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# Match each of the entries in Column I with the appropriate entries in Column II:

Column I Column II

(i) 3:5 (A) ₹ 54

(ii) 2.5 (B) ₹ 47\

(iii) 100% (C) ₹ 53

(iv) 2/3 (D) ₹ 160

(v) 6 1/4% (E) 60 %

(vi) 12.5 % (F) 25 %

(vii) SP when CP = ₹50 and loss = 6 % (G) 1/16

(viii) SP when CP = ₹50 and profit = ₹4 (H) 250 %

(ix) Profit% when CP = ₹40 and SP = ₹50 (I) ₹ 159

(x) Profit% when CP = ₹50 and SP = ₹60 (J) 66 2/3 %

(xi) Interest when principal = ₹800,Rate of

interest = 10% per annum and period = 2 yrs (K) 20 %

(xii) Amount when principal = ₹150,

rate of interest = 6% per annum

and period = 1 yr (L) 0. 125

(M) 3 : 2

(N) ₹ 164

(O) 3 : 3

**Solution:**

We have to match each of the entries in Column I with the appropriate entries in Column II.

(i) 3:5

In percentage, 3:5 = 3/5 × 100

= 3(20)

= 60% (E)

(ii) 2.5

In percentage, 2.5 × 100 = 250% (H)

(iii) 100%

Ratio = 100/100 : 1

= 1 : 1

Multiplying by 3 on both sides,

= 3 : 3 (O)

(iv) 2/3

In percentage, 2/3 × 100

= 200/3

= 66 2/3 % (J)

(v) 6 1/4 %

6 1/4 = 25/4%

In fraction, (25/4) / 100 = 25/400 = 1/4 (G)

(vi) 12.5%

In fraction, 12.5/100 = 0.125 (L)

(vii) SP when CP = ₹50 and loss = 6 %

SP = 50 - 6% of 50

= 50 - (6/100) × 50

= 50 - 6/2

= 50 - 3

SP = ₹47 (B)

(viii) SP when CP = ₹50 and profit = ₹4

We know, Profit = SP - CP

4 = SP - 50

SP = ₹54 (A)

(ix) Profit% when CP = ₹40 and SP = ₹50

Profit = SP - CP

= 50 - 40

= ₹10

Profit% = Profit/CP × 100

= 10/40 × 100

= 100/4

= 25% (F)

(x) Profit% when CP = ₹50 and SP = ₹60

Profit = SP - CP

= 60 - 50

= ₹10

Profit% = Profit/CP × 100

= 10/50 × 100

= 100/5

= 20% (K)

(xi) Interest when principal = ₹800, Rate of interest = 10% per annum and period = 2 years

We know, I = P × R × T/100

I = 800 × 10 × 2 / 100

= 8 × 20

= ₹160 (D)

(xii) Amount when principal = ₹150, Rate of interest = 6% per annum and period = 1 year

We know, I = P × R × T/100

I = 150 × 6 × 1 / 100

= 15 × 6/10

= 3 × 3

= ₹9

We know, A = P + I

A = 150 + 9 = ₹159 (I)

**✦ Try This:** The Selling price of 3 aticles is equal to the cost price of 4 articles. Find the profit percentage.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 8

**NCERT Exemplar Class 7 Maths Chapter 7 Problem 129**

## Match each of the entries in Column I with the appropriate entries in Column II: Column I Column II (i) 3:5 (A) ₹ 54 (ii) 2.5 (B) ₹ 47 (iii) 100% (C) ₹ 53 (iv) 2/3 (D) ₹ 160 (v) 6 1/4% (E) 60 % (vi) 12.5 % (F) 25 % (vii) SP when CP = ₹50 and loss = 6 % (G) 1/16 (viii) SP when CP = ₹50 and profit = ₹4 (H) 250 % (ix) Profit% when CP = ₹40 and SP = ₹50 (I) ₹ 159 (x) Profit% when CP = ₹50 and SP = ₹60 (J) 66 2/3 % (xi) Interest when principal = ₹800, Rate of interest = 10% per annum and period = 2 yrs (K) 20 % (xii) Amount when principal = ₹150, rate of interest = 6% per annum and period = 1 yr (L) 0. 125 (M) 3 : 2 (N) ₹ 164 (O) 3 : 3

**Summary:**

(i) 3:5 → (E) 60%, (ii) 2.5 → (H) 250%, (iii) 100% → (O) 3 : 3, (iv) 2/3 → (J) 66 2/3 %, (v) 6 1/4% → (G) 1/16, (vi) 12.5 % → (L) 0.125, (vii) SP when CP = ₹50 and loss = 6 % → (B) ₹47, (viii) SP when CP = ₹50 and profit = ₹4 → (A) ₹54, (ix) Profit% when CP = ₹40 and SP = ₹50 → (F) 25%, (x) Profit% when CP = ₹50 and SP = ₹60 → (K) 20 %, (xi) Interest when principal = ₹800,Rate of interest = 10% per annum and Period 2 yrs → (D) ₹160, (xii) Amount when principal = ₹150, rate of interest = 6% per annum and period = 1 yr → (I) ₹159

**☛ Related Questions:**

- In a debate competition, the judges decide that 20 percent of the total marks would be given for acc . . . .
- Divide ₹10000 in two parts so that the simple interest on the first part for 4 years at 12 percent p . . . .
- ₹9000 becomes ₹18000 at simple interest in 8 years. Find the rate per cent per annum

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