A jewellery dealer initially offered a bracelet for sale at an asking price that would give a profit of 40 percent of the original cost to the dealer. What was original cost of the bracelet? I. After reducing this asking price by 10 percent, the jewellery dealer sold the bracelet at a profit of Rs.403. II. The jewellery dealer sold the bracelet for Rs.1953.
A :
If one statement alone is sufficient, but the other statement is not sufficient to answer the question.
B :
If both statement I and II together are sufficient to answer the question, but neither statement alone is sufficient.
C :
If each statement alone is sufficient to answer the question.
D :
If statement I and II together are not sufficient to answer the question.
Answer: A Asking price could be taken as sale price which is equal to 140% of cost price. Using statement I, discount of 10% is given on ask price or sale price. It is sold at 90% of SP and obtained profit of 403 => 0.9 × 1.4 CP ⇒ CP = Rs. 1550 Using statement II, the dealer sold it for Rs. 1953, But we do not know, if the bracelet is sold at an asking price or a original cost. Therefore, answer cannot be obtained. Statement I above is enough to answer.
Q. No. 158:
In a bottle manufacturing unit, the number of bottles produced in the day shift is exactly twice those produced in the night shift. The number of defective bottles produced in the day shift is what percentage of the number of defective bottles produced in the night shift? I. The defective bottles in the day shift is one-fifth of the total production of bottles in the night shift. II. The defective bottles in one complete days production is 10%.
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using both the statements together but not by either of the statements alone.
D :
If the question can be answered by using either of the statements alone.
Answer: C Neither of the statements is independently sufficient, as we can't get the number of defective bottles produced in day and night shifts. Combining both the statements, if the number of bottles produced in night shift is p, then those produced in day shift is 2p. Then, the total number of defective bottles is 10% of 3p i.e 3p/10 Also, the number of defective bottles produced in day shift is 20% of p i.e 2p/10. Hence, the number of defective bottles produced during night shift is p/10. Therefore, the required percentage can be calculated.
Q. No. 159:
If the cost of 7 apples, 5 oranges and 3 banana is Rs 71. What is the total cost of an apple, an orange and a banana ? I. The total cost of an apple, 3 oranges and 5 banana is Rs 33. II. The total cost of 4 apple, 3 oranges and 2 banana is Rs 42.
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using both the statements together but not by either of the statements alone.
D :
If the question can be answered by using either of the statements alone.
Answer: D Let the cost of each apple, each oranges and each banana be a,b and c respectively. Given that, 7a+5b+3c = 71 ..........(i) Statement I : a+3b+3c = 33 .........(ii) Adding equation (i) and (ii), we get a+b+c = 13. Statement II : 4a+3b+2c = 42 .........(iii) Multiplying equation (iii) by (ii) and subtracting equation (i) from this, we get, a+b+c = 13. Either of the statements are sufficient.
Q. No. 160:
Does, Amit have more money than Bharti, if they have a total of Rs 120 with them ? I. If Bharti gives Rs 20 to Amit, the differences of the amounts with them will be Rs 40. II. If Amit gives Rs 10 to Bharti, the differences of the amounts with them will be Rs 20.
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using both the statements together but not by either of the statements alone.
D :
If the question can be answered by using either of the statements alone.
Answer: A Let the amount with Amit and Bharti be Rs a and Rs b respectively. Statement I : If Bharti gives Rs 20 to Amit. Amit and Bharti would have Rs (a+20) and Rs (b-20) respectively. a+20 - (b-20) = 20 or b-20 - (a+20) = 20 => a = b or b-a = 80. Amit doesn't have more money than Bharti. Statement II : a-10 - (b+10) = 20 or a+10 - (b-10) = 20 => a= b or a-b =40 If a-b = 40, Amit has more money than Bharti. if a=b, Amit does not have more money than Bharti. Statement II alone is insufficient.
Q. No. 161:
Ravi went to the market to buy some apples and bananas. Each apple and each banana cost Rs 7 and Rs 11 respectively. He spent a total of Rs 233 on both fruits. Did he buy more than 28 fruits ? I. He bought more apples than bananas. II. If the cost of each apple was Rs 2 more, his total expenditure on fruits would have been Rs 10 more.
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using both the statements together but not by either of the statements alone.
D :
If the question can be answered by using either of the statements alone.
Answer: B Let the number of apples and bananas Ravi purchased be a and b respectively. Total expenditure of Ravi on fruits = 7a+11b = 233. The possibilities of (a,b) are (5,18), (16,11) and (27,4). Statement I : a > b => (16,11) or (27,4) Thus, statement I alone is insufficient. Statement II : 9a+11b = 243 and 7a+11b = 233 The only possibility is (5,18). In this case, he bought less than 28 fruits.
Q. No. 162:
What is the value of p ? I. The sum of 5 times a number and (3-p) times the number is equal to to 6 and also sum of 15 times the number and 9 times the other number is equal to 18. II. The sum of eight times p and seventeenth times q is equal to 108, where p and q are positive integers.
A :
If the question can be answered by using statement I alone but not by using statement II alone.
B :
If the question can be answered by using statement II alone but not by using statement I alone.
C :
If the question can be answered by using either of the statements alone.
D :
If the question can be answered by using both the statements together but not by either of the statements alone.
Answer: B Statement I : 5x + (3-p)y = 6 ........(i) and 15x + 9y = 18..........(ii) (ii) - 3(i) => p = 0 or y=0. Statement I alone is not sufficient. Statement II : 8p+17y = 106 p = (108-17y)/8 = > y = 4 and p =15 (as, y and p are integers) Only statement II alone is sufficient.