HAT MCQs

A 20% profit gives a selling price of Rs. 960.
Since this is 80% of marked price, marked price = 960/0.8 = Rs. 1,200.

He charges for 1,000 grams but supplies only 900 grams.
Gain percentage is 100/900 × 100 = 11 1/9%.

The selling price is 80% of the marked price.
Thus, marked price = 960 ÷ 0.80 = Rs. 1,200.

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.

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

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

Two centimeters represent 100,000 centimeters in reality.
Since 100,000 cm = 1 km, the answer is 1 kilometer.

The difference of ratio parts is 5, corresponding to 35.
One part is 7, so the larger number is 9 × 7 = 63.

Five parts equal Rs. 50,000, so one part is Rs. 10,000.
Expenditure is four parts, leaving one part as saving.

Six consecutive integers centered at 17.5 are 15 through 20.
Therefore, the smallest is 15.