Question

What will be the cost of the second necklace?
(1) The cost of the first necklace is $\frac{1}{5}$ more than the second and the cost of the third necklace is $\frac{2}{5}$ more than the second. The total cost of all the three necklace is Rs. 120000
(2) The cost of the first necklace is $\frac{2}{5}$ more than the second. The cost of the third necklace is the least and total cost of all the three necklaces is Rs. 1,20,000.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Statement (1) and (2) together are not sufficient.

Answer 1

The correct option is A Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

(1) $\Rightarrow$ Ratio of the costs of first, second and third necklace is 6 : 5 : 7 and total cost is given. Hence the price of second necklace can be calculated.
(2) $\Rightarrow N_1=N_2+\frac{2}{5},N_3$ is least and $N_1+N_2+N+3=120000$
Since we don't know $N_3$. Therefore statement (2) is not sufficient to answer the questions.