत उसके भार के वर्ग के अनुक्रमानुपाती है। हीरे की कीमत 87880 रुपए है। यह दो टुकड़ों में टूट गया जिनका भार 5 : 8 के अनुपात में है। हीरे के टूटने से कितने की हानि हुई?
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सही उत्तर: (B) 41600 रुपए
Cost ∝ weight². For weights 5:8 (13 units total), cost/unit²=87,880/169=520. Piece1 (25 units²)=13,000. Piece2 (64 units²)=33,280. New total=46,280, a loss of 87,880−46,280=₹41,600.
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