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A and B have some money to buy chocolates. A and B bought chocolates in the ratio of 5: 6. After some time, they bought 35 extra chocolates each and due to which the ratio of the total number of chocolates became 8: 9 respectively. If the price of chocolate is 36 rupees, then find the total money spent by the person who had bought fewer chocolates.

A and B have some money to buy chocolates. A and B bought chocolates in the ratio of 5: 6. After some time, they bought 35 extra chocolates each and due to which the ratio of the total number of chocolates became 8: 9 respectively. If the price of chocolate is 36 rupees, then find the total money spent by the person who had bought fewer chocolates. Correct Answer 3360

Given:

A and B bought chocolates in the ratio of 5 : 6.

Price of each chocolate is Rs.36

Ratio of Total number of chocolates after A and B get 35 extra chocolates each A : B = 8 : 9

Calculation:

Let the initial number of chocolates bought by A be 5X,

then, the initial number of chocolates purchased by B be 6X.

ATQ,

(5X + 35)/(6X + 35) = 8/9

⇒ 9 (5X + 35) = 8 (6X + 35)

⇒ 45X + 315 = 48X + 280

⇒ 3X = 35

⇒ X = 35/3

We know that A bought the fewer chocolates,

No. of chocolates bought by A = 5X + 35

⇒ 5 × 35/3 + 35

⇒ 280/3

Hence, the required amount = (280/3) × 36 

⇒ Rs. 3360

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