P buys an article for Rs. 280 and sells it to Q at a profit of 25%. Q sells it to R at some profit. R sells it to S for Rs. 560 making a profit of 40%. What percentage profit (rounded off to the nearest integer) did Q make?

Step 1: Find the Cost Price for Q (Selling Price of P)
Cost Price for P=Rs. 280
Profit percentage of P=25%

Selling Price of P=280×(1+
100
25
​
)=280×
4
5
​
=Rs. 350
Thus, Cost Price for Q=Rs. 350.

Step 2: Find the Cost Price for R (Selling Price of Q)
Selling Price of R to S=Rs. 560
Profit percentage of R=40%

Cost Price for R=
1+
100
40
​

Selling Price
​
=
1.4
560
​
=Rs. 400
Thus, Selling Price for Q=Rs. 400.

Step 3: Calculate the profit percentage made by Q
Cost Price for Q=Rs. 350
Selling Price for Q=Rs. 400

Profit of Q=400−350=Rs. 50
Profit percentage of Q=
350
50
​
×100=
7
1
​
×100≈14.28%≈14%