**Number Puzzle #90**

A man had Rs.900 and brought some toys with all the money. Out of which 5 toys were defected. He sold all the remaining toys by increasing the price by Rs.2 and made a profit of Rs.80.

What is the no.of initial toys and the initial cost of toys?

Check your answer, **Number of Toys**:-

Check your answer,** Initial Cost**:-

Let assume he had x toys and bought it for Rs.y per piece.

Now, we can form these two equations from these

x*y = 900;//Total cost

(y+2)(x-5) = 900+80;//as he mad profit of Rs.80 by selling x-5 toys in Rs.(y+2).

Now, we can form these two equations from these

x*y = 900;//Total cost

(y+2)(x-5) = 900+80;//as he mad profit of Rs.80 by selling x-5 toys in Rs.(y+2).

xy + 2x -5y -10= 900+80;

2x-5y = 90;

2x-5*900/x = 90

2x^2 -4500 = 90x;

x^2 -45x – 2250 = 0;

(x-75)(x+30) = 0;

x = 75 and x =–30, as number of toys cant be negative, initial **number of toys were 75**.

**Initial Cost = 900/75 = Rs.12.**

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Dhvani says

Let assume he had x toys and bought it for Rs.y per piece.

Now, we can form these two equations from these

x*y = 900;//Total cost

(y+2)(x-5) = 900+80;//as he mad profit of Rs.80 by selling x-5 toys in Rs.(y+2).

xy + 2x -5y = 900+80;

2x-5y = 80;

2x-5*900/x = 80

2x^2 -4500 = 80x;

x^2 -40x – 2250 = 0;

(x-45)(x+5) = 0;

x = 45 and x =-5, as number of toys cant be negative, initial number of toys were 45.

Initial Cost = 900/45 = Rs.20.

Firdaus says

the answer is 75 number of toys and cost is Rs.12 per toy.

Dhvani’s formula is wrong. it should be xy+2x-5y-10=980. The -10 was omitted in Dhvani’s formula

Mohan says

Your answer is wrong . Correct answer is initial number of toys is 75 and cost is Rs 12 only. Correct it