Question

A wholesaler bought two bags of rice of the same weight and value. He sold the first bag at $35.50 per kilo and made a profit of $422.50. But the second bag was only sold at $28.00 per kilo. He therefore made a loss of $65.00. Find (a) The weight of each bag. (b) The cost of one kilo of rice.

Answer 1

For 1st bag ,:---

selling price of per kg rice was $35•50

profit was $422•50 rs

if we consider , each bag contain X kg of rice, then we can say:--

X×35•50=422•50

there fore X = 422•50/35•50= 11•90kg

Ans:- each bag contained 12 kg (11•90.) rice.

Answer 2

Given:

Selling prices (per Kg) of two equal rice bags = $35.50 and $28

Profit in selling first bag = $422.50

Loss in selling the second bag = $65

To find:

a). Weight of each rice bag

b). Cost of one kilo of rice

Solution:

Let the weight of each bag of rice = w kg

Let the cost price of each bag = $c

Profit by selling the first bag at $35.50 per kg = $422.50

Profit = Selling price - Cost price

35.5w - c = 422.50 -----(1)

Similarly, for other bag,

Loss of $65 occurred by selling $28 per kilo

Loss = Cost price - Selling price

c - 28w = 65  ------ (2)                          

By adding both the equations

(35.5w - c) + (c - 28w) = 422.50 + 65

7.5w = 487.5

w = $\frac{487.5}{7.5}$

w = 65 kg

By putting w = 65 in equation (2)

c - 28(65) = 65

c = $1885 for each bag

Per kg price of the rice = $\frac{1885}{65}$

                                       = $29

Therefore, weight of each rice bag is 65 kg.

Cost of one kilo of rice will be $29