Question

The number of chocolates in the three packets P, Q and R are in the ratio of 2 : 3 : 4. The total number of chocolates in the three packets is 270. Packet R sells 20 chocolates to packet P and 10 chocolates to packet Q. After this sale, what is the ratio of chocolates in packets P : Q : R?

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Answer 1

SOLUTION :

GIVEN

• The number of chocolates in three packets P, Q & R are in the ratio 2 : 3 : 4

• The total number of chocolates in the three packets is 270

• Packet R sells 20 chocolates to packet P

• Packet R sells 10 chocolates to packet Q.

TO DETERMINE

After this sale, what is the ratio of chocolates in packets P : Q : R

CALCULATION

Since the number of chocolates in the three packets P, Q and R are in the ratio of 2 : 3 : 4

Let the number of chocolates in the three packets P, Q and R are 2x, 3x and 4x respectively

So

$\sf{}2x + 3x + 4x = 270$

$\implies \sf{}9x = 270$

$\implies \sf{}x =30$

So

The number of chocolates in the P = 60

The number of chocolates in the Q = 90

The number of chocolates in the R = 120

Now Packet R sells 20 chocolates to packet P and Packet R sells 10 chocolates to packet Q

So after this sale

The number of chocolates in the P

$= 60 + 20$

$= 80$

The number of chocolates in the Q

$= 90 + 10$

$= 100$

The number of chocolates in the R

$= 120 - 20 - 10$

$= 90$

Hence After this sale, what is the ratio of chocolates in packets P, Q, R is

$= 80 : 100 : 90$

$= 8 : 10 : 9$

FINAL ANSWER

After this sale, what is the ratio of chocolates in packets P, Q, R is 8 : 10 : 9

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LEARN MORE FROM BRAINLY

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Answer 2

Answer:

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Step-by-step explanation:

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