Profit, Loss & Discount Questions for CAT with Answers PDF

0.8 x Price = 560 → Price 700.

1.12 x Price = 3808 → Price = 3400.

1800 = 1.2 x cost price → Cost price = 1500
Profit at 1687.5 = ₹ 187.5
Percentage profit = (187.5/1500) x 100 = 12.5%

The CP will be ₹ 7200 (got by 6400 x 1.125). Hence at an S.P. of 7812 the percentage profit will be 8.5%

The buying price is ₹ 6 per dozen, while the sales price is ₹ 0.75 x 12 = 9 per dozen – a profit of 50%

Solve using options. Option (d) gives you ₹ 220 as the cost of the trouser. Hence, the shirt will cost 15%
more i.e. 220 + 22 + 11 = 253.

Cost price = ₹ 1000, selling price = 0.9 of 1200 = 1080.

On a marked price of  ₹ 250, a discount of 20% would mean a selling price of ₹ 200. Since this represents a 25% profit we get:
1.25 xCP = 200 → CP = 160.

For ₹ 96, we can buy a dozen pair of gloves. Hence, for  ₹16 we can buy 2 pairs of gloves.

225 x 0.8 x x = 148.5 → x = 0.825
Which means a 17.5% discount.

C.P x 1.3 = 26 → CP = 20
At a selling price of ₹ 22.5, the profit percent 2.5/20 = 12.5%

The formula that satisfies this condition is:
Loss of a²/100% (Where a is the common profit and loss percentage).

Hence, in this case 625/100 = 6.25% loss.

The cost per toffee = 75/125 = ₹ 0.6 = 60 paise.
Cost of 1 million toffees = 600000. But there is a discount of 40% offered on this quantity. Thus, the total cost for 1 million toffees is 60% of 600000 = 360000.

100 → 75 (after 25% discount) → 60 (after 20% discount) → 54 (after 10% discount).
Thus, the single discount which would be equivalent would be 46%.

If you assume the cost price to be 100 and we check from the options, we will see that for Option (a) the marked price will be 133.33 and giving a discount of 6.25% would leave the shopkeeper with a 25% profit.

The customer pays ₹54 after a discount of 10%.
Hence, the list price must be ₹ 60.
This also means that at a 25% discount, the retailer buys the item at ₹45.
Hence, the profit for the retailer will be ₹9 (54 – 45).

The labour price accounts for ₹ 500. Since the profit percentage gives a 10% profit on this component i.e. 50.
Hence, the marked price is 1150.

SP = 820 = 0.82 x CP → CP = 1000. To gain a profit of 28%, the marked price should be 128% of 1000 = 1280.

The percentage profit

(Note: This formula can be used if the money got and money spent is equated.)

For 12 locks, he would have paid ₹51, and sold them at ₹ 57. This would mean a profit percentage of 11.76%