RRB NTPC Graduation 2025 Discount (maths) Related Questions and answers
19/06/2025 Shift-2
18%, 24% ಮತ್ತು 18% ಎಂಬ ಮೂರು ಕ್ರಮಬದ್ಧ ರಿಯಾಯಿತಿಗಳ ನಂತರ, ಗುರುತಿಸಿದ ಬೆಲೆಯ ಪರಿಣಾಮಕಾರಿ ಶೇಕಡಾವಾರು ಬೆಲೆಯನ್ನು (ದಶಮಾಂಶದ ನಂತರ ಎರಡು ಸ್ಥಾನಗಳಿಗೆ ರೌಂಡ್ ಮಾಡಿ) ಕಂಡುಹಿಡಿಯಿರಿ.
English Question:
Find the effective price percentage of the marked price after three consecutive discounts of 18%, 24% and 18%.
(Rounded up to two decimal places.)
Options:
A) 51.10%
B) 54.41%
C) 48.56%
D) 53.54%
Correct Answer: A
We can solve this step by step.
🟢 Step 1: Use the formula for effective price after successive discounts
If successive discounts are (d_1, d_2, d_3), the effective price percentage (EPP) is:
[
\text{EPP} = (1 - d_1)(1 - d_2)(1 - d_3) \times 100
]
Where discounts are in decimal form.
🟢 Step 2: Convert percentages to decimals
d₁ = 18% = 0.18
d₂ = 24% = 0.24
d₃ = 18% = 0.18
🟢 Step 3: Multiply complements
[
(1 - d_1)(1 - d_2)(1 - d_3) = (1 - 0.18)(1 - 0.24)(1 - 0.18)
]
[
= 0.82 × 0.76 × 0.82
]
Step 3a: Multiply first two
0.82 × 0.76 = 0.6232
Then multiply by 0.82:
0.6232 × 0.82 ≈ 0.5110
🟢 Step 4: Convert to percentage
[
\text{Effective Price %} = 0.5110 × 100 ≈ 51.10%
]
🎯 Final Answer:
51.10% of the marked price
2)26%, 29% ಮತ್ತು 2% ಎಂಬ ಮೂರು ಕ್ರಮಬದ್ಧ ರಿಯಾಯಿತಿಗಳಿಗೆ ಸಮಾನವಾದ ಏಕೈಕ ರಿಯಾಯಿತಿಯನ್ನು (ದಶಮಾಂಶದ ನಂತರ ಎರಡು ಸ್ಥಾನಗಳಿಗೆ ರೌಂಡ್ ಮಾಡಿ) ಕಂಡುಹಿಡಿಯಿರಿ.
English Question:
Find a single discount (rounded up to two decimal places) equal to three consecutive discounts of 26%, 29% and 2%.
Options:
A) 47.56%
B) 47.12%
C) 48.51%
D) 48.86%
Correct Answer: C
We can solve this step by step.
🟢 Step 1: Use the formula for successive discounts
If three successive discounts are d₁, d₂, d₃, the equivalent single discount (D) is given by:
[
D = 1 - (1 - d_1)(1 - d_2)(1 - d_3)
]
Where discounts are in decimal form.
🟢 Step 2: Convert percentages to decimals
d₁ = 26% = 0.26
d₂ = 29% = 0.29
d₃ = 2% = 0.02
🟢 Step 3: Multiply complements
[
(1 - d_1)(1 - d_2)(1 - d_3) = (1 - 0.26)(1 - 0.29)(1 - 0.02)
]
[
= 0.74 × 0.71 × 0.98
]
Step 3a: Multiply first two
0.74 × 0.71 = 0.5254
Then multiply by 0.98:
0.5254 × 0.98 ≈ 0.515892
🟢 Step 4: Find single discount
[
D = 1 - 0.515892 \approx 0.484108
]
Convert to percentage:
[
D ≈ 48.41%
]
🎯 Final Answer:
48.41%
3)
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