Question

Vinod has few pencils. If he sells each pencil at rs. 2.25, he earns rs. 110 profit. If he sells each pencil at rs. 1.75, he faces loss of rs. 55. How many pencils vinod has?

Answer 1

Answer:

320 pencils

Step-by-step explanation:

let the number of pencils be x.

Of course the buyer can sell an item at different price, but he must buy at single price. So Cost Price (CP) must be same in both the cases.

Case 1: By selling x pencils at Rs 2.25, he earns a profit of Rs 110. So Selling Price = Rs 2.25x.

We know that PROFIT = SP - CP,

so CP = SP - PROFIT

which mean CP = 2.25x - 110.

Case 2: By selling x pencils at Rs 1.75, he makes a loss of Rs 55. Here SP = Rs 1.75x.

LOSS = CP - SP, so CP = LOSS + SP.

Which means CP = 1.75x + 50.

CP is same for both (you may guess why).

so 1.75x + 50 = 2.25x - 110

which means 0.5x = 160

which means x = (160×10)/5 = 320.

Therefore, Vinod has purchased 320 pencils.