Umesh took 100 chocolates out of 250 chocolates from Ruchi. Umesh gave 20% of his chocolates to Shalaka and 35% of his chocolates to Marry. Then Ruchi gave 50% of her remaining chocolates to Umesh. Find the number of chocolates Umesh had at the end.

Correct option is C

Given:

Umesh took 100 chocolates out of 250 chocolates from Ruchi.

Umesh gave 20% of his chocolates to Shalaka and 35% of his chocolates to Marry.

Ruchi gave 50% of her remaining chocolates to Umesh.

Solution:

Calculating the number of chocolates Umesh gave away.

Umesh took 100 chocolates from Ruchi.

Umesh gave 20% of his chocolates to Shalaka:

20% of 100 = $$\frac{20}{100} \times 100$$​ = 20

Umesh gave 35% of his chocolates to Marry:

35% of 100 = $$\frac{35}{100} \times 100$$​ = 35

Total chocolates given away by Umesh:

20 + 35 = 55

So, Umesh is left with:

100 – 55 = 45 chocolates

Calculating the number of chocolates Ruchi has left.

Ruchi originally had 250 chocolates.

Umesh took 100 chocolates, so Ruchi has: 250 – 100 = 150 chocolates left

Ruchi gives 50% of her remaining chocolates to Umesh:

50% of 150 =$$\frac{50}{100} \times 150$$​ = 75

So, Ruchi gives 75 chocolates to Umesh.

Umesh already had 45 chocolates.

Ruchi gave him 75 chocolates.

So, the total chocolates Umesh has at the end are: 45 + 75 = 120