Pakistan MCQs

Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.

Profit equals selling price minus cost price.
Thus, 920 - 800 = Rs. 120.

A 10% loss on Rs. 1,200 is Rs. 120.
Subtracting gives a selling price of Rs. 1,080.

The selling price is 125% of the cost price.
Thus, cost price = 1,500 ÷ 1.25 = Rs. 1,200.

The discount is 15% of Rs. 2,000, which is Rs. 300.
The sale price is Rs. 2,000 - Rs. 300 = Rs. 1,700.

Thirty percent of 20 liters is 0.30 × 20.
This equals 6 liters.

After a 10% discount, 90% remains; after another 20%, 80% of that remains.
The final price is 72%, so the total discount is 28%.

The solution contains 4 liters of salt, which remains unchanged.
For salt to be 25%, total volume must be 16 liters, so 6 liters are added.

Let cost be 100; marked price is 125 and sale price is 90% of 125 = 112.5.
The profit is 12.5 on a cost of 100.

For direct variation, x/y is constant.
The constant is 18/6 = 3, so x = 3 × 10 = 30.

Simple interest is PRT/100.
So 5,000 × 8 × 3 ÷ 100 = Rs. 1,200.

For inverse variation, xy is constant.
Since 12 × 4 = 48, x = 48/6 = 8.