CRE 5 - Discount | Percentage, Profit & Loss
1. CRE 5 - Discount | Percentage, Profit & Loss
A trades man charges 20% above cost price. He then allows a discount of 10%. After the whole transaction what will be his gain% or loss%?
- A.
12% loss
- B.
10% gain
- C.
8% gain
- D.
None of these
Answer: Option
C
Explanation :
Let CP = 100
Marked price = 120
Discount = 120 × 10/100 = Rs. 12
Final SP = 120 – 12 = 108 Rs.
∴ Profit = 108 – 100 = 8%
Hence, option (c).
2. CRE 5 - Discount | Percentage, Profit & Loss
A merchant marked his goods 20% above the cost price and sold the goods at a profit of 8%. The rate % of discount is:
- A.
12%
- B.
10%
- C.
15%
- D.
8%
Answer: Option
B
Explanation :
Let the CP be x then, MP = 1.2 x
SP = 1.08 x if y% discount is allowed, then (1.2 x) (1 – y%) = 1.08 x
⇒ (1 – y) = 0.9
⇒ y = 0.1 or 10%
Hence, option (b).
3. CRE 5 - Discount | Percentage, Profit & Loss
Two shopkeepers sell the machines at the same list price. The first allows two successive discounts of 30% and 6%; and the second 20% and 16%. Which discount series is more advantageous to the purchaser?
- A.
305 and 6%
- B.
20% and 16%
- C.
Both have same value
- D.
None of these
Answer: Option
A
Explanation :
Let the marked price be M
Case I :Shopkeeper No. 1 SP= (0.7) M × (0.94) = 0.658 M
Case I :Shopkeeper No. 2 SP= (0.8) M × (0.84) = 0.672 M
Discount in case I = (1 – 0.658) > discount in case II = (1 – 0.672)
Hence, option (a).
4. CRE 5 - Discount | Percentage, Profit & Loss
The cost price of an article is 80% of its marked price. The dealer allows 15% discount on the marked price. Find the gain or loss percent?
- A.
25%
- B.
10%
- C.
6.25%
- D.
8.5%
Answer: Option
C
Explanation :
Let the marked price be m
Then, CP = 0.8 m and SP = 0.85 m
gain % = (0.85m - 0.8m)/(0.8m) = (0.05m)/(0.8m) = 0.0625 = 6.25%
Hence, option (c).
5. CRE 5 - Discount | Percentage, Profit & Loss
A sewing machine with a marked price of Rs. 400 was being sold at a 10% discount for cash payment and during the stock clearance a further discount was offered so that the machine now cost Rs. 342. What was the second discount offered?
- A.
2.5%
- B.
5%
- C.
7.5%
- D.
8%
Answer: Option
B
Explanation :
If x is the second discount then, (0.9)(400)(1-x)=342
360 – 360 x = 342
⇒ x = 18/360 = 0.05 or 5%
Hence, option (b).
6. CRE 5 - Discount | Percentage, Profit & Loss
Successive discounts of 30%, 25% and 20% are equivalent to a single discount of
- A.
58%
- B.
40.33%
- C.
41.24%
- D.
51.26%
- E.
None of these
Answer: Option
A
Explanation :
Selling Price = 0.7 × 0.75 × 0.8 = 0.42 = 42%.
Therefore single discount = 100 – 42 = 58%.
Hence, option (a).
7. CRE 5 - Discount | Percentage, Profit & Loss
The difference between the discounts of 30% on Rs. 1000 and two successive discounts of 20% and 10 % on the same price is
- A.
Nil
- B.
Rs. 20
- C.
Rs. 16.30
- D.
Rs. 11.85
- E.
None of these
Answer: Option
B
Explanation :
The 20% and 10% successive discounts equal to
-20 - 10 + 200/100 = -28%
The difference = 30 – 28 = 2%
∴ 2% of 1000 = Rs. 20
Hence, option (b).
8. CRE 5 - Discount | Percentage, Profit & Loss
At what percentage above the cost price must an article be marked so as to gain 36% after allowing a discount of 15%?
- A.
60%
- B.
36%
- C.
39%
- D.
27.5%
- E.
None of these
Answer: Option
A
Explanation :
MP = CP ((100 + Profit percentage))/((100 - Discount percentage))
MP = CP × 136/85 = 1.6 CP
∴ The MP should be 60% above the CP
Hence, option (a).
9. CRE 5 - Discount | Percentage, Profit & Loss
A trader allows two successive discounts of 30% and 15%. If he sells the article for Rs.357, then the marked price of the article is
- A.
Rs. 420
- B.
Rs. 546
- C.
Rs. 755
- D.
Rs. 600
- E.
None of these
Answer: Option
D
Explanation :
Net discount = -30 – 15 + 450/100 = 40.5%
SP = MP × ((100 - Discount%))/100
357 = MP × 59.5/100
⇒ MP = Rs. 600.
Hence, option (d).
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