Question

15. Manish bought 1000 pencils for 3000 and sold 200 of these at a gain of 5%. At what gain per cent he must sell the remaining pencils so as to gain 15 % on the whole transaction​

Answer 1

Answer:

Step-by-step explanation:

C.P of 1000 pencils=Rs.3000

C.P of one pencil= 3000/1000 =Rs.3

Manish sold 200 pencils at the gain of 5%

C.P of 200 pencils= 3(200) =Rs.600

Profit= 5% of CP of 200 pencils= 5*600/100 = Rs.30

S.P of 200 pencils= C.P of 200 pencils + Profit = 600+30 =Rs.630

Manish wants to make a profit of 15% of whole transaction

Profit of whole transaction= 15*3000/100 =Rs.45

Profit to be made for 2nd transaction

= Profit of whole transaction - Profit of 1st transaction

= 450-30

= Rs.420

C.P of remaining pencils= 800*3 =Rs.2400

Let 'x' be the profit percentage of 2nd transaction

Profit of 2nd transaction= C.P of remaining pencils * (x/100)

=> 420 = 2400x/100

=> 420 = 24x

=> x = 420/24

=> x = 17.5

Answer is 17.5

Hope it helps