Question

A person marks his 40 items at 20% of the cost price. He sell
10 items at a 10% discount 20 items at a
15% discount on marked
price. what is the maximun
discount
he can offer on the remaining items if he still gets some profit?​

Answer 1

Answer:

26.67%

Step-by-step explanation:

Let cost price of each items be Rs. 1

Cost price of 40 items = 1 × 40 = Rs. 40

MP of 40 items = 40 × (120/100) = Rs. 48

Selling price of 10 items = 10 × (120/100) × (90/100) = Rs. 10.8

Selling price of 20 items = 20 × (120/100) × (85/100) = Rs. 20.4

MP of the remaining 10 items = 10 × 120/100 = Rs. 12

Net profit = (12 + 20.4 + 10.8) - Rs. 40 = 43.2 - 40 = Rs. 3.2

If he gives discount Rs. 3.2 on Rs. 12 he gets neither profit nor loss.

Required discount = 3.2/12 × 100 = 26.67%

Answer 2

Solution :-

Let us assume that, CP of each item is Rs.x .

so,

→ MP of each item = (x * 120)/100 = Rs.1.2 x

now, 10 items are sold at 10% discount.

so,

→ MP of 10 items = 10 * 1.2x = Rs.12x

→ SP of 10 items = MP * (100 - D%) / 100 = (12x * 90)/100 = Rs.10.8x

similarly, 20 items are sold at 15% discount.

so,

→ MP of 20 items = 20 * 1.2x = Rs.24x

→ SP of 20 items = MP * (100 - D%) / 100 = (24x * 85)/100 = Rs.20.4x

then,

→ SP of 30 items = 10.8x + 20.4x = Rs.31.2x .

now,

→ CP of 40 items = 40 * x = Rs.40x

and,

→ MP of rest 10 items = 1.2x * 10 = Rs.12x .

now, let us assume that, he sold the rest 10 items at MP only .

then,

→ Profit he gets = Total SP - Total CP = (31.2x + 12x) - 40x = 43.2x - 40x = Rs.3.2x .

therefore, we can conclude that, if gives Rs.3.2x discount on rest 10 items he gets no profit no loss .

hence,

→ Discount % = (Discount in Rs. * 100) / MP of rest items = (3.2x * 100) / 12x = 26.67% .

∴ If the person gives discount less than 26.67% he gets some profit .

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