Question

find the actual profit% of the shop keeper when he tampered weighing machine that shows 950 gm instead of 1 kg?

Answer 1

A shopkeeper was selling rice at a profit of 20%, however; he was unaware of the fact that his weighing machine was tampered and showed 950 grams for 1 kilogram. What is his actual profit percentage?

His machine shows 950 gm.

But the real weight is 1000 gm.

Let us assume that he has purchased 1000 gm for ₹P

1 gm purchase cost is ₹ P/1000

Though the actual weight is 1000 gm , the machine shows only 950 gm.

In each 1000 gm he looses 50 gm of rice.

Cost of 50 gm rice is ₹ 50*P/ 1000 .

Cost of 950 gm rice is ₹950 *P/ 1000.

For each 950 gm he gets a profit of ₹950 *0.2 *P/ 1000.

But indirectly he looses an amount of(capital) ₹ 50*P/ 1000

Real profit is only ₹950 * 0.2 *P/ 1000.-₹ 50*P/ 1000 = ₹140*P/1000

Actual profit percentage is 14%