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Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below: 1. Z purchased 8 notebooks more than X did. 2. P and Q together purchased 21 notebooks. 3. Q purchased 5 notebooks less than P did. 4. X and Y together purchased 28 notebooks. 5. P purchased 5 notebooks more than X did. If each notebook is priced ₹40, then what is the total cost of all the notebooks?

Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below: 1. Z purchased 8 notebooks more than X did. 2. P and Q together purchased 21 notebooks. 3. Q purchased 5 notebooks less than P did. 4. X and Y together purchased 28 notebooks. 5. P purchased 5 notebooks more than X did. If each notebook is priced ₹40, then what is the total cost of all the notebooks? Correct Answer <span style="color: rgb(32, 33, 36); ">₹</span>2,600

Calculation:

P and Q together purchased 21 notebooks.

P + Q = 21  -----(1.)

Q purchased 5 notebooks less than P did.

P - Q = 5    -------(2.)

Solving equation (1.) and (2.), we get

P = 13 and Q = 8

P purchased 5 notebooks more than X did.

X = P - 5 = 13 - 5 = 8

Z purchased 8 notebooks more than X did.

Z = X + 8 = 8 + 8 = 16

X and Y together purchased 28 notebooks.

X + Y =28

Y = 28 - 8 = 20

Total number of notebooks = P + Q + X + Z + Y = 65

Cost of one notebook = Rs. 40

Cost of total books = 65 × 40 = 2600

Hence, option 1 is correct.

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