Question : The cost of a piece of diamond varies with the square of its weight. A diamond of INR 6,084 value is cut into 3 pieces whose weights are in the ratio 3 : 2 : 1. Find the loss involved in the cutting.

Option 1: INR 3,768

Option 2: INR 3,718

Option 3: INR 3,168

Option 4: INR 3,518

Question : The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is INR 2,560. This diamond was broken down into two pieces in the ratio of 5 : 9. How much loss percentage is incurred due to this breakage? (Correct to two decimal places)

Option 1: 53.47%

Option 2: 49.71%

Option 3: 45.92%

Option 4: 55.41%

Question : The price of a diamond is directly proportional to the square of its weight. A man accidentally broke the diamond into three pieces in the ratio of 3 : 5 : 7 and thus lost Rs. 42600. What was the original price (in Rs.) of the diamond?

Option 1: 11786

Option 2: 60000

Option 3: 67500

Option 4: 75000

Question : A table was bought for INR 3,000 and sold for INR 3,200. Find the gain or loss in terms of money.

Option 1: Gain INR 200

Option 2: Loss INR 200

Option 3: Gain INR 100

Option 4: Loss INR 150

Question : The sum of weights of A and B is 80 kg. 50% of A's weight is $\frac{5}{6}$ times the weight of B. Find the difference between their weights.

Option 1: 20 kg

Option 2: 10 kg

Option 3: 25 kg

Option 4: 15 kg

Question : The weights of two iron balls are 3.5 kg and 7.5 kg. What is the percentage weight of the first ball with respect to the weight of the second ball?

Option 1: $46\frac{2}{3}$%

Option 2: $35$%

Option 3: $46\frac{1}{3}$%

Option 4: $45$%