NCERT Solutions for Class 4th Maths Chapter 13 Chinnu’s Coins — Chinnu’s Coins

Book page 201 Updated on2026-09-19

Q1.
1. Five friends plan to visit an amusement park nearby. … The cost of the ticket is ₹ 750. Bujji has brought all notes of ₹ 200. Munna has brought all notes of ₹ 50. Balu has brought all notes of ₹ 20. Chinnu has all coins of ₹ 5. Sansu has all coins of ₹ 2. a) Find out how many notes/coins each child has to bring to buy the ticket.
Answer
Ticket Counter₹750/- per person
The price board at the amusement park ticket counter.
ChildNote / coinWorkingHow many
Bujji₹200 notes3 notes = ₹600, 4 notes = ₹8004 notes
Munna₹50 notes750 ÷ 50 = 1515 notes
Balu₹20 notes37 notes = ₹740, 38 notes = ₹76038 notes
Chinnu₹5 coins750 ÷ 5 = 150150 coins
Sansu₹2 coins750 ÷ 2 = 375375 coins
Bujji: 750 ÷ 200 = 3, and ₹150 is still left.
So 3 notes are not enough. He must bring 4 notes (₹800).
Balu: 750 ÷ 20 = 37, and ₹10 is still left.
So he must bring 38 notes (₹760).
Why it happens: ₹200 and ₹20 do not fit into ₹750 exactly, so the child must bring one extra note and take change.
Q2.
b) Which of these children will not receive any change from the cashier?
Answer
Ticket Counter₹750/- per person
The price board at the amusement park ticket counter.

Munna, Chinnu and Sansu will not get any change.

ChildMoney givenTicketChange
Bujji₹800₹750₹50
Munna₹750₹750nil
Balu₹760₹750₹10
Chinnu₹750₹750nil
Sansu₹750₹750nil

Bujji’s change:

710 
 800
750
  50

Balu’s change:

 760
750
  10
Why it happens: ₹50, ₹5 and ₹2 all divide ₹750 exactly, so those three can pay the exact amount.
Tip: Look at the last digits. 750 ends in 50, and 50, 5 and 2 all go into it with nothing left over.
Q3.
c) How long would the cashier take to count Chinnu’s coins?
Answer
Chinnu brings 150 coins of ₹5.

Sample answer. Say the cashier counts 1 coin every second.

150 coins × 1 second = 150 seconds
60 seconds = 1 minute
150 ÷ 60 = 2, remainder 30
150 seconds = 2 minutes 30 seconds

If the cashier counts 2 coins a second, it takes 75 seconds — about 1 minute 15 seconds.

Try This: Count 20 coins (or 20 pebbles) yourself with a clock. Then work out your own answer for 150.
Why it happens: Counting time depends on how fast we count, so we first decide a speed and then multiply.
Q4.
2. Observe the following multiplications. The answers have been provided. (12 × 13 = 156, 11 × 14 = 154, 13 × 13 = 169, 11 × 12 = 132) In each case, do you see any pattern in the two numbers and their product? (Hint: Look at the coloured digits!)
12× 1315611× 1415413× 1316911× 12132
The four multiplications printed in the book, with the coloured digits.
Answer
12× 1315611× 1415413× 1316911× 12132
The four multiplications printed in the book, with the coloured digits.

Both numbers start with 1. Look only at the ones digits.

ProblemOnes digitsTheir sumTheir productAnswer
12 × 132 and 356156
11 × 141 and 454154
13 × 133 and 369169
11 × 121 and 232132
The pattern
Hundreds digit of the answer = 1
Tens digit = sum of the two ones digits
Ones digit = product of the two ones digits
Example: 12 × 13
2 + 3 = 5  and  2 × 3 = 6
So the answer is 1 5 6 = 156
Why it happens: 12 × 13 = 12 × 10 + 12 × 3 = 120 + 36. The 100 gives the 1, the 20 and the 30 make the tens, and 2 × 3 makes the ones.
Q5.
For what other multiplication problems will this pattern hold? Find 5 such examples.
12× 1315611× 1415413× 1316911× 12132
The four multiplications printed in the book, with the coloured digits.
Answer

The pattern works when both numbers are in the teens (11 to 19) and

  • the two ones digits add to less than 10, and
  • the two ones digits multiply to less than 10.

Five examples:

ProblemSum of ones digitsProduct of ones digitsAnswer
11 × 131 + 3 = 41 × 3 = 3143
12 × 122 + 2 = 42 × 2 = 4144
11 × 151 + 5 = 61 × 5 = 5165
12 × 142 + 4 = 62 × 4 = 8168
11 × 171 + 7 = 81 × 7 = 7187
Where it breaks: 14 × 14
4 + 4 = 8 but 4 × 4 = 16, which is not one digit.
The true answer is 196, not 1–8–16.
Why it happens: The ones digit has room for only one digit. If the product of the ones digits is 10 or more, it carries into the tens and the neat pattern is spoilt.
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