Choose the correct statements: A. If a shopkeeper incurs a loss of 20% by…
2026
Choose the correct statements:
A. If a shopkeeper incurs a loss of 20% by selling an item for ₹560, the cost price of the item is ₹750.
B. 10% of 20% of 25% of 200 is equal to 10.
C. If 25% of x = 30% of y, then the value of x for y = 5000 is 6000.
D. If a person gains 6.25% by selling an item for ₹275, the cost price of the item is ₹26.
Choose the correct answer from the options given below:
- A.
A and D Only
- B.
A and C Only
- C.
C Only
- D.
B, C and D Only
Attempted by 23 students.
Show answer & explanation
Correct answer: C
Statement A: Loss 20% on SP ₹560 implies CP = 560 / (1 - 0.20) = ₹700. Claimed ₹750 is incorrect.
Statement B: 10% of 20% of 25% of 200 = 0.1 × 0.2 × 0.25 × 200 = 1. Claimed 10 is incorrect.
Statement C: 25% of x = 30% of y. If y = 5000, 0.25x = 1500, so x = 6000. Claimed 6000 is correct.
Statement D: Gain 6.25% on SP ₹275 implies CP = 275 / (1 + 0.0625) ≈ ₹258.8. Claimed ₹26 is incorrect.
Only Statement C is mathematically correct.