A dealer bought an article at 10% discount on its marked price, and sold it at a price which was 15% above the marked price. The gain per cent (correct to the nearest integer) is:?

Question

A dealer bought an article at 10% discount on its marked price, and sold it at a price which was 15% above the marked price. The gain per cent (correct to the nearest integer) is:?

33%
35%
25%
28%

LohaHridoy

6 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 4 : 28%

Alternate MethodCP ∶ SP = (100 - D%) ∶ (100 + P%)

⇒ CP ∶ SP = (100 - 10) ∶ (100 + 15) = 18 ∶ 23

Profit = 23 - 18 = 5 units

Profit % = (5/18) × 100 ≈ 28%

∴ The required profit is 28%.

Traditional method:

Given:

A dealer bought an article at 10% discount on its marked price

Gain = 15% on MP

Formula used:

MP(1 - D%/100) = SP

where,

MP = Marked Price

SP = Selling price

D = Discount

Profit % = (SP - CP)/CP × 100

Calculation:

Let marked price of article be p

Now according to question,

CP = MP × (1 − 10/100)

⇒ CP = p × 90/100

⇒ CP = 0.9p

SP = MP(1 + 15/100)

⇒ SP = p(23/20) = 1.15p

Profit = 1.15 p − 0.9 p

⇒ 0.25 p

Profit % = {0.25/0.9} × 100

⇒ 27.778% ≈ 28%

∴ The gain per cent (correct to the nearest integer) is 28